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rjkz [21]
1 year ago
9

Label the sides of the right triangle.*2 pointsCaptionless ImageA) Hypotenuse = 8 m, Adjacent = 15 m, Opposite = 17 mB) Hypotenu

se = 17 m, Adjacent = 8 m, Opposite = 15 mC) Hypotenuse = 15 m, Adjacent = 17 m, Opposite = 8 mD) Hypotenuse = 17 m, Adjacent = 15 m, Opposite = 8 m

Mathematics
1 answer:
Bingel [31]1 year ago
4 0

Given:

There are given that the right angle triangle, UVW.

Where,

\begin{gathered} UV=8m \\ VW=15m \\ UW=17m \end{gathered}

Explanation:

According to the concept:

The hypotenuse is defined as the longest side in the right-angle triangle.

The perpendicular side is defined by the perpendicular base angle.

And,

The adjacent side is defined by the leg of the right-angle triangle.

Final answer:

Hence, the correct option is D.

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What is the length of AC?<br><br> 3 ft<br> 4 ft<br> 9 ft<br> 18 ft
marissa [1.9K]
Ok so we know that the length of BN and NC are the same, so BC should be 6, and BM and MA are the same so BA should be 8. Using ratios, we can use either 3/6=9/x or 4/8=9/x. Using either equations the answer u would get is 18.

The length of AC is 18
8 0
3 years ago
a square figure with side 4 ft has a semicircle with radius 2ft at the top what is the perimeter of the figure ? what formula sh
andreyandreev [35.5K]

Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

<u>I) Find the square's perimeter:</u>

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

<u>II) Find the semicircle's perimeter:</u>

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

<em>πr + 2r (pi x radius + radius x 2)</em>

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

<em>πr (pi x radius)</em>

In terms of π, the perimeter would be:

<em>2π = 2π ft.</em>

Or, if you used a standard approximation of π, let's say 3.14, it would be:

<em>2(3.14) = ~6.28 ft.</em>

<u>III) Add them up:</u>

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

6 0
3 years ago
Someone please help me. SERIOUS answers only.
malfutka [58]
So, we need to know what the unit rate. Basically, how many miles in 1 hour is what we are looking for. To do this, we must use the data given. Let's do 2 hours. So, we have to divide 2 hours by 36 miles. 36/2 is 18. So, 18 miles per hour is our unit rate. Now, we need to find how many miles in 8 hours. So, we need to multiply 18 miles (because that's 1 hour) by the number of hours we need, which is 8 in this case. So, 18*8 is equal to 144. So, 144 miles is the distance traveled in 8 hours. Hope this helped! 
4 0
3 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
4 years ago
Use the formula below to find the value of $400 invested at 4% interest compounded monthly for 10 years. Step 1:Find the value o
Mazyrski [523]

Answer:

See below

Step-by-step explanation:

Step 1.

P = $400

r = 0.04

t = 10 years

n = 12  ( as there are 12 months in a year).

Step 2.

A(10) = 400(1 + 0.04/12)^12^10

= 400 * 1.00333333^120

= $596.33 to the nearest hundredth (answer).

4 0
3 years ago
Read 2 more answers
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