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Degger [83]
3 years ago
8

Find the area of the shaded region

Mathematics
1 answer:
wariber [46]3 years ago
6 0
31x^2 + 53x - 8



Use the FOIL method to find the area of the large rectangle. (7x - 2)(9 + 5x)

First term in each binomial: 7x * 9 = 63x
Outside terms: 7x * 5x = 35x^2
Inside terms: -2 * 9 = -18
Last term in each binomial: -2 * 5x = -10x

Now, just add them all up.

63x + 35x^2 - 8 - 10x

35x^2 + 53x - 8



Now find the area of the square.

2x * 2x = 4x^2



Now, subtract the areas.

31x^2 + 53x - 8



Please consider marking this answer as Brainliest to help me advance.
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Help with this question, please!
uranmaximum [27]

Answer:

52 ft

Step-by-step explanation:

For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:

(24 ft)·(24 ft) = 576 ft^2

Then the missing segment length (DX) of the diameter chord is ...

DX·(36 ft) = 576 ft^2

DX = (576 ft^2)/(36 ft) = 16 ft

So, the total length of the diameter chord is ...

DX +XL = 16 ft + 36 ft

DL = 52 ft

_____

We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.

5 0
3 years ago
Solve the following<br> 2.87 x 7.8 =
kirill115 [55]

Answer:

22.386

Step-by-step explanation:

5 0
3 years ago
I need help, and I’m also confused.
amid [387]
There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.

It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.

Since the triangles are proportional,
to find the base of the big triangle

base(big)/hypotenuse(big)=base(small)/hypotenuse(small)

Plug in the numbers


x/15=3.5/7
x/15=1/2
x=15/2
x=7.5

The length of the base of the big triangle is 7.5cm
8 0
3 years ago
877.71 rounded to the nearest tenth
Ierofanga [76]
877.7 is the correct answer!
3 0
3 years ago
Read 2 more answers
Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles​
zalisa [80]

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

8 0
3 years ago
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