Answer: 135.8
Step-by-step explanation:
the formula for this is πr²H/3
π4.4^2x6.7/3
407.5/3
135.8
What value of x is in the solution set of 2(3x - 1) > 4x - 6?
Answer:
-1
Step-by-step explanation:
Distribute
6x - 2 >= 4x - 6
2x >= -4
x >= -2
IB QUESTIONS:
The height of a vertical cliff is 450 m. The angle of elevation from a ship to
the top of the cliff is 31°. The ship is x metres from the bottom of the cliff.
a Draw a diagram to show this information.
b Calculate the value of x.
In the diagram, triangle ABC is isosceles.
AB = AC, CB = 20 cm and angle ACB is 32º.
Find a the size of angle CAB
b the length of AB
c the area of triangle ABC.
30
200
Step-by-step explanation:
Using SOHCAHTOA
[tex] \tan = \frac{opposite}{adjacent} \\ \tan {31}^{0} = \frac{450}{x} \\ \tan {31}^{0} = 0.6009 \\ 0.6009 = \frac{450}{x} \\ cross \: multiply \\ 0.6009x = 450 \\ divide \: both \: sides \: by \: 0.6009 \\ x = \frac{450}{0.6009}x \\ = 748.9[/tex]
Second Question Explanation:
a. The base angles of an isosceles triangle are equal so angle ABC is also 32°
but the sum of angles in a triangle = 180° therefore
let angle CAB be x
[tex] {32}^{0} + {32}^{0} + {x}^{0} = {180}^{0} \\ 64 + x = 180 \\ {x}^{0} = 180 - 64 \\ {x}^{0} = {116}^{0} [/tex]
b. If you share a triangle in half you get 2 right angles so I'll use SOHCAHTOA to find the length AB
First the base of the right angled triangle will be 20/2 = 10
[tex] \cos = \frac{adjacent}{hypotenuse} \\ \cos {32}^{0} = \frac{10}{ab} \\ \cos32 = 0.8480 \\ 0.8480 = \frac{10}{ab} \\ ab = \frac{10}{0.8480} \\ line \: ab = 11.8[/tex]
c. To find the are we'll need to get the height first
using the right angled triangle With base 10cm and hypotenuse 11. 8 to find the height we'll use the Pythagorean theorem
[tex] {(11.8)}^{2} = {x}^{2} + {10}^{2} \\ 1324.24 = {x}^{2} + 100 \\ {x}^{2} = 139.24 - 100 \\ {x}^{2} = 39.24 \\ \sqrt{ {x}^{2} } = \sqrt{39.24} \\ x = \sqrt{39.24 } \\ x = 6.3[/tex]
now to find the area
[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 20 \times 6.3 \\ \frac{20 \times 6.3}{2} \\ = \frac{126}{2} \\ 63 {cm}^{2} [/tex]
Write the equation and show work please
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
Over a season in a women's basketball league Jackson scored 40 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1202 points during the season. How many points did each player score over the course of the season?
Answer:
Step-by-step explanation:
x+x+40=2
+ 4 0
2x+31=1205
2x=1205-31
2x=1174
x=1174/2
x=587
leslie will hace 587 score and
jackson =587+31= 618
Write each as an algebraic expression
1) the difference of 10 and 5
3) u decreased by 17
5) x increased by 6
7) the sum of q and 8
9) twice q
11) the quotient of 18 and n
solve the system of equations -2x-y=-5 and 5x+6y=-19
Answer:
x = - 19/23
y= 6/15/23
Step-by-step explanation:
See the image I have shared for workings.
The total cost T varies directly with the number of kilograms A of apples purchased. Apples cost $1.15 per kilogram. Th
True
False
The total cost T varies directly with the number of kilograms A of apples purchased. Apples cost $1.15 per kilogram.
True
False☑️Help me if you don't know, don't touch it
9514 1404 393
Answer:
(a) 628 cm³
Step-by-step explanation:
Put the given numbers into the formula and do the arithmetic.
V = πr²h
V = (3.14)(5 cm)²(8 cm) = 628 cm³
What is the area of the parallelogram shown? 8 and 12
Answer:
96
Step-by-step explanation:
A=bh=8·12=
NEXT TIME SHOW THE PICTURE BUT YOU GOOD FOR RN.
On a piece of paper graph y ≥2x
Answer:
Step-by-step explanation:
Find the whole if 2.5% of n is 0.01.
Answer:
[tex]2.5\% \: of \: n = 0.01 \\ \frac{2.5}{100} \times n = 0.01 \\ 2.5n = 1 \\ n = 0.4[/tex]
A. -2/9
B. -1/3
C. 1/3
D. 2/9
Answer:
C. 1/3
Hope this helps!:)
Answer:
1/3
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
f(x) = -2/9x + 1/3
The slope is -2/9 and the y intercept is 1/3
can someone help me thanks
Let x be the length of the third side.
Thus:
[tex]\mathsf{25^2=17^2+x^2}\\\\\mathsf{625=289+x^2}\\\\\mathsf{x^2=625-289}\\\\\mathsf{x^2=336}\\\\\mathsf{x=\sqrt{336}}\\\\\boxed{\mathsf{x=4\sqrt{21}}}[/tex]
0
The circumference of a circle is 9.22cm
Find the length of the diameter.
Give your answer rounded to 2 DP.
de
cm
Answer:
Step-by-step explanation:
circumference of a circle = 2πr
9.22 cm = 2*3.14*r
9.22 cm = 6.28*r
9.22 cm /6.28 = r
1.4681 = r
diameter of a circle = 2*r
=2*1.4681
=2.9362
=2.9 cm
Answer:
The Length of diameter of circle is 2.93cm.
Step-by-step explanation:
Given :-Circumference of circle = 9.22 cmTo Find : -Length of diameter, dFormula Used :-Circumference of circle = π × dwhere , d is the length of diameterSolution:-Using formula
Circumference of circle = π × d
substitute the values
9.22 cm = π × d
Using value of π = 3.14
9.22 cm = 3.14 × d
divide each side by 3.14
9.22 cm / 3.14 = 3.14 × d /3.14
2.93 cm = d
Hence, The Length of diameter of circle is 2.93cm.
need answer please !!!!!
Answer: -9
Step-by-step explanation:
f(x)=-5x-4
f(1)=-5(1)-4
=-5-4
f(1) =-9
Can someone help me with this ? Its due soon and I dont wanna fail ! Options are >, <, >=, =
9514 1404 393
Answer:
1, 3, 5, 10
r > 0
Step-by-step explanation:
The equivalent inequality is found by dividing both sides by 5:
(5r)/5 > 0/5
r > 0 . . . . . . . . . simplify
Then you can easily see that values of r greater than 0 will satisfy the inequality:
r may be any of 1, 3, 5, 10
After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.
Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?
Solution :
Given :
Equation :
y = 6.3333 x + 53.0298
Here, x = number of hours studied
y = the exam score
a). To predict the exam score, we have to replace x in the least square regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (2) + 53.0298
= 65.6964
Thus he predicted exam score is 65.6964
b). The slope is the co-efficient of x in the least squares regression line :
Slope = 6.3333
The slope represents the average increase in y as x increases by 1.
The exam score increases on average by 6.3333 points per hour studied.
c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :
y = 6.3333 x + 53.0298
y = 6.3333 (0) + 53.0298
= 53.0298
d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (5) + 53.0298
y = 84.6963
Thus the average exam score of a student who studied 5 hours is 84.6963
Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.
Let's call a song danceable if it has a danceability of at least 0.7. What is the probability that an individual song has a danceability of at least 0.7
Answer:
32.54%
Step-by-step explanation:
To determine the probability that an individual song has a danceability of at least 0.7
Applying the excel formula below
=COUNTIF ( I2:I4771,">0.7") / ROWS( I2:I4771)
Hence ; The probability of an individual song having a danceability of at least 0.7 = 32,54%
Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years. Suppose also that exactly 20% of the tubes die before 4 years. Find the mean lifetime of TV tubes. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
What is 1/5 + 7/8 PLS HELP ME if you help me I’ll give you 20 points!
Answer:
1.075 or 43/40
Step-by-step explanation:
Answer:
1 3/40
Step-by-step explanation:
The following table shows the number of classes that each teacher in the math department at Wilburton High School teaches. Find the median number of classes.
Answer:
4 classes
Step-by-step explanation:
4+3+5+9+3+4=28
28/6=4.6
What is the equation of the circle?
help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)
Answer:
[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]
Step-by-step explanation:
[tex](-6p^{3} )(3p^2+5p-1)[/tex]
[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]
[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]
hope this helps.....
SOMEONE HELP ME PLEASE
Answer:
.12
Step-by-step explanation:
set up two ratios the same way [tex]\frac{x}{y}[/tex]
[tex]\frac{4.8}{.09}[/tex] = [tex]\frac{6.4}{y}[/tex]
cross multiply and solve for y
4.8(y) = .09(6.4)
4.8y = .576
y = .12
Which values of xwould make a polynomial equal to zero if the factors of the
polynomial were (x+6) and (x+9)?
A. 6 and -9
B. -6 and 9
C. -6 and -9
D. 6 and 9
9514 1404 393
Answer:
C. -6 and -9
Step-by-step explanation:
For the polynomial to be zero, one or more of the factors must be zero. For the factors to be zero, we require ...
x +6 = 0
x = -6 . . . . . . subtract 6 from both sides of the equation
and likewise, ...
x +9 = 0
x = -9 . . . . . . subtract 9 from both sides of the equation
x = -6 or -9 will make the polynomial zero.
A health care organization, StarCare, wants to implement a program to increase use of diabetes care services. In the past StarCare has billed insurance companies $350 per group session on cardiac care, a similar service, and thus plans to bill $350 for the diabetes group sessions. Operational expenses for the diabetes care services will be $1,000. Because StarCare is concerned with quality of services, it plans to have a consistent group size of 20 participants. However, the number of group facilitators will vary based on the number of diabetes care group participants. For every participant, it costs StarCare $300 in facilitator salary and other expenses. StarCare will only do one session if it is profitable. Based on this information, what are the (a) fixed costs for the proposed diabetes care program and the (b) the total variable costs for 20 participants?
Answer:
a) The fixed cost is $1350.
b) Total variable cost is $6000.
Step-by-step explanation:
a) The fixed cost = Operational cost + Insurance company bill.
= $ 1000 + 350 = $1350.
b) Variable cost:-
The number of facilitators = 20.
The salary for each facilitator = $300.
Total variable cost = $300 x 20 = $6000.
Jackson is making brownies. He uses the following ingredients.
Ingredients Amount for 1
Batch of Brownies
Flour 3 cups
Sugar 2 cups
Butter 1/3 cup
Cocoa Powder 1/4 cup
Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?
Part A
Which equation can you use to solve the problem?
A. 1 ÷ 3 = 3
B. 1 ÷ 1/3 = 3
C. 1 × 1/3 = 1/3
D. 1 + 1/3 = 1/3
Part B
Jackson used all the butter to make the brownies.
If each brownie is 1/9 of a batch, how many brownies did he make?
Enter your answer in the box.
brownies
Answer:
Part A = B. 1 ÷ 1/3 = 3
Part B = 27 brownies
Step-by-step explanation:
Part A
From the ingredients given in above question:
1/3 cup of butter = 1 batch of brownies
Hence: 1 cup of butter = x
Cross Multiply
1/3 cup of butter × x = 1 cup of butter × 1 batch of brownies
x = 1 cup of butter × 1 batch of brownies/1/3 cup of butter
x = 1 batch of brownies ÷ 1/3
x = 1 batch of brownies × 3/1
x = 3 batches of brownies
Hence, the number brownies Jackson can make with 1 cup of butter Is 3 batches of brownies
Therefore, the equation you can use to solve the problem is Option B. 1 ÷ 1/3 = 3
Part B
If each brownie is 1/9 of a batch, how many brownies did he make?
We know from Part A that Jackson made 3 batches of brownies hence:
1/9 of a batch of brownies = 1 brownie
3 batches of brownies = x
Cross Multiply
1/9 of a batch of brownies × x = 1 brownie × 3 batches of brownies
x = 1 brownie × 3 batches of brownies/ 1/9 of a batch of brownies
x =( 3 ÷ 1/9) brownies
x = ( 3 × 9/1) brownies
x = 27 brownies
Therefore, the number of brownies he made was 27 brownies.
a salesperson earns 5.5% commission on $21000 with a retainer of $23. what is the total earned?
Answer: 1178
Step-by-step explanation:
You can make 5.5% 0.055
Multiply 0.055 by $21000
0.055 x $21000 = 1155
Then you have to add 23
1155+23=1178
Convert 3x−5y=15 into slope intercept form.
Answer:
Step-by-step explanation:
A complex excavation has a depth of 6 inches and can be broken into three shapes with areas of 100, 226, and 300 square feet. The total volume of the excavation is
Answer:
Step-by-step explanation:
What are the units of the shapes? I will assume inches, but if that is not so leave a note.
Begin by adding the surface area of the 3 shapes.
V = 6*(100 + 226 + 300)
Now add them before multiplying by 6
V = 6* ( 626)
Multiply by 6
V = 3756 cubic inches.
Answer:
V = 3756 units^3
Step-by-step explanation:
Area 1 is 100units^2 multiply by 6
= 100 x 6 is 600units^3
Area 2 is 226units^2 think 5 x 225 = 1125 + 225 + 6
= 226 x 6 = 1356units^2
Area 3 is 300
= 300 x 6 = 1800 think 3x6x100
Total volume is 600+1356+1800 = 3756 units^3