9. In a rhombus whose side measures 34 and the smaller angle is 42°. Find the length of the larger diagonal, to the nearest tenth.

Answers

Answer 1

Answer:

63.5

Step-by-step explanation:

The diagonals of a rhombus bisect opposite angles.

The longer diagonal bisects the 42° angle

The larger angle of the rhombus is 180 - 42 = 138

Let x = the length of the longer diagonal

You know two sides and the included angle of a triangle.

Using the law of cosines we get

[tex]x^{2} = 34^{2} + 34^{2} -2(34)(34) cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.150837...\\x = \sqrt{4030.150837} = 63.48[/tex][tex]x^{2} = 34^{2} + 34^{2} -2(34)(34)cos 138\\ = 1156 + 1156 - 2312 cos 138\\ = 4030.1508...\\ x = \sqrt{4030.1508} \\ = 63.48[/tex]x^2 = 34^2 + 34^2 - 2(34)(34) cos 138

      = 1156 + 1156 - 2312 c0s 138

      = 4030.1508...

x = sq rt 4030.1508...

  =  63.5


Related Questions

helllpplll pleaseeeeee ​

Answers

Answer:

Step-by-step explanation:

area of bottom of round pan = πr² = 9π in² ≅ 28.27 in²

area of bottom of rectangular pan = 10×2 = 20 in²

area of bottom of round pan is greater than area of bottom of rectangular pan by about 8.27 in²

2/3 x 6 + 2/3 x 1
2/3 is a fraction

Answers

Answer:

5 and 1/9

Step-by-step explanation:

(2/3 × 6) + (2/3 × 1 and 2/3)

4 + 1 and 1/9 = 5 and 1/9

The images show further explanation:

A Toblerone candy bar is in the shape of a triangular prism. The area of the base is 3 in 2and the height of the prism is 5 in. What is the volume of the candy bar?

Answers

Answer:

15 in³

Step-by-step explanation:

Volume of the prism:

V = Bh, where B- area of base, h- height

Given:

B = 3 in²h = 5 in

Volume is:

V = 3*5 = 15 in³

Volume

Area of base ×Height3(5)15in³

You are taking a date to dinner and plan to pay for both meals, but you only have $32. If you plan
to leave a 20% tip, how much can you spend on the meals at most?
- need how to solve it
- need the final answer for this question

Answers

Answer:

$23.6

Step-by-step explanation:

What is the solution to the equation y/y-4 -4/y+4=32/y2-16?

Answers

Answer:

No solution

Step-by-step explanation:

For the equation given, we have an alternate form that is

[tex]\dfrac{y^2 + 16}{y^2-16} =\dfrac{32}{y^2-16}[/tex]

It is clear that

[tex]y^2+16 = 32 \implies y=4, y=-4[/tex]

But the denominator goes to zero and it is undefined.

If you take

[tex]$\lim _{y\to 4}\left(\dfrac{y^2+16}{y^2-16}\right)$[/tex]

you'll see that

[tex]$\lim _{y\to 4^-}\left(\dfrac{y^2+16}{y^2-16}\right) = -\infty$[/tex]

[tex]$\lim _{y\to 4^+}\left(\dfrac{y^2+16}{y^2-16}\right) =\infty$[/tex]

It diverges and the limit does not exist.

What is the value of 4)1/8 divided by 5)1/2

Answers

Answer:

I'm assuming that you meant to type: The question is x/5=1/2+1/8 ; X= ?

If so, we're solving for x.

x/5 = 1/2 + 1/8

2 is a factor of 8, so let's start with common denominators.

x/5 = 1/2 *(4/4) + 1/8

x/5 = 4/8 + 1/8

x/5 = 5/8 As long as we just need to know the value of x, let's use inverse operations.

x/5 *5 = 5/8 *5

x = 25/8 or 3.125

Is Figure B a scale copy of Figure A?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~A: Yes

B: No

Answers

Answer:

A

Step-by-step explanation:

Si not send links please. Just need the answer. Thank you

Answers

Answer:

the answer is 8

NEED AN ANSWER ASAP!!! WILL REWARD HANDSOMELY!!!


Felicia has a ladder that is 11 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 9.5 ft above the ground. For safety reasons, she wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show all your work and draw a diagram to support your answer.

Answers

Answer:

See attached diagram

We have

GT = 9.5 ftBT = 11 ft

Let's find angle x and compare with the safety requirement

GT/BT = sin x9.5/11 = sin xx = arcsin (9.5/11)x = 59.7° < 75°

The angle we got is less than 75° so it is safe to use

Rewrite each subtraction equation as an addition equation.
p - 20 = - 30

Answers

Answer:

p + 30 = 20

Step-by-step explanation:

we can add 30 to both sides to make this an addition equation:

p - 20 = -30 (now add 30 to both sides)

p - 20 + 30 = 0 (then, add 20 to both sides)

p + 30 = 20 (this would be the addition equation)

Fill in the blanks: for a and b

Answers

Answer: b for a sorry that’s all I Could understand

Step-by-step explanation:

explain how to solve. g ÷ 4 = 24​

Answers

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]g/4 = 24 // - 24\\g/4-24 = 0\\1/4*g-24 = 0 // + 24\\1/4*g = 24 // : 1/4\\\g = 24/1/4\\g = 96\\g = 96[/tex]

[tex]- Yaoii[/tex]

Answer:

g = 96

Step-by-step explanation:

Rewrite : g ÷ 4 = 24

Write the division as a fraction : 1/4g = 24

Multiply both sides : 1/4g = 24

Multiply both sides of the eqaution by 4 :

g = 96

Final answer g = 96

What does 3/5 + 2/5=

Answers

Answer:

1 whole

Step-by-step explanation:

Answer:

5/5 or 1 whole

Step-by-step explanation:

y=-3(x + 5)2 - 4
Convert the equation from vertex form to standard form.

Answers

Answer: pink one

Step-by-step explanation:

The convert form of vertex equation y = -3(x+5)² - 4 in standard equation is y = -3x² - 30x - 79.

What is vertex form of equation?

The standard form of the equation is ax²+bx+c=y and the vertex form of the equation is y= a(x-h)²+k,

Where k is a constant.

The given equation is,

y = -3(x+5)² - 4

To convert this vertex form of equation is standard form,

Simplify,

y = -3(x²+ 25 + 10x) - 4

y = -3x² -75 - 30x - 4

y = -3x² - 30x - 79

The required standard form of equation is y = -3x² - 30x - 79.

To learn more about Vertex form of equation on:

https://brainly.com/question/19173306

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find the zero of the polynomial p(x)=5x-10?

Answers

Answer:

x=2

Step-by-step explanation:

hope this helps i haven't done math like this in forever

want to learn symmetry?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

i dont know maybe

Step-by-step explanation:

idc

This needs to be turned in in 15 minutes help also can u answer both

Answers

Answer:

1.  12    

Step-by-step explanation:

Angle a =
126
What is the measure of angle b? Explain how you calculated your answer.
Angle a=
126° Write an equation(s) in terms of b to find the measure of angle h.
Calculate the measure of angle h, using the equation(s) you wrote for Part B.
How would knowing the measure of angle y change the equation(s) you wrote in Part B to find the measure of angle h?
B I VIX
©2021 Illuminate Education, Inc.

Answers

Answer:

L 2r. x. em -ca tpd apt answer

A cylinder has a height of 5 feet and a radius of 2 ft.
If a scale model of the cylinder is scaled up by a factor of 3, what is the surface area of the model?


756.20 ft.

791.68 ft.
832.05 ft.

865.28 ft.2

Answers

Answer:791.68

Step-by-step explanation:

2*pi*6^2 + 15 *pi * 12 = 791.68

Elena has more roses than Lin. Lin has 8 roses and Elena has x roses. Which expression represents the number of roses Elena has?

Answers

excess greater than or equal to eight

Estimate:
20 is 22% of what number?

Answers

Answer:

90.9091 yeah I'm pretty sure

The number 20 is 22% of 90.91.

Percentage is a way of expressing a portion or fraction of a whole as a proportion of 100. It is denoted by the symbol "%". Percentages are commonly used to compare relative values, express ratios, or represent portions of a whole.

To estimate the number that 20 is approximately 22% of, we can set up the equation:

0.22 x = 20

Here, x represents the unknown number we are trying to estimate.

To estimate x, we can divide 20 by 0.22:

x ≈ 20 / 0.22

x ≈ 90.91

Therefore, 20 is 22% of 90.91.

Learn more about Percentage here:

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1) 70% of what number is 28?

Answers

Answer: 40

Step-by-step explanation: 40*.7 is 28 so that's the answer. How I got the answer was I did 28/.7 to get 40

Hope this helps and brainliest would be appreciated

The measures of the angles of a triangle are in the extended ratio of 3:7:10. What is the measure of the LARGEST angle?
pls help me quick

Answers

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The ratio of the largest angle to the total is ...

  10/(3+7+10) = 10/20 = 1/2

The largest angle is half the total of all angles:

  1/2×180° = 90° . . . . measure of the largest angle

What is the greatest common factor of 22 and 2?

Answers

it would be 2. have a great day
The gcf for the factors of 22 and 2 is 2

100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.

Answers

Answer:

[tex]\frac{\sqrt{24}- \sqrt{54} }{\sqrt{6}}[/tex] = -1   [tex]\sqrt{\frac{9}{20}[/tex]*[tex]\frac{10\sqrt{2} }{3\sqrt{5} }[/tex] = 1.4142[tex]\frac{10\pi\sqrt{2}-8\pi\sqrt{2}}{2\sqrt{2}}[/tex]  = π =3.14159[tex]\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}[/tex] = π² = 9.8696

Explanation:

1.) Rewrite √24 = [tex]\sqrt{4*6} = 2\sqrt{6}[/tex]   Rewrite √54 =[tex]\sqrt{9*6}= 3\sqrt{6}[/tex]

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as [tex]\frac{3}{2\sqrt{5}}[/tex] ×[tex]\frac{10\sqrt{2}}{3\sqrt{5}}[/tex]  The 3's cancel.  10/2 = 5√2 in the numerator.

√5 × √5 = 5 in the denominator.  The 5's cancel.

That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

√2's cancel.  10π/2 = 5π   8π/2 = 4π  

Subtract and we are left with π = 3.14159

4.) [tex]\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}[/tex]  The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈  9.8696

Answer:

It goes...The second one, fourth one, First one, then the third one

Step-by-step explanation:

I took the test a while ago

What is the volume of the cone?

Answers

Answer:

Your answer is A. 525 x cm

Step-by-step explanation:

how many rhombuses are in a trapezoid?​

Answers

two pairs of parallel side
1 fits in a trapezoid

(square root X ) +2=6, solve for x

Answers

Answer:

[tex]\Large\boxed{x=16}[/tex]

Step-by-step explanation:

[tex]\sqrt{x} +2=6[/tex]

Subtract 2 from both sides

[tex]\sqrt{x} =4[/tex]

Square both sides

[tex]x=16[/tex]

Rectangular prism and its dimensions are shown in the diagram what is the total surface of the rectangular prism in square feet

Answers

Answer:

78.5

Step-by-step explanation:

A=2(wl+hl+hw)=2·(4·4.5+2.5·4.5+2.5·4)=78.5

How many solutions does the system have?Explain

Y=2x+3
-4x+2y=8

Please anyone help !?

Answers

There are NO SOLUTIONS.

Substitute the first equation for y in the second equation. You can see it does not work. 6 does not equal 8. Therefore there are no solutions.
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