diagram 9 shows a piece of floor tiles centre at O

Answer:

  160 in²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . base length b, height h

Here, the triangle has a base length of 32 in, and a height of 10 in. Its area is ...

  A = 1/2(32 in)(10 in) = 160 in²

Answer:

1,536

Step-by-step explanation:

3,200×52%=1,664

3,200-1,664=1,536

Answer:

1,536

Step-by-step explanation:

Total students = 3,200

Percentage of boys = 52%

Percentage of girls = (100 - 52) % = 48%

No of girls enrolled in the school

= 48% of 3200

= 0.48 * 3200

= 1,536

Answer: 48 more monthly payments

Step-by-step explanation:

Answer:

jamal traveled 5 hours at 55mph and 4 hours at 60mph

Step-by-step explanation:

time x will be time jamal travels 55 mph (in hours)

time y will be time jamal travels 60 mph (in hours)

distanced traveled 520 miles

distance = time*speed

520= x*55+y*60

520=55x+60y

jamal traveled for 9 hours

9 hours is composed to the two times x and y

9=x+y

then

x=9-y

substitute into 520=55x+60y

520=55(9-y)+60y

520=495-55y+60y

520=495+5y

25=5y

y=5

x+y=9

x+5=9

x=4

time x is time jamal travels 55 mph (in hours)

time y is time jamal travels 60 mph (in hours)

jamal traveled 5 hours at 55mph and 4 hours at 60mph

Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Set up the equation to determine the arc length. Arc length is equal to 2 pi times the arc's radius times (arc's central angle/360), where arc's central angle is expressed in degrees.

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Answer:

d

Step-by-step explanation:

. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.

Answer:

D

Step-by-step explanation:

The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:A

Step-by-step explanation:

Good luck on the exam!

Answer:

Choice A

Step-by-step explanation:

You would want to subtract the total amount you start with by the amount you need

The raise Leah gets each year is $2500

The table represents the given parameter

From the table, we have the following ordered pairs

(1, 67500)  and (3, 72500)

The raise she gets each year is then calculated using the following slope equation

Raise = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 67500)  and (3, 72500)

Substitute the known values in the above equation

So, we have the following equation

Raise = (72500 - 67500)/(3 - 1)

Evaluate

Raise = 2500

Hence, the raise is 2500

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Answer:

It's the Ujarati Digit Four

I hope this helps!

The common difference is 0.1

The common ratio of the given sequence is determined by dividing a term by it's preceding term.

That is:

7/70 or 0.7/7 or 0.07/0.7, ... = 0.1

The values are 1) ∠NSR = 118° and 2) x = 15.

Given are circles we need to solve for asked measurements using the properties of a circle,

Properties of a circle:

1) ∠NSR = 1/2[m arc QP + m arc NR]

∠NSR = 1/2[50 + 186]

∠NSR = 118°

2) m arc VX = 360° - m arc VXY

m arc VX = 360° - 280°

m arc VX = 80°

Now,

∠UVX = 1/2 arc VX

3x-5 = 1/2 × 80°

3x-5 = 40

3x = 45

x = 15

Hence the values are 1) ∠NSR = 118° and 2) x = 15.

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Answer:

94cm

Step-by-step explanation:

The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

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let's firstly convert the mixed fractions to improper fractions and them simply get their product, since the package is just a rectangular prism, its volume will just be width * length * height, and we have all those.

\(\stackrel{mixed}{8\frac{3}{4}}\implies \cfrac{8\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{35}{4}} ~\hfill \stackrel{mixed}{2\frac{6}{7}}\implies \cfrac{2\cdot 7+6}{7}\implies \stackrel{improper}{\cfrac{20}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{4}\cdot \cfrac{20}{7}\cdot 5\implies \boxed{125}\)

Answer:

43

Step-by-step explanation:

if EF(part) = 18 and DF(the whole line) = 61

61-18 is 43. 43=DE

Please give brainliest thanks

Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.

Let:

l = length of the rectangle

w = width of the rectangle

"The length of a rectangle is nine more than triple the width" can be translated as:

l = 9 + 3w

perimeter = 2 l + 2w

Substitute perimeter = 98 and  l =  9 + 3w into the perimeter equation:

98 = 2 x (9 + 3w) + 2w

98 = 18 + 8w

8w = 98 - 18

8w = 80

w = 80/8 = 10 inch.

Substitute w = 10 into the length equation:

l = 9 + 3w

l = 9 + 3 x 10

l = 9 + 30 = 39

Therefore the correct answer is:

The width is _10_inches. The length is 39 inches.

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Answer:

a) 293 units

b) 5795p

Step-by-step explanation:

First, determine how many units used

Take the new reading and subtract the old reading

6538 - 6245

293 units

The first 200 is at 22p

200 * 22 p =4400p

293 -200 = 93 units at the remaining unit price.

93 * 15 p =1395p

Add the two totals together

4400p + 1395p =5795p

Answer:

Step-by-step explanation:

Finding the line using the points:

The equation:

The slope is:

So the line is:

As per the graph the line is dotted and the shaded area is above the line,. so the inequality is:

Hope this help!!!

Have a nice day!!!

Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

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Answer:

40

Step-by-step explanation:

P=2(l+w)

2·(10+10)

          =40

Using it's concept, the standard deviation of the data is of 3.742.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

\(S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742\)

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Answer: x> 38

Step-by-step explanation:

The best way to find the answer is to solve for x. To start you would add 38 and 39, getting 77, then subtract that from 180 to get the last angle in the triangle, 103. Finally, you would subtract 103 from 180, getting 77, to get x. The only thing you need to do now is to look at all of the answers and figure out which one makes sense for the answer you got. You know it can't be x<77 because it doesn't have the or equal to sign. You know it can't be x>103 because 77 is lower than 103. You know it can't be x<39 because 77 is greater than 39, so the answer has to be x > 38. (this was copy'd n pasted from another question that is the exact same.)
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Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

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