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blagie [28]
3 years ago
10

What is the height of this isosceles triangle?

Mathematics
1 answer:
erastova [34]3 years ago
5 0

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = \frac{opposite}{hypotenuse} ( the opposite is the height h )

sin48° = \frac{h}{16} ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

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Enter the value of the 8 in the following number. 438.13
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Answer:

8

Step-by-step explanation:

It is in the one's place, so it is just 8x1, which is 8

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3 years ago
A die-cast plane toy is scaled at 3/16 inch to 1 foot. If the toy is 6.5 inches wide and 8.5 inches long, determine the dimensio
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Given that the die-cast has been represented by 3/16 in to 1 foot, We are are required to calculate for the actual measure of a toy measuring 6.5 inches wide and 8.5 inches long;
the actual width will be given by:
(6.5÷3/16)×1
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=35 feet
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4 0
3 years ago
Determine which situations would be debits from a bank account. Select all that apply. paying an electric bill
siniylev [52]

Answer:

im not sure but i think its c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Estimate the following quantities without using a calculator. Then find a more precise result, using a calculator if necessary.
zubka84 [21]

Explanation:

a. It is so easy to double a number that no approximation is necessary.

  31,000 × 200 = 3.1×10⁴ × 2×10² = 6.2×10⁶ exactly

__

b. 6.2×10³ × 5.2×10⁶ ≈ 6×5×10⁹ = 3×10¹⁰ approximately

The approximation can be refined a bit by taking the ".2" into account:

  6.2×10³ × 5.2×10⁶ ≈ (6×5 + .2×(6+5))×10⁹

  = 32.2×10⁹ = 3.22×10¹⁰ approximately

Actual product: 3.224×10¹⁰.

For most purposes, the approximation is an adequate approximation, as it it within 10% of the actual value.

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c. 9×10⁶ -2.3×10⁴ ≈ 9×10⁶ approximately

A better approximation is to actually subtract an approximation of the smaller number:

  9×10⁶ -2.3×10⁴ ≈ (9 - 0.02)×10⁶ ≈ 8.98×10⁶ approximately

The actual value uses all of the digits of the smaller number:

  9×10⁶ -2.3×10⁴ ≈ (9 - 0.023)×10⁶ = 8.977×10⁶ exactly

As in part B, either approximation is adequate for most purposes, as the difference from the actual value is less than .3%.

_____

The accuracy required of an approximation, hence the work you expend improving accuracy, should depend on the need in the final application of the number. Often, approximations are used for budget or resource planning purposes where some "slop" is allowed or even expected.

They can also be used in engineering applications, where the error needs to be on the side of more safety (rather than less).

7 0
3 years ago
Cyruer.
Maslowich

Answer:

Hello,

Step-by-step explanation:

Area of the sphere:

S=4*\pi *r^2

Volume of the sphere:

V=\dfrac{4*\pi *r^3}{3}

\dfrac{S}{3} =\dfrac{V}{7} \\\\\dfrac{4*\pi *r^2}{3} =\dfrac{4*\pi *r^3}{3*7} \\\\1=\dfrac{r}{7} \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi\\

Volume=\dfrac{4*\pi *7^3}{3} =\dfrac{1372*\pi }{3} \approx{1436,7550...(cm^3)}

4 0
2 years ago
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