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Daniel [21]
3 years ago
9

Please answer giving brainliest

Mathematics
2 answers:
sweet [91]3 years ago
5 0

Answer:

x=70

Step-by-step explanation:

\frac{[180-(24+16)]}{2}

FromTheMoon [43]3 years ago
4 0

Answer:

x=10

Step-by-step explanation

x^2+24^2=(16+x)^2

x^2+576=256+16*2x+x^2

576-256=32x

32x=320

x=320/32

x=10

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The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the
Anuta_ua [19.1K]

see the attached figure to better understand the problem

Step 1

in the triangle ABC

<u>Find the distance AC</u>

we know that

In the right triangle ABC

tan(A)=BC/AC

solve for AC

AC=BC/tan(A)

BC=10\ m\\A=35.5\°

substitute the values

AC=10/tan(35.5\°)

AC=14.02\ m

Step 2

in the triangle DEF

<u>Find the distance DF</u>

we know that

In the right triangle DEF

tan(D)=EF/DF

solve for DF

DF=EF/tan(D)

EF=14\ m\\D=54.5\°

substitute the values

DF=14/tan(54.5\°)

DF=9.99\ m

Step 3

Find the value of x

we know that

the value of x is the difference between AC and DF

x=AC-DF

x=14.02-9.99=4.03\ m

round to the nearest meter-------> x=4\ m

therefore

<u>the answer is</u>

The value of x is  4\ m

8 0
3 years ago
Read 2 more answers
Solve the equation. Round to the nearest hundredth. Show work.
denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is 5^{-2x-1}=4^{4x+3}.

Now we need to solve equation 5^{-2x-1}=4^{4x+3} and round to the nearest hundredth.

5^{-2x-1}=4^{4x+3}

\log(5^{-2x-1})=\log(4^{4x+3})

(-2x-1)\log(5)=(4x+3)\log(4)

-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)

-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)

x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}

Now use calculator to calculate log values, we get:

x=-0.65817959094

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0
4 years ago
a ventilation fan is installed in a vertical position as the fan rotates the distance in inches between the tip of a fan blade a
astra-53 [7]

Answer:

1,000

Step-by-step explanation:

6 0
3 years ago
Mikalya’s friend lives exactly 234 miles away from her house in Houston. If Mikayla travels at a constant rate of 65 miles per h
Orlov [11]

Answer:

three hours and 36 mins

Step-by-step explanation:

7 0
3 years ago
Kristine and her friends are raising money for charity. They hope to raise $900 to reach their goal. So far, they have $780. How
larisa86 [58]

Answer:

$120

Step-by-step explanation:

They have raised $780 and need to raise $900.

(Total amount they need to raise) - (total amount they raised) = (how much more they need to collect)

$900 - $780 = $120

6 0
3 years ago
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