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3 years ago

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Mathematics

2 answers:

choli [55]3 years ago

8 0

The answer of the question number 2 is D

grigory [225]3 years ago

6 0

He was right it's D.

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HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid

aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

$V=\frac{s^2h}{3}$

Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.

Find the height with the Pythagorean Theorem:

$a^2=b^2+c^2$

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.

You can identify in the figure that:

$a=26mm\\\\b=\frac{23mm}{2}=11.5mm\\\\c=h$

Then, you can find the height:

$(26mm)^2=(11.5mm)^2+h^2\\\\h=\sqrt{(26mm)^2-(11.5mm)^2}\\\\h=23.318mm$

Then, knowing that:

$s=23mm\\h=23.318mm$

You can calculate the volume:

$V=\frac{(23mm)^2(23.318mm)}{3}=4,111.7mm^3$

3 0

3 years ago

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without re

butalik [34]

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

3 0

2 years ago

Four times the difference of b and six is equal to b squared

Tcecarenko [31]

Answer:

4(b-6)=b^2

Step-by-step explanation:

The difference would mean that it is subtraction and you multiply that difference by 4 and set it equal to b squared

3 0

3 years ago

A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below.

ivolga24 [154]

Answer:

Option D. The student did not use the correct formula to calculate the area of the segment

Step-by-step explanation:

step 1

Find the area of the isosceles triangle

Applying the law of sines

$A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}$

step 2

Find the area of the sector

The area of the sector is 1/6 of the area of the circle

$A=\pi r^{2}/6$

substitute the value

$A=(3.14)(12)^{2}/6=75.36\ ft^{2}$

step 3

Find the area of the segment

The area of the segment is equal to the area of sector minus the area of triangle

$A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}$

therefore

The student did not use the correct formula to calculate the area of the segment

4 0

3 years ago

Which trigonometric ratios can be determined from the triangles? Select all that apply.

Maksim231197 [3]

Where’s the ratios that we can select? can you provide?

3 0

3 years ago