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3 years ago

In ΔDEF, the measure of ∠F=90°, FD = 75 feet, and EF = 95 feet. Find the measure of ∠D to the nearest tenth of a degree.

Mathematics

2 answers:

natima [27]3 years ago

6 0

First use Pythagoras theorem to find the length |DE|. Next use the sine rule

Nookie1986 [14]3 years ago

3 0

Answer:

51.7

Step-by-step explanation:

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15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm

ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.

#Volume of the golf ball:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

#The volume of the water in the glass:

$V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2$

We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

4 0

3 years ago

150 is 25% of what number? Four students solved this problem using equivalent ratios. Choose the student whose work is correct.

jenyasd209 [6]

Answer:

liam's answer is correct

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is 3.2 × 10−4 m/h in centimeters per second? A. 8.889 × 10−6 cm/s B. 8.889 × 10−5 cm/s C. 1.152 × 10−5 cm/s D. 1.152 × 10−7

atroni [7]

$3.2 x 10^{-4} x \frac{100}{3600} = 8.888 x 10^{-6}$

therefore ur answer is OPTION A 8.889 x 10-6 cm/s

4 0

3 years ago

3x^2-4x+1, match the following

il63 [147K]

Answer:

x = variable

3 = coefficient

1 = constant

3x^2-4x+1 = algebraic expression

2 = degree

Step-by-step explanation:

variables are typically the letters in equations (usually x and y)

coefficients are the numbers attached to the variables

constants don't have any variables attached

algebraic expressions are the full expression

degrees are the small numbers in the top right corners on either constants, variables or coefficients

Hope this helps!

8 0

3 years ago

Help much needed ✨ <br> Thank you

Radda [10]

1 = 64
2 = 44
3 = 5 over 1

3 0

3 years ago

Read 2 more answers