The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation?
Answer:
there's not options :/ nobody can answer this
At the end of her work day at the Ferguson Corporation, Sarah usually
walks to the subway station to travel home. Today, she is walking to the
Springdale Town Center first to take care of some errands. She will then
continue walking to the subway station to travel home. The map of these
routes is shown below.
2000 feet
Subway
Ferguson
Corporation
Station
Springdale
Town Center
If Sarah walks to the Springdale Town Center from the Ferguson
Corporation and then to the Subway Station, how much farther will she
walk than if she walks directly to the Subway Station from the Ferguson
Corporation? Show all of your work.
Answer:
1263.7032 feets
Step-by-step explanation:
Distance from Ferguson corporation to Springdale Town center ; let the distance = x
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 27 = x / 2000
0.5095254 * 2000 = x
1019.0508 feets
Distance from Springdale to Subway station, this is the hypotenuse :
Hypotenuse = √(1019.0508² + 2000²)
Hypotenuse = √5038464.7
Hypotenuse = 2244.6524 feets
Total distance walked from Ferguson to Springdale, then to Subway ;
(1019.0508 + 2244.6524) feets = 3263.7032 feets
Additional distance walked :
(3263.7032 feets - 2000 feets) = 1263.7032
In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:
[tex]H=1263.7032 feets[/tex]
We can use the definition of tangent to calculate:
[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]
Now using the Pythagorean theorem we have:
[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]
See more about triangles at brainly.com/question/2269348
find YZ pls fast correct
Answer:
44Step-by-step explanation:
According to intersecting chords theorem:
21(2x - 6) = 30(x + 1)42x - 126 = 30x + 3042x - 30x = 126 + 3012x = 156x = 156/12x = 13Find the value of YZ:
YZ = 30 + 13 + 1 = 44[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21(2x - 6) = 30(x + 1)}[/tex]
[tex]\large\textsf{21(2x) + 21(-6) = 30(x) + 30(1)}[/tex]
[tex]\large\textsf{21(2x) = 42x}[/tex]
[tex]\large\textsf{21(-6) = -126}[/tex]
[tex]\large\textsf{30(x) = 30x}[/tex]
[tex]\large\textsf{30(1) = 30}[/tex]
[tex]\large\textsf{42x - 126 = 30x + 30}[/tex]
[tex]\large\text{Put ALL your LIKE TERMS TOGETHER}[/tex]
[tex]\large\text{NEW EQUATION: \textsf {42x - 30x = 126 + 30}}[/tex]
[tex]\large\textsf{42x - 30x = 12x}[/tex]
[tex]\large\textsf{126 + 30 = 156}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{12x = 156}}[/tex]
[tex]\large\text{DIVIDE 12 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{12x}{12}=\dfrac{156}{12}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{12}{12}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{156}{12}}\large\text{ because that helps you solve for your the given equation} \\\\\large\text{and your YZ result}[/tex]
[tex]\mathsf{\dfrac{156}{12}=\bf 13}[/tex]
[tex]\large\text{NEW and FINAL EQUATION: \textsf{30 + 1 + 13}}[/tex]
[tex]\large\textsf{30 + 1 + 13}[/tex]
[tex]\large\textsf{30 + 1 = \bf 31}[/tex]
[tex]\large\textsf{= 31 + 13}[/tex]
[tex]\large\textsf{= \bf 44}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf YZ = 44 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
The cost of a t-shirt is £3 and the cost of a hat is £2.
What is a linear equation?
When an equation contains one or more variables with exponents as 1 then such equations are linear equations.
For example, 3x+2y=9 and 4y=6. The first equation is a linear equation with two variables and the second equation is with the linear equation in one variable.
Let the cost of a t-shirt is £m and the cost of a hat is £n.
Formulate two linear equations using the given statements in the question.
[tex]2m+3n=12\,\,\, ...(1)\\5m+4n=23\,\,\, ...(2)[/tex]
Obtain the value of m from equation (1).
[tex]2m=12-3n\\m=\frac{12-3n}{2}[/tex]
Substitute the obtained value of m into equation (1) and find n.
[tex]5 \times(\frac{12-3n}{2})+4n=23\\ 60-15n+8n=46\\14=7n\\n=2[/tex]
Substitute the value of n into [tex]m=\frac{12-3n}{2}[/tex]and obtain the value of m.
[tex]m=\frac{12-3(2)}{2}\\=\frac{12-6}{2}\\ =\frac{6}{2}\\ =3[/tex]
Thus, the cost of a t-shirt is £3 and the cost of a hat is £2.
Learn more about linear equations at https://brainly.com/question/11897796
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Find the area of the figure.
14 m
5 m
16 m
Answer:
Step-by-step explanation:
Seperate the shape into two. 16x2=32cm². 12x11=132cm²
So altogether it would = 164cm²
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
Select the correct text In the passage. Which lines best demonstrate falling action in the passage?
Steven and James emerged from the trees and walked along a sloping open area to the river. The rippling river sparkled like diamonds in the sun, and the boys couldn't resist the urge to stop and soak up the scenery. They watched as tiny Insects danced a ballet across the water. As they rested their feet, both boys gazed north toward the unpredictable volcano il cd become so familiar with. It was magnificent, even with the usual cloud of steam rising above it. As they watched, though, they notice ething around them was changing. The cloud on the volcano's peak suddenly grew larger, and the ground began to shake beneath .. James said, "I wonder-" He didn't have time to finish the rest of his sentence. As they looked on in stunned silence, the top of Big White Peak suddenly exploded and erupted. For a split second, everything was soundless. Steven and James stared, mesmerized by a huge, dark cloud streaked with blue and orange flashes. Then, as the roar of the sound reached them, both boys jumped up and began to sprint back to their car. They scrambled up the rugged hillside, tripping over rocks and branches without stopping. "Look!" shouted James, looking over his shoulder as he ran. The cloud was growing larger, and it seemed to be coming toward them with a tremendous amount of speed. Steven didn't think they needed to be concerned about the cloud itself because the wind was blowing in the opposite direction and they were quite far from the crater. What he was worried ībout most , however, was that they might be caught in a flood. He hoped they could get away before the snow and ice from the Big White Peak melted in the heat of the eruption. The boys ran over the rugged terrain, glancing back nervously on the way to the car. As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray. Still numb with shock, they turned out of the park and onto the highway toward home.
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain. In a matter of minutes, the grass and flowers were gone and the sparkling river had turned gray.
Step-by-step explanation:
Answer:
As they drove away, heading for safety, they watched in amazement as a great wall of water carrying mud, rocks, and trees crashed down the mountain.
Step-by-step explanation:
Please Help!! Thanks in advance!
Given:
The equation is:
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
To find:
The value of y.
Solution:
We have,
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
On cross multiplication, we get
[tex]y(p+q)=y(p-q)[/tex]
[tex]yp+yq=yp-yq[/tex]
[tex]yp+yq-yp+yq=0[/tex]
[tex]2yq=0[/tex]
Dividing both sides by 2q, we get
[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]
[tex]y=0[/tex]
Therefore, the correct option is A.
9/11÷5/6 divide the following . simply your answer
please help me
(9/11)÷(5/6)
= 9/11×6/5
= 54/55
ASAP
(AND HOW DID YOU GET THE ANSWER)
- Will mark brianist
its c
Step-by-step explanation:
Answer:
A) The mean would increase
Step-by-step explanation:
x + 2y = 10
x + 3y = 15
Find the area please :)
Answer:
it's area is 1/2 b×h
1/2×7×3.8
13.3
Answer:
13.3 ft^2
Step-by-step explanation:
area = base x h / 2
A = 7 x 3.8 / 2
A = 26.6 / 2
A = 13.3 ft^2
look at the screenshot pls help
Answer:
A = 6
B = 5.5
Step-by-step explanation:
16/8 = 2 so just multiply by 2 for 3, and divide by 2 for 11
yes
Step-by-step explanation:
Urgent!!
According to the graph, what is the factorization of x2 - 5x + 6?
y=x2.5x+6
A. (x - 3)(x + 2)
B. (x+3)(x - 2)
C. (x - 3)(x - 2)
D. (x+3)(x + 2)
Answer:
If you still need the answer it’s c
Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,
The factorization is the form
(x-a) (x-b) where a and b are the zeros
(x-3) (x-2)
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?
Answer:
Deserea ate more
Step-by-step explanation:
One dozen equals 12
Carla ate 1/4 of it
1/4×12/1=3
Carla ate 3 cookies
Deserea ate 1/2
1/2×12/1=6
Deserea ate 6
6 is greater than 3 so Deserea ate more
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Choose all the expressions that can represent the situation.
A. 6 - 8
B. -8 - 6
C. -8 + 6
D. 6 - (-8)
E. -8 + (-6)
Answer:
-8-6
-8+6
6-(-8)
Step-by-step explanation:
1244566789765432 x 23
whats the asnwer
Answer:
2.8 and a lot more number after that
Answer:
bro you need to look harder if its not on the internet then its nowhere
Step-by-step explanation:
PLEASE HELP
the balance on an 8 year loan is 9,768. if the simple interest rate is 4% what did the principal borrow
Answer:
Step-by-step explanation:
what
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
David performed the following mathematical operation:
x+5
+9x-5
2x-
:-1)2x² +9
He was left with a remainder of zero. Which of the following statements must
be true?
A.
must be a root of the polynomial 2x² +9x-5.
o
B. O must be a root of the polynomial 2x² +9x-5.
O c.
must be a root of the polynomial 2x² +9x-5.
D. 5 must be a root of the polynomial 2x² + 9x-5.
Answer: C: x = 1/2
Step-by-step explanation:
The solution is , O c. 1/2 must be a root of the polynomial 2x² +9x-5.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here we have this:
Considering the provided mathematical operation, we are going to identify wich is the correct statement, so we obtain the following:
Since the remainder is zero, it means that setting the divisor and quotient equal to zero gives us the roots, then we have:
2x-1=0
2x=1
x=1/2
and, we have,
x+5=0
x=-5
Finally we obtain that the roots are 1/2 and -5, then the correct answer is the option C.
Hence, The solution is , O c. 1/2 must be a root of the polynomial
2x² +9x-5.
Know more about Polynomials here:
brainly.com/question/2833285
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Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation
Answer:
I can’t see the picture
Step-by-step explanation:
Last year a student correctly answered 4/5 of the total 40 questions given.What percent of the total questions she correctly answered?
Solve the system by eliminating one of the variables by addition or subtraction
2x-y=4
3x+y=6
Answer:
(2,0)
Step-by-step explanation:
2x-y=4 equation 1
3x+y=6 equation 2
5x=10 eliminate y by adding equations
x=2
solve for y
2x-y=4
2(2)-y=4
4-y=4
-y=0
y=0
check answer:
3x+y=6
3(2)+0=6
6=6
Please someone help me!!!!:)
Answer:
275.4cm
Step-by-step explanation:
A = pi*r^2
r = 9
A = 3.14 * 9^2
A = 3.14 * 81
A = 275.4
Hope this helps!
6.) Evaluate the expressions below for the given values.
a. 2x + (x – 6) for x = 14
b. n 2+ n + 1 for n = 8
c. (r – 10)(r + 2) for r = 13
20 POINTSS
Answer:
Answer below. Hope it helps.
Step-by-step explanation:
a. 2x + (x - 6) {x = 14}
= 2*14 + (14 - 6)
= 28 + 8
= 36
b. n² + n + 1 {n = 8}
= 8² + 8 + 1
= 64 + 9
= 73
c. (r - 10) (r + 2) {r = 13}
= (13 - 10) (13 + 2)
= 3 * 15
= 45
Which expression is equivalent to csc x – sin x?
a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x
Answer:
a edge 2021
Step-by-step explanation:
For the triangle above, write the correct part of the triangle (opposite, adjacent, otr hypotenuse)
For the triangle above, write the trigonometric ratio for each function. (Use “/” for fraction bar)
Will give brainliest
Answer:
this is the answer please give brainliest
hey what's the answer ?
[tex] \sqrt{56 + ( - 7)} [/tex]
(╯︵╰)
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]
[tex] \sqrt{56 + ( - 7)} [/tex]
[tex] \sqrt{49} [/tex]
[tex] \sqrt{7²} [/tex]=±7
is your answer