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Ratling [72]
3 years ago
9

What is the base area.

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = \frac{63}{6}

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

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Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat
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Answer:

x=23.82^o

Step-by-step explanation:

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Solve for x.<br> 3(-2x - 1) = 2(x + 5)
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either one is the answer

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What it the measure of CD?​
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Answer:

B. 72°

Step-by-step explanation:

Remember : Measure of inscribed angle = 1/2 × measure of intercepted arc.

Then

The measure of arc CD = 2 × m∠DBC

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7 0
2 years ago
A campsite is 12.88 miles from a point directly below Mt. Adams. If the angle of elevation is 15.5° from the camp to the top of
nata0808 [166]

Answer:

3.57 miles

Step-by-step explanation:

Please consider the attachment.

We have been given that a campsite is 12.88 miles from a point directly below Mt. Adams. The angle of elevation is 15.5° from the camp to the top of the mountain. We are asked to find the height of the mountain.

We can see from the attachment that h is opposite side to angle 15.5 degrees and 12.88 miles in adjacent side.

We know that tangent relates opposite side of right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(15.5^{\circ})=\frac{h}{12.88}

\text{tan}(15.5^{\circ})\cdot(12.88)=\frac{h}{12.88}\cdot(12.88)

12.88\cdot\text{tan}(15.5^{\circ})=h

h=12.88\cdot\text{tan}(15.5^{\circ})

h=12.88\cdot(0.27732454406)

h=3.5719401274928

h\approx 3.57

Therefore, the mountain is approximately 3.57 miles high.

4 0
3 years ago
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