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3 years ago

Find the area of the following figure.

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

Answer:

A. 312 cm²

Step-by-step explanation:

The figure compromises of a rectangle and 2 equal triangles.

Area of the figure = area of the rectangle + area of the two triangles

Area = L*W + 2(½*b*h)

Where,

L = 16 cm

W = 12 cm

b = 12 cm

h = 10 cm

Plug in the values

Area = 16*12 + 2(½*12*10)

= 192 + 120

= 312 cm²

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What is the surface area of this rectangular prism?

dybincka [34]

Answer:

256 ft²

Step-by-step explanation:

4 lateral faces + 2 bases

The total area

$=2 \times (12 \times 4) + 2 \times (12 \times 5) + 2 \times (5 \times 4)$

$= 96 + 120 + 40$

$= 256$

3 0

3 years ago

Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an

alisha [4.7K]

Answer:

$\sin \theta=-\frac{4}{5}$

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse = $\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5$

Now, using the sine ratio for the angle, we have

$\sin \theta=\frac{Opposite}{Hypotenuse}\\\sin \theta=\frac{-4}{5}\\\sin \theta=-\frac{4}{5}$

Therefore, the value of $\sin \theta$ is $-\frac{4}{5}$ .

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

4 0

3 years ago

What are the coordinates of point A? A. (5,4) B. (4,5) C. (4,6) D. (6,4)

erica [24]

The answer is A . (5,4)

3 0

2 years ago

Read 2 more answers

Question 4 please. I will mark brainliest!! i would at least like the equation of the graph thank you

Anestetic [448]

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c. (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0 when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

3 0

3 years ago

15 degrees in 2 hours.

alekssr [168]

Answer:

Step-by-step explanation: it’s 37 rn

8 0

3 years ago