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3 years ago

8

Which triangles in the diagram are congruent?

2 answers:

malfutka [58]3 years ago

8 0

Answer:

Triangle 1 and Triangle 3

Step-by-step explanation:

By SAS (Side-Angle-Side) property

lesya [120]3 years ago

7 0

Answer:

triangle 1 and triangle 3.

Step-by-step explanation:

Given : Four triangle .

To find : Which triangles in the diagram are congruent.

Solution :

By Congruent rule Side angle side : In triangle 1 and triangle 3 are congruent by side angle side .

Therefore, triangle 1 and triangle 3.

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

2 years ago

If f(x) = 4(3x - 5), find f-1(x)

deff fn [24]

Answer:

$f^{-1}(x) = \frac{1}{12}(x+20)$

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ $\frac{1}{12} (y+20) = x$

Replace the places of x and y.

∴ $y=\frac{1}{12} (x+20)$

∴ $f^{-1}(x) = \frac{1}{12}(x+20)$

7 0

3 years ago

Approximately how many times greater is

katovenus [111]

Answer:

30

Step-by-step explanation:

To compare the numbers, divide the first number by the second number.

(7.4 x 10^8)/(2.5 x 10^7) = (74 x 10^7)/(2.5 x 10^7) = 74/2.5 = 29.6

Answer: 30

3 0

2 years ago

Read 2 more answers

Please help me ASAP <br> Please help

son4ous [18]

9514 1404 393

Answer:

5 cm

Step-by-step explanation:

The kite is symmetrical about the long axis, so the height of each of the triangles is half the overall width of the kite. (10 cm/2 = 5 cm)

The height of the triangle <em>h</em> is 5 cm.

3 0

2 years ago

I will mark brainlyist if you answer it and it is correct

Stells [14]

Hello!

You can solve this algebraically

7w < -42

Divide both sides by 7

w < -6

The answer is any number less than -6 or w < -6

Hope this helps!

7 0

3 years ago

Read 2 more answers