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3 years ago

Solve each equation 11.3 - 7.2f = -3.82

Mathematics

1 answer:

Tema [17]3 years ago

6 0

11.3-7.2f = -3.82
-11.3 -11.30
_____________
-7.2f = -15.12
____ _____
-7.2 -7.2
f = 2.1

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Which of the following statements is the only<br> sentence that is error-free?

Ray Of Light [21]

I don’t really know what the answer is

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2 years ago

Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, $\overline{AB}$ = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, $\overline{BC}$ = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, $\overline{AC}$ = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, $\overline{DE}$ = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, $\overline{EF}$ = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, $\overline{DF}$ = √((2 - 3)² + (-1 - (-3))²) = √5

∴ $\overline{AB}$ / $\overline{DE}$ = 2·√5/(√5) = 2

$\overline{BC}$ / $\overline{EF}$ = 2·√10/(√10) = 2

$\overline{AC}$ / $\overline{DF}$ = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0

3 years ago

Me need more help plz also add explanation real explanation

Reika [66]

So we want to find the surface area of this pyramid. Finding the surface area of a 3D shape is essentially finding the area of all its sides and adding them together.

What we're going to have to do here is find the area of the base of the pyramid, which is basically a square, and find the area of all four sides of the pyramid, which are triangles.

Formula for area of a square: length × width

Formula for area of a triangle: (base × height) ÷ 2

First we will find the area of the base:

l × w = A

(Write out formula)

8 × 8 =

(Input values)

A = 64 m^2 (square meters or meters squared)

(We have our answer, dont forgot to write your units.)

So we've figured out the area of the base. Now onto the triangles:

(b×h) ÷ 2 = A

(Write out formula)

(8 × 6) ÷ 2 =

(Input values)

48 ÷ 2 =

(Use PEMDAS to solve this correctly. We did whatever was in the parenthesis first, which was multiplication.)

A = 24m^2 (square meters or meters squared)

(We have our answer.)

Now we've found the area of the base of the pyramid and one of the sides of the pyramid, but we're almost done! There's four sides to the pyramid, they're all the same. So since we found the area for one, we can multiply that by 4 to find the area of all sides added together:

24 × 4

(area of a side × total sides)

= 96m^2

All that's left is adding the 96 to the area of the base to get our total surface area of the pyramid:

96 + 64 = 160

The surface area of the pyramid is 160m^2(square meters or meters squared)

(Hope this helps :) )

8 0

3 years ago

Read 2 more answers

5(y +2/5) = -13

Stells [14]

Answer:

y=-15

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Light in vacuum is incident on the surface of a slab of transparent material. In the vacuum the beam makes an angle of 43.8° wit

REY [17]

Answer:

Index of refraction of transparent is 1.48

Step-by-step explanation:

Snell's law states that;

n1(sinθ1) = n2(sinθ2)

Where;

n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.

In this question;

n1 = 1;

θ1 = 43.8°

θ2 = 19.3°

n2 is unknown.

Thus using Snell's law, we have;

1 x sin 43.8 = n2 x sin 19.3

n2 = (sin 43.8)/sin 19.3

n2 = 1.48

4 0

3 years ago