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3 years ago

A line that intersects two or more lines is called a parallel line true or false

Mathematics

1 answer:

Irina18 [472]3 years ago

6 0

Answer:

False

Step-by-step explanation:

Parallel lines never touch

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The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

7 0

3 years ago

Read 2 more answers

Write an equivalent equation that does not contain fractions 2/3 x + 9 equals 3/4

AlekseyPX

Answer:

8x + 108 = 9

Step-by-step explanation:

Given

$\frac{2}{3}$ x + 9 = $\frac{3}{4}$

Multiply through by the lowest common multiple of 3 and 4, that is 12 to clear the fractions.

8x + 108 = 9 ← equivalent equation with no fractions

6 0

3 years ago

1 Point

Murrr4er [49]

Answer:

C. p(x) = 5x - 12.

Step-by-step explanation:

p(x) = 8x - (3x + 12) (Note you have to put the 3x+12 in parentheses).

p(x) = 8x - 3x - 12

p(x) = 5x - 12

4 0

3 years ago

There are 28 nonfiction books and 35 fiction books in the teacher's collection. Which of the following expresses the ratio of no

Lostsunrise [7]

The answer is B) 4:5

First write the ratio out. To find the simplified expression, divide by the greatest common factor (GCF). In this case, the GCF of 28 and 35 is 7.

28:35
--- ----
7 7
=4:5

4:5 is the simplest form because you cannot simplify it further.

5 0

3 years ago

Read 2 more answers

After 5 tests Dara's average score was 88 what score must she average on the next two tests to have a seven-test average of 90?

Tomtit [17]

After 5 tests, her average was 88. To have a seven-test average of 90, the total must be:

$90 \times 7 = 630$