Answer:
8 units
Step-by-step explanation:
Given
Hypotenuse CF = 10
m<C = 29degrees
m<D = 90degrees
m<F = 180 - (29+90)
m<F = 180 - 119
m<F = 61degrees
Since the side facing <F is CD, then;
Opposite = CD
using the SOH CAH TOA identity
sin 61 = opp/hyp
sin61 = CD/10
CD = 10sin61
CD = 10(0.8746)
CD = 8.746
Hence the length of CD is 8 units
Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.
How many more 10th graders than 9th graders were interviewed?
A 36
B 80
C 12
D 200
Answer:
A. 36
Step-by-step explanation:
We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given
176 - 140 = 36
This is how we came to the answer:
We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.
While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny
Oliver's Interviewees
10-graders
Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
70% of 176 =
Cross multiply
123.2 were 10-graders interviewed by Oliver
9th-graders
Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;
30% of 176 =
Cross multiply
52.8 were 9th-graders interviewed by Oliver
Jenny's Interviewees
9th-graders
Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;
75% of 140 =
Cross multiply
105 students were 9th-graders interviewed by Jenney.
10th-graders
Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;
25% of 140 =
Cross multiply
35 students were 10th-graders interviewed by Jenney.
Total calculation
Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;
Oliver's 9th-grade = 52.8
Jenny's 9th-grade = 105
105 + 52.8 = 157.8
Oliver's 10th-grade = 123.2
Jenny's 10th-grade = 35
123.2 + 35 = 158.2
Total calculation: 158. 2 - 157.8 = 0.4
Therefore, there are 36 more 10th than 9th.
For more information, visit: brainly.com/question/23490909
graph a
graph b
graph c
Answer:
c the graph c is the answer
15 x b = 60 explanation
Answer:
x = 4
( if you need a better explanation ask me and i'll give you a different one) :)
Step-by-step explanation:
15 x b = 60
15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other
x=4
Which inequality is equivalent to −<7 - y < 7 ?
Answer: you didn't provide anything for us to answer
Step-by-step explanation:
Solve for x in the diagram below.
Answer:
x = 9
Step-by-step explanation:
The parallel lines divide the sides of the triangle in proportion, that is
[tex]\frac{20-8}{x}[/tex] = [tex]\frac{8}{6}[/tex]
[tex]\frac{12}{x}[/tex] = [tex]\frac{8}{6}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
Distribute 10 (1 + 8x2).
Answer:
170
Step-by-step explanation:
8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS
please help me with it and dont just put random letters cause i dont know why u do it its not like u can buy a house with these points lol
Answer:
v=432cm
sA=144cm
Step-by-step explanation:
1)))
v=w*d*h
v=3*9*16
v=432cm
2)))
sA=h*w
sA=16*9
sA=144cm
Answer:
V = 432 cm^3
SA = 438 cm^2
Step-by-step explanation:
The volume of a rectangular prism is represented by the formula:
V = lwh
Where V is the volume, l is the length, w is the width, and h is the height.
You can substitute the values given:
V = 3 * 9 * 16
V = 432 cm^3
The surface area of a rectangular prism can represented by the formula:
SA = 2(lw + wh + lh)
Where SA is the surface area, l is the length, w is the width, and h is the height. You can substitute the given values:
SA = 2(3 * 9 + 3 * 16 + 9 * 16)
SA = 2(27 + 48 + 144)
SA = 2(219)
SA = 438 cm^2
100 POINTS!!!!!!
which concept best identifies american attitudes about world war 1 when the war began in europe
A isolation
B imperialism
C militarism
D nationalism
Isolationism is what identified America in that moment.
Hope this helps!
Have a fabulous day!
1. Round 9.39 to the nearest whole number
2. what is the value of the expression 4^3+9 times 6
Answer:
Step-by-step explanation:
1. The digits 39 are less than 50. Round 9.39 to 9 (nearest whole number).
2. 4^3+9 times 6 This is an order-of-operations problem. We must do exponentiation before multiplication and division, and addition and subtraction must follow multiplication and division.
4^3 = 64, so we have 64 + 9(6).
Must do multiplication before addition: 64 + 54 = 118
Enter the volume in cubic inches of the can round your anwser to the nearest hundredth
Answer:
87.92in³
Step-by-step explanation:
Volume of cylinder formula:
[tex]V = \pi r^{2} h[/tex]
Plug in the values using 3.14 for pi:
V = 3.14(2)^2(7)
V = 87.92in³
A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 per chick. Find profit or loss percentage.
Answer: 6.25%
Step-by-step explanation:
50 chicks were purchased at Rs. 60. The total cost of the chicks is:
= 50 * 60
= Rs. 3,000
10 of the chicks died which means the farmer was left with 40 chicks.
These chicks are sold at Rs. 80. Total revenue from the sales are:
= 40 chicks * 80
= Rs. 3,200
The profit is:
= 3,200 - 3,000
= Rs. 200
The percentage is:
= Profit / Revenue
= 200 / 3,200
= 6.25%
Find two values for k such that the trinomial x2 – 7x + k can be factored over the integers. Explain your reasoning.
Answer:
1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]
Step-by-step explanation:
The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:
[tex]a + b = 7[/tex] (1)
[tex]a\cdot b = k[/tex] (2)
By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:
1) [tex]a = 1[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 6[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (6)\cdot (1)[/tex]
[tex]k = 6[/tex]
2) [tex]a = 3[/tex]
[tex]b = 7 - a[/tex]
[tex]b = 4[/tex]
[tex]a\cdot b = k[/tex]
[tex]k = (3)\cdot (4)[/tex]
[tex]k = 12[/tex]
The data set shows the ages of everyone in a dance class.
5, 24, 24, 24, 24, 24, 24, 25, 25
Select the statement that correctly describes the data.
A. The typical value is 5 because it is the minimum.
B. The typical value is 9 because that is the total number of people.
C. The typical value is 24. Most values are close to 24, except 5, which is an extreme value.
D. The typical value is 25 because it is the maximum.
C because the most shown value is 24
Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales. Select all the equivalent expressions for Tina’s total sales at the fair
7k + 4k + 4
7k + 4k + 4
11k + 16
11k + 16
7k + 4k + 16
7k + 4k + 16
8k + 16
8k + 16
11k + 4
Answer: 11k + 16 and 7k + 4k + 16
Step-by-step explanation: if we distribute the 4 first we get
7k+4k+16
we can aslo combine the k's to get
11k+16
hope this is helpful (^_^)
if a dog weighs 55 pounds how many kilograms would it weigh
Answer:
24.9475803
Step-by-step explanation:
If a cylinder has a height of 7 m and its base has a radius of 6 m, what is its volume? Use 3.14 for 5 and
round the answer to the nearest whole number.
O 490 m3
791 m3
923 m3
1,583 m3
Answer:
Step-by-step explanation:
Here is a list of ages (years) of children in a room:
3, 3, 4, 4, 7, 5, 9
State the median.
in the adjoining figure ABC is right angled and triangle and B C D E is a rectangle .if ed= 24 cm then a triangle ∆ABC= 45 cm and BC = 7 cm find the length of ad
Answer:
Step-by-step explanation:
2
A coin is tossed 116 times. Heads appears 29 times. What is the experimental probability of getting heads?
Btw 40 pts for this :NOT A SCAM
Answer: 29/116
Step-by-step explanation:
Find the area of the figure
Answer: 1920 i think
Step-by-step explanation:
which Is the correct answer? ( links = report )
Answer: B
Step-by-step explanation: Hope this help :D
Hexagon
apothem = 15
side = 17.3
Find the area of this regular polygon. (Round to one decimal spot if necessary)
Answer:
778.5
Step-by-step explanation:
Area of any regular polygon = ( apothem * side length * number of sides ) divided by 2
Given information:
Apothem = 15
Side length = 17.3
Polygon Type = Hexagon ( its important to note that a hexagon has 6 sides )
* Plug in the given values into the formula *
Area = [tex]\frac{15*17.3*6}{2}[/tex]
15 * 17 = 259.5
259.5*6=1557
[tex]\frac{1557}{2} =778.5[/tex]
Hence, area = 778.5 square units
Answer:
778.5
Step-by-step explanation:
Right triangle ABC is shown. Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Question:
Obtian the equation that can be used to solve for c
Answer:
Sin50 = 3/c
Step-by-step explanation:
A triangle showing the information given has been attached below for clarity :
Using trigonometry :
AC = 3 = opposite side of angle 50°
AB = c = hypotenus
Using the sine relation of a right angled triangle :
Sin θ = opposite / hypotenus
θ = 50°
Sin 50° = 3 / c
Sin50 = 3/c
Can someone help me pla
Which of the following represents an equation? *
a. 3x + 13 - 5
b. 3 + 11 = 14
c. x + 14
d. x/5 - 2
PLEASE HELP!!!!!!! NO LINKS I will report links
Answer:
Not sure but I think
Surface area = 46
Volume = 4 2/3
solve for the value of c
Answer:
C = 11
Step-by-step explanation:
90 - ( 8 + -6 ) = 88
88 / 8 = 11
:)
Could I get help as soon as possible?
Answer:
(0, 0)
Step-by-step explanation:
It's 0 minutes since the bath begun, the depth of the water is 0 inches. I know I already answer this, but just in case.
The bearing of ships A and B from a port are 225degree and 116 degree respectively ship A is 3.9km from ship B on a bearing of 258 degree calculate the distance of ship A from Port p
Answer:
Distance of A from P = 2.55 Kilometers
Step-by-step explanation:
Find the attached solution
Jada saw a music video that her favorite artist recently posted online. The equation v(t)=320⋅4t represents the number of views v of the video, t days since Jada saw the video.
Part A: Find v(−2).
Answer:
v(-2) = 20
Step-by-step explanation:
The number of viewers, in t days after Jada saw the video, is given by:
[tex]v(t) = 320*(4)^{t}[/tex]
Find v(−2).
This is v when [tex]t = -2[/tex]. So
[tex]v(-2) = 320*(4)^{-2} = \frac{320}{4^2} = \frac{320}{16} = 20[/tex]
So
v(-2) = 20