3 hearts
4 triangle
H:T
3:4
So, ratio of hearts to triangles in simplest form is 3:4
(we can't simplify any further - HCF of 3 & 4 is 1)
Hope this helps!
From a hot-air balloon, Ian measures a 30^{\circ}
∘
angle of depression to a landmark that’s 1250 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 721.7 f
Angle of elevation and depressionIn order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity
Given the following parameters
Angle of depression = 30 degrees
Horizontal distance =1250 feet
Required
vertical distance H
Using the SOH CAH TOA identity
tan 30 = H/1250
H = 1250tan30
H = 721.7 feet
Hence the balloon’s vertical distance above the ground is 721.7 feet
Learn more on angle of elevation and depression here: https://brainly.com/question/2096694
#SPJ1
Answer:
721.7
Step-by-step explanation:
-------------------------------------------------------------------------------
Solve the equation for x
z=m+x-y a)x=-z+m+y b)x=z-m+y c)x=z+m-y d)x=z+y+m
Answer:
x = z - m + y
Step-by-step explanation:
Given:
[tex]\displaystyle \large{z = m+x-y}[/tex]
To solve for x-term, we have to isolate it. We can do by subtracting m-term both sides and add y-term both sides.
[tex]\displaystyle \large{z-m+y=m+x-y-m+y}\\\\\displaystyle \large{z-m+y=x}\\\\\displaystyle \large{x=z-m+y}[/tex]
Therefore, the answer to this question is x = z - m + y
Please let me know if you have any questions regarding my answer or explanation!
Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]
[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]
help please and I'll mark you brainiest.
The probability will include:
P(A and 1) = 1/24P(C and 2) = 1/12.P(B and 3) = 1/12.P(A and 4) = 1/12How to calculate the probability?The probability of P(A and 1) will be:
= 1/4 × 1/6
= 1/24
The probability of P(C and 2) will be:
= 1/4 × 2/6
= 1/12
The probability of P(B and 3) will be:
= 2/4 × 1/6
= 1/12
The probability of P(A and 4) will be:
= 1/4 × 2/6
= 1/12
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
What is the value of y?
log^464 = y
OA. 16
OB. 8
OC. 3
OD. 4
The value of y in the given logarithmic equation is 3. The correct option is C. 3
Evaluating Logarithmic equationFrom the question, we are to determine the value of y in the given logarithmic equation
The given equation is
[tex]log_{4}64=y[/tex]
By applying one of the laws of logarithm, we get
[tex]64 = 4^{y}[/tex]
Now, express 64 in index form,
[tex]4^{3} = 4^{y}[/tex]
Since the bases are equal, we can equal the powers to get
3 = y
∴ y = 3
Hence, the value of y in the given logarithmic equation is 3. The correct option is C. 3
Learn more on Logarithmic equations here: https://brainly.com/question/237323
#SPJ1
There is a pair of parallel sides in the following shape 6,4,8 what is the area of the shape?
A triangular prism. The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet. The 2 triangular sides have a base of 2 feet and height of 1.5 feet.
Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet.
If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?
Trenton will need
square feet of plywood.
The amount of plywood that he needs to buy will be 21 square feet.
What is the surface area of the triangular prism?Let the prism with a length of L of the rectangular surface.
And the dimension of the triangle is A, B, and C. Then we have
SA = 2(area of triangle) + 3(area of rectangle surface)
A triangular prism.
The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet.
The 2 triangular sides have a base of 2 feet and a height of 1.5 feet.
Then the area of the triangle will be
⇒ 1/2 x 2 x 1.5
⇒ 1.5 square feet
The area of the rectangles will be
⇒ 3 x 2 + 3 x 2.5 + 3 x 1.5
⇒ 18 square feet
Then the surface area of the triangular prism will be
Surface area = 2 x 1.5 + 18
Surface arae = 3 + 18
Surface area = 21 square feet
More about the surface area of the triangular prism link is given below.
https://brainly.com/question/16765719
#SPJ1
find the height of a a cuboid if it's length is 10m , breadth is 5m and LSA is 180m² .
NONSENSE = REPORT
[tex]\huge\sf\underline{Answer}[/tex]
Let's find out ~
Given :-
Length ( l ) = 10m Breadth ( b ) = 5m LSA = 180m²Solution :-
[tex]\sf\rightarrow \:LSA \: of \: cuboid \: = 2h \: ( \: l + b \: )[/tex]
[tex]\sf\rightarrow \: 180 = 2h \: (10 + 5)[/tex]
[tex]\sf\rightarrow180 = 2h \: \times 15[/tex]
[tex]\sf\rightarrow 180 = 30h \: [/tex]
[tex]\sf\rightarrow \: 30h \: = 180[/tex]
[tex]\sf\rightarrow \: h = \frac{180}{30} [/tex]
[tex]\sf\rightarrow \: 6[/tex]
Thus , the height of cuboid is 6m
2. Ozzie Foster deposits $2,000 at the end of each year (ordinary annuity) into an Individual Retirement
Account at Bishop Bank. The account pays 7% compounded annually. a) How much will be in the account
in 25 years? b) If Ozzie haddeposited the $2,000 at the beginning of each year (annuity due), how much
would be in the account in 25 years?
Answer:
250.000$
Step-by-step explanation:
so you multiple 2.000 by 25
What is the diameter of a circle that has a circumference of 120 pi
Answer:
38.1971
Step-by-step explanation:
The formula for diameter is circumference/ pi. So 120/3.14... is 38.1971
The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.
The equation that could be used to determine the volume of Box B is (B = 14.325cm³ - 5.61cm³) and the volume of Box B is 8.715cm³.
This question is incomplete, the complete question is:
The sum of the volume of two rectangular prisms, box a and box b are 14.325cm cubed. Box a has a volume of 5.61cm.
a. Let B represent the volume of Box B in cubic centimeters. Write an equation that could be used to determine the volume of Box B.
b. Solve the equation to determine the volume of Box B
What is volume?Volume is simply the amount of space that is enclosed within a container.
Given that;
Sum of the volume of two rectangular prisms A&B = 14.325cm³Volume of Box A = 5.61cm³a)
Let B represent the volume of Box B in cubic centimeters. The equation that could be used to determine the volume of Box B will be;
Sum of the volume of two rectangular prisms A&B = Volume of Box A + Volume of Box B
14.325cm³ = 5.61cm³ + B
B = 14.325cm³ - 5.61cm³
Hence, The equation that could be used to determine the volume of Box B is B = 14.325cm³ - 5.61cm³
b)
To determine the volume of Box B, we solve the equation.
B = 14.325cm³ - 5.61cm³
B = 8.715cm³
Hence, the volume of Box B is 8.715cm³.
Learn more about volume rectangular prism here: https://brainly.com/question/9796090
#SPJ1
Based on the information in the table what is the probability of being a girl and choosing lemonade?
Select one:
a.
21%
b.
.20
c.
20%
d.
38%
e.
.38
Using it's concept, it is found that the probability of being a girl and choosing lemonade is given by:
b. 0.2.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 130 people, 26 are girls who choose lemonade, hence the probability is given by:
p = 26/130 = 0.2, which means that option b is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
please help... The triangle represents a cross section from a 3D prism. Draw or describe the 3D prism that produced this cross section.
The 3D prism that produced the cross-section of a triangle is a triangular prism.
How to describe the 3D prism?From the given figure, we can see that the cross-section is a triangle
One of the faces of a triangular prism is a triangle.
This means that when the triangular prism is cut vertically, a triangle face is created
Hence, the 3D prism that produced the cross-section of a triangle is a triangular prism.
Read more about cross-sections at:
https://brainly.com/question/3603397
#SPJ1
Jessie invests $33 in the stock market. Over the 3 years she has this invested she gets an average return of 7,8%. How much will her investment be worth after the 3 years?
Answer:
it would end up being about $40.73
Step-by-step explanation:
multiply 0.078 by 3 then multiply that by 33
Answer:
hope you can understand
Given the circle below secant kjI and tangent hi find the length of hi round to the nearest tenth if necessary.
The length of the segment HI in the figure is 32.9
How to determine the length HI?To do this, we make use of the following secant-tangent equation:
HI² = KI * JI
From the figure, we have:
KI = 21 + 24 = 45
JI = 24
So, we have:
HI² = 45 * 24
Evaluate the product
HI² = 1080
Take the square root of both sides
HI = 32.9
Hence, the length of the segment HI is 32.9
Read more about secant and tangent lines at:
https://brainly.com/question/14962681
#SPJ1
Monique goes out for coffee once per week. she has already spent $40.86 this year on her coffees and each one is $4.54.
what is the first term of the sequence?
to get to the next term, you would_____
this is a _____ sequence
there are 27 weeks left in this school year for monique. if she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
If Monique continues getting coffee at this rate then the money that she will have spent on coffee by the end of the year is $163.44.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
Tₙ = a + (n-1)d
(for all positive integer values of n)
Given Monique goes out for coffee once per week. she has already spent $40.86 this year on her coffees and each one is $4.54. Therefore, the sequence can be written as,
4.54, 9.08, 13.62, 18.16, 22.7, 27.24, .........
Therefore,
The first term of the sequence is 4.54, To get the next term you need to add 4.54. This is an arithmetic sequence.Since 9 weeks (40.86/4.54 = 9) are already over, and there are 27 more weeks, therefore, the spending till 36 weeks will be,
a₃₆ = 4.54 + (36-1)4.54
a₃₆ = 163.44
Hence, if Monique continues getting coffee at this rate then the money that she will have spent on coffee by the end of the year is $163.44.
Learn more about Arithmetic sequence:
https://brainly.com/question/3702506
#SPJ1
Cut-1 Cut-2 Number of rope cutting 1 2 3 Resulting pieces 3 5 7 1.2.1 The number of pieces of ropes for FIVE cuts. 4 S
The answer to the all parts given below.
What is sequence?A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.
For 5 cuts number of pieces will be 11 pieces.
General formula:
Tn= 2n+1
For 153 rope pieces number of rope cutting
2n+1=153
2n= 152
n= 76
For 11 cuttings rope pieces will be
2(11)+1
= 23
Learn more about his concept here:
https://brainly.com/question/872316
#SPJ1
The box-and-whisker plot represents a data set. Which statements are never true for this data set?
The statement that can never be true is the data set contains a value of 3.
What is box plot?A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.
minimum number = 8
maximum number = 22
To learn more about box plots, please check: brainly.com/question/27215146
#SPJ1
Please answer this question
Answer:
A: Isosceles B: EquilateralC: ScaleneD: Isosceles E: Isosceles F: ScaleneStep-by-step explanation:
We can classify triangles by their sides into three types:
Equilateral: It is when the triangle has all the equal sides.Isosceles: It is when the triangle has only two equal sides.Scalene: It is when none of the sides of a triangle are equal. MissSpanishThe population in the United States was roughly 161,000,000 in 1950. By 2000, it had grown to roughly 291,000,000. Assume that the population in the United States grew linearly during that period. Find a linear equation which models the population in the United States during the period 1950 to 2000
to get the equation of any straight line, we simply need two points off of it, so let's use the ones provided in the table above.
[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{millions}{population}&year\\ \cline{1-2} 161&1950\\ 291&2000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{161}~,~\stackrel{y_1}{1950})\qquad (\stackrel{x_2}{291}~,~\stackrel{y_2}{2000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2000}-\stackrel{y1}{1950}}}{\underset{run} {\underset{x_2}{291}-\underset{x_1}{161}}} \implies \cfrac{ 50 }{ 130 }\implies \cfrac{5}{13}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1950}=\stackrel{m}{\cfrac{5}{13}}(x-\stackrel{x_1}{161}) \\\\\\ y-1950=\cfrac{5}{13}x-\cfrac{805}{13}\implies y=\cfrac{5}{13}x-\cfrac{805}{13}+1950\implies y=\cfrac{5}{13}x+\cfrac{24545}{13}[/tex]
PLEASE HELP!
Martha and Emily had to sew dresses with beads. Emily had 20% more beads than Martha. Then Emily gave 25% of her beads to Martha. Now Martha has 80 beads more than Emily. How many beads did each dressmaker had at the start?
Answer:
Emily has about 73 beads and Martha has about 62
Step-by-step explanation:
E = M · 1.2
M + ( .25 · E ) = m
m = 80
Now work backwards to find the answer.
Note that to find the answer you must get rid of the variable E, so you must use the expression M · 1.2 to represent E.
M + ( .25 · M · 1.2 ) = 80
M + .3M = 80
1.3M = 80
Divide both sides by 1.3
M = 61.5
Round to the nearest one
M = 62
Now use this to find E
E = 62 · 1.2
E = 74.4
Round to nearest one
E = 73
This might be confusing but I hope it was helpful!
Also, can I get brainliest because this took a lot of work to figure out.
Consider the graph of the linear function h(x) = -x + 5. Which could you change to move the graph down 3 units?
O the value of b to -3
the value of m to -3
the value of b to 2
O the value of m to 2
Intro
Done
Answer:
the value of b to 2
The value of b changes to 2.
The correct option is C.
What is Linear Equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
We have,
Equation: h(x) = -x + 5
Now, using the slope intercept form
y = mx + b
From which we get
m = -1 and b=5
Now, we need to move the graph 3 units down then we need to subtract given function by 3, we get
y = -x+5 -3
y = -x +2.
Here y-intercept is 2.
Learn more about Linear Equation here:
https://brainly.com/question/4025726
#SPJ7
A certain population of bacteria has an initial population of 225. the bacteria triples every hour. determine the multiplier that would allow you to predict the population of bacteria after 2 hours.
Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the growth rate.In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:
[tex]y = a(3)^x[/tex]
Hence, after 2 hours:
[tex]y = a(3)^2 = 9a[/tex]
Which means that the multiplier is of 9.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Select the correct answer. in which career would you most likely apply concepts from geometry? a. food critic b. social worker c. radio dj d. computer game designer
Answer:
Computer game designer.
Step-by-step explanation:
If you want to design a game, you need to have some basic shapes and stuff in it. I'm not sure what else needs to be explained here lol
what is the answer to −1.4+(−1.2)
Answer:
-2.6
Step-by-step explanation:
-1.4+(-1.2)
-1.4-1.2=-2.6
Hope this helps!
If not, I am sorry.
In circle P, diameter QS measures 20 centimeters.
Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees.
What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.
9.9 centimeters
19.9 centimeters
21.5 centimeters
43.0 centimeter
The approximate length of arc QR to nearest tenth is 9.9cm
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
where
r is the radius of an arc = 20cm/2 = 10cm
theta = 180 - 123 = 57 degrees
Determine the length of an arc
L = 10(57π/180)
L = 57π/18
L = 9.94cm
Hence the approximate length of arc QR to nearest tenth is 9.9cm
Learn more on length of an arc here: https://brainly.com/question/2005046
#SPJ1
Answer:
9.9
Step-by-step explanation:
This set of points is on the graph of a function.
{(-3, 9), (-1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(-9, 3)
(1, − 1)
(4,2)
(0, 0)
Answer:
Points on the inverse are [tex](1,-1), (4,2), \text{and } (0,0)[/tex]
Step-by-step explanation:
When writing the inverse function of a set of points, you simply switch the coordinates:
[tex]\text{Function}: (x,y)\\\text{Inverse}: (y,x)[/tex]
We are given the points
[tex](-3,9), (-1,1), (0,0), \text{and } (2,4)[/tex]
Using our rule for function, our new points will be
[tex](9,-3), (1,-1), (0,0), \text{and } (4,2)[/tex]
From the list, the points we have for the graph of the inverse are
[tex](1,-1), (4,2), \text{and } (0,0).[/tex]
At a football game, the quarterback threw the football and the receiver caught it for a 12-yard gain. What integer represents the yards gained?
1/12
12
-12
6
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 8.8
Step-by-step explanation:
Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.
So, by the triangle proportionality theorem,
[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]
Given that 2x³-5x² - 4x+8 = (Ax - 1)(x-B)(x + 1) + C for all values of x, find the
values of A, B and C.
Answer:
A=2, B=3, C=5
Step-by-step explanation:
Two polynomials are equal for all values of the variable if the corresponding coefficients are the same. The way to solve the problem is to multiply the RHS, rewrite it in a more orderly way
[tex](Ax-1)(x-B)(x+1)+C = \\Ax^3+(A-AB-1)x^2+(B-AB-1)x +B+C[/tex]
Now, for the two polynomials to be the same we need to have, at the same time
[tex]x^3: A=2\\x^2: A-AB-1= -5\\x:B-AB-1=-4\\1: B+C=8[/tex]
You might notice that we have more conditions than variables, but you can consider one of the two in the middle as a "check" option.
Now, grabbing the value from the first condition into the second we get B=3. Replacing both value in the third we see that the equality still holds, and replacing into the fourth we get C =5.