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nadezda [96]
3 years ago
14

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the missing part.

Mathematics
1 answer:
wel3 years ago
4 0

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


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KengaRu [80]

Answer:

m∠X = 29°

m∠V = 61°

m∠W == 90°⇒given

Step-by-step explanation:

∵ ΔXWV is right angle at W

∴ m∠W = 90°

∴ m∠X + m∠V = 180° - 90° = 90°

∵ m∠X = 2x + 5 and m∠V = 4x +13

∴ 2x + 5 +4x + 13 = 90

∴ 6x + 18 = 90

∴ 6x = 90 - 18 =72

∴ x = 72/6 = 12

∴ m∠X = 2(12) + 5 = 29°

∴ m∠V = 4(12) + 13 = 61°

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3 years ago
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wlad13 [49]

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Step-by-step explanation:

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3 years ago
8 1/2 x 4/11 please solve
irakobra [83]

Answer:

3 1/11

Step-by-step explanation:

8 1/2 x 4/11

Change to an improper fraction

(2*8+1)/2  * 4/11

17/2 * 4/11

68 /22

Divide the top and bottom by 2

34/11

Change back to a mixed number

11 goes into 34 3 times with 1 left over

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7 0
3 years ago
Read 2 more answers
Find the y and the x intercepts of the graph of the equation of y=3x+1
BaLLatris [955]

Answer:

x-intercept ⇨ -1/3

y-intercept ⇨ 1

Step-by-step explanation:

⟺ Finding the x-intercept, substitute y = 0

y=3x+1\\0=3x+1\\3x+1=0\\

Move 1 to subtract the another side.

3x=-1

Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.

x=-\frac{1}{3} #

⟺ Finding the y-intercept, substitute x = 0

y=3x+1\\y=3(0)+1\\y=0+1

y=1 #

Tips:

Here's the tips about finding the intercepts of the graph.

⟺ For x-intercept, It's like solving an equation to find the x-term.

⟺ For y-intercept, It's like using the constant to answer.

As for y = mx+b where m = slope and b = y-intercept.

For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.

7 0
3 years ago
Carpet, padding, and installation costs $23.23 per sq. yd. how much would it cost to carpet both bedrooms.
MAVERICK [17]
$46.46 for both rooms to have carpet
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