In ΔABC, the measure of ∠C=90°, AB = 86 feet, and CA = 61 feet. Find the measure of ∠A to the nearest degree.

Answer:

area of a circle ⭕= πr²

radius = diameter ÷2;

radius = 38÷2

radius = 19

3.14 * 19²

= 1133.54 cm²

Answer:

  (d)  (-1/4, 3/4)

Step-by-step explanation:

You want the solution to the graphed system of equations.

The solution is the point that satisfies both equations, the point where the lines intersect. That point is in the 2nd quadrant, where x-values are negative.

The only suitable answer choice is ...

  (x, y) = (-1/4, 3/4)

The wheel is spinning at 23.80 miles per hour

The wheel speed in miles per hour can be calculated using the expression below:

Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),

where r is the radius of wheel , 60 converts minute to hour and 63360

converts inches to miles

Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)

Speed in miles per hour = 23.80 miles per hour

Thus, the wheel spins at  23.80 miles per hour

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Answer:

exactly one pair of parallel sides =E

two pairs of sices of equal length = B,D

no right angle = A,C

Answer:

B

Step-by-step explanation:

Minimum: 4

Lower Quartile (Q1): 7

Median: 9

Upper Quartile (Q2): 13

Maximum: 14

Step-by-step explanation:

B.

you can see by the box plots and notice that A doesn't have the same

Answer:

4

Step-by-step explanation:

The coefficient is 4 because it is the amount placed before a variable. The variable is the x, therefore, the coefficient is the 4, the amount placed before the x.

Hope this helps! :)

The length of the missing side is 54.

Triangle is a closed polygon consisting of three sides, three vertices and three angles.

Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.

Given that ΔABC and ΔPQR are similar.

Let x be the side length of PR.

Ratio of their side lengths are equal.

AB : PQ = BC : QR = AC : PR

5 : 45 = 8 : 72 = 6 : x

Take the ratios 8 : 72 = 6 : x

⇒ 8 / 72 = 6 / x

Cross multiplying,

⇒ 8x = 72 × 6

⇒ 8x = 432

⇒ x = 432 / 8 = 54

Hence the side length missing is 54 units.

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Answer:

Exponential decay since the base (0.765) of the exponential is greater than 0 but less than 1.

Answer:

4/20

Step-by-step explanation:

Answer:

Yes

The inequality of the triangle:

[tex]a < b+c,\ b< a+c,\ c<a+b[/tex]

Step-by-step explanation:

[tex]10<3+8[/tex]

[tex]3<10+8[/tex]

[tex]8<10+3[/tex]

The inequality works, therefore these sides can make a triangle

Answer:

1) v = (30 cm)/(0.03 s) = 1000 cm/s = 10m/s

3) The driver is lying. The witness said that the accident happened in a blink of an eye and if the driver was really going at 10 km/hr, he would have only traveled 0.83 m out of the parking lot

Answer:

33 cm

Step-by-step explanation:

Perimeter formula = l + l + w + w, or l x w

Just add all the sides whch equals 33

Answer: 5 cm + 7 cm + 9 cm + 12 cm = 33 cm; Perimeter = 33 cm

Step-by-step explanation:

To find the perimeter of a shape, all you need to do is add up the measure of all the sides.

Answer:

A. Joint in knee

Step-by-step explanation:

There's the articular cartilage on top of the bones in the joint, and the meniscus cartilages that act as shock absorbers between the bones.

Therefore , the solution of the given problem of population is . Sample - The 400 clients that the insurance company included in this study

In common parlance, a population is a distinct group of people who share a common citizenship, identity, or set of traits. A population is a sampling that is typical of a broader group of individuals (or even objects) that share one or more variables characteristics.

Here,

A party promises to reimburse another party in exchange for a fee in the case of a certain loss, damage, or injury as a way of financial loss protection. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.

a. Parameter - The average health care cost each year for all of the insurance company's clients

b. Population - All of the insurance company's clients

c. Sample - The 400 clients that the insurance company included in this study

d. Statistic - The average health care costs each year for the 400 clients that the insurance company included in this study

e. Data - The list of the 400 annual health care costs for the clients that the insurance company includes in the study

f. Variable - The cost each year for health care

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18720-13000=5720

5720÷13000=0.44

Therefore,option A is correct,i.e.,44%

Answer:

Yes

Step-by-step explanation:

A $79 unit plus HST will be 89.27

Answer:

✔ 1

5-foot by 4-foot face(s)

✔ 2

5-foot by 3-foot face(s)

✔ 2

4-foot by 3-foot face(s)

Step-by-step explanation:

EDGE 2021

The faces that must be included are two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

For the pool, we need to consider the four lateral face and the bottom face . (not the top, as it is a hole actually).

So if we have:

Then we have two faces that measure 5ft*3ft = 15 ft², another two faces that measure 4ft*3ft = 12ft², and one face that measures 5ft*4ft = 20ft².

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Answer: With the help of the internet, I've come to the conclusion that √5/3 is irrational. I might be wrong though. Hope this helps.

Step-by-step explanation:

The measure of angle ∠JBC is 56 degrees.

From the question

If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:

m∠ABC = m∠DBJ

Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.

Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:

m∠JBC = m∠ABC + m∠ABJ

Substituting the value for m∠ABC from the first equation into the second equation, we get:

m∠JBC = m∠DBJ + m∠ABJ

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = m∠DBJ + 28

Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:

m∠JBC = m∠ABJ + 28

Substituting the given value of m∠ABJ into this equation, we get:

m∠JBC = 28 + 28

Solving this equation, we find that m∠JBC = 56.

Therefore, the measure of angle ∠JBC is 56 degrees.

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Answer:

38 because the 5 tells the 7 to round up to 8

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:

The answer is 60%

Step-by-step explanation:

The question tells us to find the probability of male sophomore students. From the question we know that the total number of sophomore students are 10 (6 male + 4 female). The probability is # of male student over the total # of sophomore students which is 6/10 = 0.6 now we multiply is it by 100% which gives us 60% (0.6 x 100% = 60%) as our answer.

Answer:

9 ways

Step-by-step explanation:

You use combination to solve anything that deals with selection process.

So pressing 9C8 function on your calculator would give your answer.

Answer:

The answer is B and C

No explanation needed cuz I am sure for my answer

Answer:

0.161459

Step-by-step explanation:

for an approximate result, divide the area value by 929

Answer:

0.16

Step-by-step explanation:

[tex]150~\div~929[/tex] ≈ [tex]0.16[/tex]

The requried other factors of the given function are (x - 2) and (x - 3).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
=  [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)

Thus, the requried other factors of the given function are (x - 2) and (x - 3).

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Answer:

the answer is 7

Step-by-step explanation:

because 7×31=217 so that means she wrote 7 pages each day for 31 days