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3 years ago

An equilateral triangle has a side measure of 10 in. Find the measure of one of the angles.

Mathematics

1 answer:

JulsSmile [24]3 years ago

4 0

Equilateral triangles always have 3 congruent angles, so the measure of each angle is 60

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A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow

Vikentia [17]

Answer:

9ft

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are proportional.

Let the height of the flag pole be x feet.

$\frac{x}{6} = \frac{12}{8}$

We multiply both sides by 6 to get:

$x = \frac{12}{8} \times 6$

We reduce the fraction to get:

$x = \frac{3}{2} \times 6$

We now simplify

$x = 3 \times 3$

$x = 9ft$

4 0

2 years ago

What is the volume of the following triangular prism?

Eva8 [605]

Answer:

$V=150cm^3$

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the formula:

$A_T=\frac{bh}{2}$

where b is the base: $b=4cm$ and h is the height: $h=5cm$

thus, in this case we have:

$A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2$

And now, the volume will be the area of the triangle multiplied by the length $l=15cm$ of the prism:

$V=A_T*l$

Substituting the known values:

$V=10cm^2*15cm\\V=150cm^3$

The volume in cubic centimeters is 150.

4 0

3 years ago

7x+6>or equal to -(x-6)

WINSTONCH [101]

Answer:

x≥ 0

Step-by-step explanation:

7x+6 ≥ -(x-6)

Distribute the minus sign

7x+6 ≥ -x+6

Add x to each side

7x+x+6 ≥ -x+x+6

8x+6 ≥ 6

Subtract 6 from each side

8x+6-6 ≥ 6

8x≥ 0

Divide by 8

8x/8≥ 0/8

x≥ 0

3 0

2 years ago

Choose whether the expression is a result of multiplying

vladimir1956 [14]

Answer:

neither

Step-by-step explanation:

Take out 5 as a common factor. It will be easier to look at.

5(5c^2 + 11c + 6)

5(5C +6 )(c + 1 )

Now you can put the 5 inside.

(25c + 30)(c + 1) is one answer.

(5c + 6)(5c + 5) is another.

The answer is multiplying binomials. There is nothing that that is squared and the answers are not conjugates. They are two binomials multiplied together.

8 0

2 years ago

The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second

Marina86 [1]

He jumped 1.542 feet
7/8 + 2/3

5 0

3 years ago