1. The radius of a circle is
A. 7 m
B. 5 m
C. 12.6 m
D. 8 m

2. The area of triangle is

A.78.5 m²
B. 7.85 m²
C. 785 m²
D. 87.5 m²
3. The area of a triangle is

A. 88.2 m² B.
52.7 m2
C. 44.1 m²
D. 8.82 m²

4. To compute for the area of the shaded region we
A. add both areas
B. subtract both areas
C. multiply both areas
D. divide both areas

5. What is the area of the shaded region?
A 34.4 m²
B. 56.8 m²
C. 97.2 m²
D.122.6 m²

the shape is in the picture T - T​

Answer:

(0,-4),(1,1)(2,6)

Step-by-step explanation:

Answer:

Yes, Anna and Sharon both created triangles that are congruent. Their triangles are congruent because they have 2 corresponding, congruent side-lengths and an included angle that is congruent. Therefore, their triangles are congruent by SAS (Side-Angle-Side).

Answer:

M<1 is 43 degrees and M<2 is 137

Step-by-step explanation:

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees

First, we know that M<1 and M<2 added together is 180. We know M<1 is 7x+1, so then, we have:

(7x+1) + (M<2) = 180

Therefore, we have 180-(7x+1) = M<2. We can't solve the equation further on from there, so we move on.

Next, we know that M<2 and M<3 added together is 180. We know that M<3 is 12x-29, so then, we have:

(12x-29) + (M<2) = 180

Therefore, we have 180-(12x-29) = M<2. Now, we have two equations to solve x:

180-(7x+1) = M<2 and 180-(12x-29) = M<2. As both equations equal M<2, they equal each other. Thus, we have:

180-(7x+1) = 180-(12x-29)

We can cancel out 180, so:

-(7x+1) = -(12x-29)

-7x-1 = -12x+29

-30 = -5x

x = 6.

Now that we have x, we can find M<1, M<3, and M<2. M<1 is (7x+1), so we use substitution, putting 6 for x, and M<1 is evaluated to 43 degrees.

Now that we have M<1, we can find M<2 easily. M<1 + M<2 = 180, so 43 + M<2 must be 180. Therefore, M<2 is 137 degrees.

We can do the same for M<3, but the problem does not require it.

The area of the square having the same length of the base of the triangle is 7245 square inches.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the given figure as the base of the triangle is an equal length of the side of a square we can obtain the area of the square by first applying Pythagoras on the right angle triangle having a height of 87 inches and a hypotenuse of 18 inches.

So,

Base = {√(87² - 18²)}.

Base = √(7245) inches.

Base = 85.11 inches.

Now, We also know that the area of a square is (side)².

Therefore it is (87.11)² which is the same as 7245 sq inches.

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Answer:

10cm

Step-by-step explanation:

Since ABC and DEF are similar, the ratio of their side is always the same.

The ratio here is:

DF/AC = 6/4 = 1.5

Therefore, it means that BC x 1.5 = EF

So:

BC x 1.5 = 15

BC = 15 / 1.5 = 10cm.

Answer:

Step-by-step explanation:

-12

Answer:

9.0 ft

Step-by-step explanation:

Let the distance from the bottom of the board to the edge of the wall be represented as "x"

Angle measure = θ = 53.13°

Hypotenuse = 15 ft

Adjacent side = x ft

The trigonometric ratio we would apply would be CAH:

Thus,

Cosine θ = Adjacent/Hypotenuse

Plug in the values

Cos 53.13° = x/15

Multiply both sides by 15

15 * Cos 53.13 = x

9.00002143 = x

x ≈ 9.0 ft (nearest tenth)

Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft

The value of the tan(α) is -0.2624.

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.

Given that, the angle α intersects the unit circle at point (-0.2538, 0.9673). We need to find the value of tan(α),

We know that, the tangent of the angle is the ratio of the perpendicular and the base,

So,

tan(α) = -0.2538 / 0.9673

= -0.2624

Hence, the value of the tan(α) is -0.2624.

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Answer:

5148 months

Step-by-step explanation:

the equation that can be used to represent this question is :

100 + 50x = total amount that would be saved in x month

x = number of months

100 + 50x = 257,500

collect like terms

50x = 257,500 - 100

50x = 257,400

x = 257,400 / 50

x = 5148 months

Answer: Hmmmmmm

Explanation

Answer:

1.) x = 50 2.) x = 70

Step-by-step explanation:

These angles are complementary angles meaning the angles add up to 90°. Therefore, we can set up equations to solve for the variables.

1.)

x + 40 = 90

x = 50

2.)

x + 20 = 90

x = 70

Answer:

x = 50°

x = 70°

Step-by-step explanation:

90° - 40° = 50°

x = 50°

90° - 20° = 70°

x = 70°

9514 1404 393

Answer:

  (C)  SAS

Step-by-step explanation:

The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.

Those angles are between pairs of proportional sides:

  60/42 = 40/28 = 10/7

so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.

LJ and LI are the figure's two congruent portions. Congruency means that the segments' sizes and shapes will be comparable.

Two triangles are said to be congruent to one another according to the Side-Angle-Side Congruence Theorem (SAS) if the included angle and corresponding two sides of one triangle match those of the other. Two sides that are being considered are determined to have an included angle. Therefore, using the SAS Congruence Theorem to prove that two triangles are congruent based on the fact that they have two pairs of corresponding sides and one pair of corresponding angles is insufficient.

given

The two segments LI and LJ that are marked in the illustration are congruent to one another.

Congruency means that the segments will have the same size and shape.

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Answer:

The area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2

Step-by-step explanation:

To increase the size of a triangle by a scale factor of 10/3, you can multiply each side length of the triangle by 10/3.

The new dimensions of the triangle would be (10/3) * 9ft = 30ft and (10/3) * 12ft = 40ft.

The area of a triangle is given by the formula A = (1/2) * b * h, where b is the length of the base and h is the height of the triangle.

Using the new dimensions of the triangle, the area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2.

Answer:

8/13

Step-by-step explanation:

5 + 5 + 3 = 13 total

5 red balls + 3 green balls = 8

Answer:

It's Both

Step-by-step explanation:

for the first two co-ordinates, there are many y-value for a single x-value, then for the last two co-ordinates theres a single y-value for one x-value

Answer:

10.8 g

Step-by-step explanation:

Exponential decay equation:  [tex]A=A_0e^{-rt}[/tex]

[tex]A_0[/tex] is the initial amount (at time t = 0, "noon")

r is the decay rate

You have two pieces of information:

Noon   t = 0  [tex]A_0=50[/tex]

3:00 pm  t = 3  [tex]A=30[/tex]

Plug those in to get  [tex]30=50e^{-r(3)}[/tex]

Divide by 50.

[tex]0.6=e^{-3r}[/tex]

Take the natural log of both sides.

[tex]\ln(0.6)=-3r[/tex]

Divide by -3.

[tex]\frac{\ln{(0.6)}}{-3}=r\\\\r \approx .17027[/tex]

Now, for 9:00 pm, use this value of r and  t = 9.

[tex]A=50e^{-.17027(9)} \approx 10.8[/tex]

Answer:

Total number of package Deli made = 48 package

Step-by-step explanation:

Given:

Amount of cheese block = 12 pound

Amount of cheese in each package = 1/4 pound

Find:

Total number of package Deli made

Computation:

Total number of package Deli made = Amount of cheese block / Amount of cheese in each package

Total number of package Deli made = 12 / [1/4]

Total number of package Deli made = 12 x 4

Total number of package Deli made = 48 package

Answer: 48 packages

Answer:

It should be 2.016 m cubed

Step-by-step explanation:

the formula is V= 1/3 ( l × w × h ) if you want to check

The population change for each period is given as follows:

Hence the average annual change for the period between 1970 and 1995 is given as follows:

7,932,000 people a year.

The population change over a period is given by the subtraction of the population at the end of the period by the population at the beginning of the period.

The population data for each year is given by the table on the image presented at the end of the answer.

Hence the changes are obtained as follows:

The change between 1970 and 1995 is of:

5.691 - 3.708 = 1.983 billion.

This period is composed by 25 years, hence the average annual change is of:

1.983/25 = 0.07932 billion people a year = 7,932,000 people a year.

The chart is given by the image presented at the end of the answer.

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Exterior angle of triangle x has a value of 135 in this sentence.

A protractor can be used to measure angles precisely. Angles are measured in degrees, hence the term "degree measure." Since one full revolution is equivalent to 360 degrees, it is divided into 360 segments.

According to the "sides of a triangle rule," any two sides of a triangle must add up to be longer than the third side.

By extending one side of the triangle, an external angle is formed. An exterior angle is the angle formed by the stretched side and the side that is immediately adjacent.

Practice. Triangle Angle Measurement

via the triangle's external angle characteristic, x = 105 + 30 = 135.

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Answer: -6P - 10

Step-by-step explanation:

STEP 1.   -12 - 6P + 2

STEP 2.   -6P + ( -12 + 2 )

STEP 3.   -6P - 10

The expression 1.7 x 5.5  can be an area model of the rectangle where the length is 1.7 and the width is 5.5

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

The expression 1.7 x 55 is an area model.

Area of rectangle = length x width

Now,

Length = 1.7

Width = 55

Area = 1.7 x 5.5

Thus,

The expression 1.7 x 5.5 can be an area model.

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The value of the car will be £2,621 after 5 years.

Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time.

Given that, The value of a second-hand car is £8,000. Each year it loses 20% of its value, we are asked to find its value after 5 years.

This is a situation of exponential decay.

Hence, using the exponential decay formula =

A = P(1-r)ⁿ

Where A is final value, P is principal value, r is rate of decrease and n is the number of years.

Here, we will find A, and we have,

P = £8,000.

r = 20% = 0.20

t = 5

Therefore,

A = 8000(1-0.20)⁵

A = 8000(0.80)⁵

A = 8000(0.32768)

A ≈ 2,621

Hence, the value of the car will be £2,621 after 5 years.

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Answer:

c

Step-by-step explanation:

Answer:

I believe it would be 64 in 2 correct me if I am wrong.

Answer:

Since the apparent height h of the tower varies inversely with Corin's distance d from the tower, we know that h and d are inversely proportional. This means that the product of h and d is constant. We can write this relationship as:

hd = k

where k is a constant.

We can find the value of k by substituting the known values of h and d:

9 inches * 800 feet = k

Solving for k, we find that k = 7200 inches * feet.

Since h and d are inversely proportional, we can write the inverse relationship as:

d = k / h

Substituting the value of k that we found earlier, we have:

d = 7200 inches * feet / h

To find the apparent height of the tower if Corin is standing 2000 feet away, we can substitute 2000 for d in the equation above:

h = 7200 inches * feet / 2000 feet = 3.6 inches

Therefore, the apparent height of the tower would be 3.6 inches if Corin is standing 2000 feet away.

Step-by-step explanation: