In \triangle CDF,m\angle D=90\deg,m\angle C=29\deg△CDF,m∠D=90deg,m∠C=29deg and the length of the hypotenuse is 10 units. Using this information below, what is the length of CDCD? 5.5 units 4.8 units 8.7 units 2.9 units

Answers

Answer 1

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


Related Questions

Percentage problems with mixed number
1. What is 15 12 % of 600?

2. Find 33 1/3 % of $1200

3. Calculate 12 1/2% of 160

4. Tim paid 5 14 % interest on $1600 he
borrowed. How much did he pay in
total?

Answers

Answer:

1. 93

2.400

3. 20

4. $1684

Step-by-step explanation:

Start by a etting up an equality.

0.155/100 = x/600

Then cross multiply.

(0.155) × (600) ÷ 100 = 93

what value of x makes this equation true? 3x - 20 = -2x

Answers

Answer:

x = 4

Step-by-step explanation:

3x - 20 = -2x

Add 2x to both sides.

5x - 20 = 0

Add 20 to both sides.

5x = 20

Divide both sides by 5.

x = 4

Answer:

X = 4

Step-by-step explanation:

One of the students was removed from the survey and replaced with a different student’s data.

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

Find the scale factor of a model train if the scale is 1 inch = 4 feet.

Answers

Answer:

1

Step-by-step explanation:

The scale factor is 1:48

4 feet = 48 inches, so 1:48

beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days​

Answers

Answer:

beau completed 2/5 of his science project on Friday

beau completed 1/3 of his science project on Friday

Now

he completed during these two days=1/3+2/5=11/15 part of his project

A game of chance has a spinner with five equal sized sections. The results of 625 spins are shown below.


For which color is the experimental probability closest to the theoretical probability? Use the drop down menus to explain your answer.


(Brown,Orange,Yellow,Green,Purple) The experimental probability is (22.72%, 18.88%, 21.92%, 19.52%) and the theoretical probability is (10%, 25%, 20%)


For which color is the difference between the theoretical probability and experimental probability greatest? Use the drop down menus to explain your answer.


Brown,Green,Yellow,Orange,Purple) The experimental probability is (16.96%, 22.72, 18.88%, 21.92%) and the theoretical probability is (25%, 10%, 20%).

Answers

Answer:

https://e-eduanswers.com/mathematics/question176807332

Step-by-step explanation:

The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?

Answers

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

Find the area of the regular nonagon

Answers

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

Si los dos triángulos ABC y DFE son proporcionales, ¿Cuál será la longitud del lado DE del triángulo DFE?

Answers

Answer:

La respuesta esta abajo

Step-by-step explanation:

Un triángulo es un polígono con tres lados y tres ángulos.

Se dice que dos triángulos son proporcionales si la razón de sus lados correspondientes está en la misma proporción.

de la pregunta, el lado AB es proporcional a DF, AC es proporcional a DE y BC es proporcional a FE

Por lo tanto, dado que ambos triángulos son proporcionales, entonces:

DE / DF = AC / AB

x / 10 = 21/15

x = (21/15) * 10 = 14

Which number line shows the approximate location of the square root of 10?

Answers

Answer:

It should be somewhere near 3.16

Step-by-step explanation:

The square root of 10 simplified is around 3.16

Answer:

Estimated 3.16

Step-by-step explanation:

I'm taking the test right now. Mark brainliest if it helped.

math question 30 points if you answer

Answers

Answer:

Step-by-step explanation:

h(t) = - 16t² + 22t + 6

h = 13.5625 ft

The quadrilateral shown is a rectangle. What is measure zvw

Answers

Answer:

measure of zvm is 119°

Step-by-step explanation:

xvw+zvw=180°{straight angle}zvm=180-61=119°

stay safe healthy and happy.

The scale shown is not balanced.

Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.

HELP PLEASEEEEE

Answers

Answer:

1 (100block)

5 (10block)

3 (1block)

Step-by-step explanation:

221-68=153

1x100=100

5x10=50

3x1=3

The amount that x = 53 needs to be to balance the scale.

What is an equation?

The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.

We have an equation,

221 = x + 68

x = 221 - 68

x = 153

In 153,

1 is in place of hundred 100, 5 is in the place of 10 so, 50.

Therefore, x = 53 is the amount that needs to be to balance the scale.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Step-by-step explanation:

4) a) add up to +5x

b) multiply to -14

5) x^2 - 4x + 3 = (x - 3)(x - 1)

Type the correct answer in each box. Use numerals instead of words.
This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form?

Answers

Answer:

f(x) = 2x(x - 8)

f(x) = 2(x - 2)² - 8

Step-by-step explanation:

Let the equation of the quadratic function is,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the function.

From the graph attached,

Vertex of the parabola → (2, -8)

Therefore, equation of the function will be,

f(x) = a(x - 2)² - 8

Since, the graph passes through origin (0, 0),

f(0) = a(0 - 2)² - 8

0 = 4a - 8

a = 2

Equation of the given parabola will be,

f(x) = 2(x - 2)² - 8

      = 2(x² - 4x + 4) - 8

      = 2x² - 8x + 8 - 8

      = 2x² - 8x

      = 2x(x - 8)

Therefore, factored form of the function will be,

f(x) = 2x(x - 8)

PLEASE HELP ASAP!!!!
Complete the following chart. Describe the graph of each parabola relative to the graph
of y = x2. Indicate the number of units, where applicable. Sketch each graph.

Answers

Answer:

where is the graph lol

Step-by-step explanation:

need a graph

I need this answered quick alot of points on the line here 2 pictures down below

Answers

Answer:

1.x=10 and x=−2.

2. the answer is x=7,-1

3.=3, =1

Step-by-step explanation:

1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.

2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.

3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2

Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3

Answers

Answer:

[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]

What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?

Answers

Answer:

35.................

Obtuse can have right angles.
True or False

Answers

False. Obtuse is always greater than 90°.

Answer:

False

Obtuse triangles can't have right angles

What is the difference between 4.091 and 2.174?
A
6.265
B
2.123
с
2.117
D
1.917

Answers

Answer:

D

Step-by-step explanation:

4.091-2.174= 1.917

for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today

Answers

Answer:

WHAT!? THEY BOTH GOT BANNED?! HOW

b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).

Answers

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies

SOMEONE PLEASEEEE HELPPPP

Answers

[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]

Jordan scored 19 points during a basketball game. She made a total of 9 baskets.

If Jordan made only one-point free throws and three-point baskets, how many of each did she make?

A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets

Answers

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B

A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%

Answers

Answer: #444

Step-by-step explanation:

First find the original selling price of the article.

When sold for #372 the profit was 24%. Assume the original price is x.

372 = x + 24% * x

372 = 1.24x

x = 372 / 1.24

= #300

If he wanted to make a profit of 48% he should have sold for:

= Original price + (original price * 48%)

= 300 + (300 * 48%)

= #444

HELP ME ASAP I NEED HELP SO BAD

Answers

Answer:

x = -3

Step-by-step explanation:

5x + 4y = 1

y = 1 - x

• Substitute (1 - x) into y:

5x + 4(1 - x) = 1

• Distribute:

5x + 4 - 4x = 1

• Combine like terms:

x + 4 = 1

• Subtract the 4 to solve for x:

x = -3

Solve equation
0=-2x+4

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.

Answers

Answer:

look at the picture i sent......

solve for x. enter you answer below as a fraction ​

Answers

Answer:

x=9/80

Step-by-step explanation:

Answer:

9/80

Step-by-step explanation:

[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]

[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]

[tex]5)\ x = \frac{9}{80}[/tex]

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