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ch4aika [34]
3 years ago
15

PLEASE HELP ME I NEED AN ANSWER ASAP!! <3 (photo included)

Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

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If mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", find each measure.
NikAS [45]

Step-by-step explanation:

Given mCDF = (3x + 14), mFDE = (5x - 2), and mCDE = (10x – 18)", then the expression mCDE = mCDF+mFDE is true.

To get x, we will substitute the given angles into the formula as shown;

(10x – 18) =  (3x + 14)+ (5x - 2)

10x-18 = 3x+5x+14-2

10x-18 = 8x+12

10x-8x = 12+18

2x = 30

x = 30/2

x = 15

Find the measure of each angle

For mCDF:

mCDF = 3x + 14

mCDF = 3(15)+ 14

mCDF = 45+14

mCDF = 59°

For mFDE:

mFDE = (5x - 2)

mFDE = 5(15) - 2

mFDE = 75-2

mFDE = 73°

For mCDE:

mCDE = (10x – 18)

mCDE = 10(15) - 18

mCDE = 150-18

mCDE = 132°

4 0
3 years ago
The ratio of boys to girls in a local choir is 7:10. If there are 35 boys in the choir, how many girls are there?
erica [24]

Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

The total part = 7+10= 17

let the number of boys and girls be x

applying the part to all method

7/17= 35/x

cross multiply

7x= 35*17

7x=595

x=595/7

x= 85

Hence the number of girls is

=85-35

=50 girls

3 0
3 years ago
Which are true about the pyramid? Check all that apply.
Travka [436]

The statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

4 0
2 years ago
What percent of 33 is 34
Viktor [21]
11.22 is 33% of 34 if that is what youre asking
3 0
3 years ago
Read 2 more answers
Work out the circumference of this circle.
Ksenya-84 [330]
Formula for circumference of circle:
C=2πr
here radius, r=4 cm and π=3.142
Put values in formula.
C=2(3.142)(4)
C=25.1 cm (Rounded to 1 decimal place)

Answer: Circumference of the circle is 25.1 cm (Rounded to 1 decimal place)
6 0
3 years ago
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