12 ft. 16 ft Find the area of the figure above.​

Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

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Answer:

4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.

Step-by-step explanation:

Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.

Let t be tomatoes and b be bell peppers

The proportion will be:

t:b

The ratio of tomatoes to bell pepper will be:

6:2

This ratio simplifies to 3:1

This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.

Now the bell peppers are 1.5 cups then the proportion will be:

[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]

Hence,

4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.

Answer:

there will be 1 person = the winner at round 10, and at round 9 there will be 5 it goes down by fifteen every time

Step-by-step explanation:

Can I Get brainiest

Answer:

Area of the shaded sector

=

42.41

Step-by-step explanation:

there u go hope it helps uhh

In the given diagram, the area of the shaded sector is 1.5π cm² OR 4.71 cm²

From the question, we are to calculate the area of the shaded sector

The area of a sector can be calculated by using the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times \pi r^{2}[/tex]

Where θ is the central angle

and r is the radius of the circle

From the give information,

θ = 60°

r = 3 cm

∴ [tex]A = \frac{60 ^\circ}{360 ^\circ} \times \pi \times 3^{2}[/tex]

[tex]A = \frac{1}{6} \times 9 \pi[/tex]

A = 1.5π cm² OR 4.71 cm²

Hence, the area of the shaded sector is 1.5π cm² OR 4.71 cm²

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Answer: The answer is 207.4 for the interest

Step-by-step explanation:

766.85 - 559.45= 207.4

The answer 207.4 is the amount of interest on Thayne's credit card bill.

We can find this answer by subtracting the amount of charges from the total bill amount.

Total bill amount = $766.85

Amount of charges = $1118.9

Amount of interest = $766.85 - $1118.9 = $207.4

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Answer:

c because 200 is the initial amount. He would have more than 200.

Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944

Step-by-step explanation:

Given that;

Binomial Distribution

n = 80

p = 0.15

q = 1 - p = 0.85

Mean = μ = np = 80 X 0.15 = 12

SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937

Now; Assumptions in normal distribution to binomial distribution

- The sample size = n = 80 > 30 . Large sample

-  np = 80 × 0.15 = 12 > 10

- nq = 80 × 0.85 = 68 > 10

so

80 × 0.15 = 12

80 × 0.20 = 16

To find P(12 < X < 16):

Z = (16 - 12) / 3.1937

= 4 / 3.1937

= 1.2525

Table of Area Under Standard Normal Curve gives area = 0.3944

Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944

Answer:

what do you want to say?

Answer:

disproportionate stratified sample

Step-by-step explanation:

Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.

Answer: 10%

Step-by-step explanation:

luckily, 1 is divisible by 10. so, we just divide 10 by 1. this gets us 10. so, we get 10%.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-7x+3

y+7x=3

y+7x=10

no solution.

Answer:

30 students

Step-by-step explanation:

40% boys and 12 boys so 60% is girls

40/100=12/x

x=30

30-12 is 18

so 30 students, 12 boys, and 18 girls.

Answer:

21

Step-by-step explanation:

Answer:

-1.2

Step-by-step explanation:

Answer:

-6/5=M

Step-by-step explanation:

The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.

⇒ initial amount - check amount

⇒ $37.25 - $23.99

Apply the subtraction operations, and we get

⇒ $13.26

Therefore, the amount she will have left after writing a check for $23.99 is $13.26.

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Answer:

1.) 120 mph

2.) 30 mph

Step-by-step explanation:

Given that a  man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?

Let the wind speed = w

and the plane speed = p

From the first sentence,

P - w = 180/ 2

P - w = 90 ....... ( 1 )

From the second statement,

P + w = 180/1.2

P+ w = 150 ...... ( 2 )

Solve equation 1 and 2 simultaneously

P + w = 150

P - w = 90

Add the two equations

2P = 240

P = 120 mph

Substitute p in equation 1

W = 150 - 120

W = 30

Therefore, the wind speed is 30 mph and the plane speed is 120 mph

its 2 because 2plus is 2

Answer:

24-7 is the answer for u

Answer:

B= 168

G=56

Step-by-step explanation:

3x+x= 224

4x=224

x=56

3x56=168

Answer:

150

Step-by-step explanation:

900/6

= 150 in each box

hope this answer helps!!!

Answer:b

Step-by-step explanation:

Answer:

hey its a. the absolute value of any number is always positive.

Step-by-step explanation:

Answer:

n

Step-by-step explanation:

Answer:

[tex]2 {2 = | \leqslant 3 > 3 |2 > \times 2 \frac{?}{ \tan( \sec(\pi\% log_{?}( \beta ) ) ) } | | }^{?} [/tex]

7=9/8ths

Answer:

a

Step-by-step explanation:

Answer:

The  value is  [tex]1.75 \ and \ -1.75[/tex]

Step-by-step explanation:

From the question we are told that

     The null hypothesis is  [tex]H_1 : \mu \ne 3.24[/tex]

     The level of significance is  [tex]\alpha = 0.08[/tex]

From the z table  the critical value of  [tex]\alpha[/tex] considering the two tails of the normal  curve( This is because this a two tailed test ) is

       [tex]z= \pm 1.75[/tex]

Hence the critical value is  

       [tex]1.75 \ and \ -1.75[/tex]