△ABC ≅ △EDF.

Determine the value of x.

Answer:

I can't really see the whole question, but for a cone the volume formula is πr2h

3

Step-by-step explanation:

Answer:

3/16

Step-by-step explanation:

In order to get the amount of water to fill a bin, we just divide the amount of water by the fraction of the bin it fills. This makes the unit of the resulting answer as gallons/bin or gallons per bin.

Answer:

192 m^2.

Step-by-step explanation:

We can split this up into 3 rectangles:

Area of the bottom rectangle = 27 * (9-3)

= 27 * 6 = 162 m^2.

Area of rectangle on the left = (18-6)*2

= 24 m^2

Area of small rectangle on the right = 3*2

= 6 m^2

Total area = 162+24+6

192 m^2.

Answer:

first one is a=25

second one is b=14

Step-by-step explanation:

Step-by-step explanation:

a)a=25

b)b=14

..................

The scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

To find the scale factor of a prism to another prism, you need to compare the corresponding dimensions of the two prisms. For example, if you have a rectangular prism with dimensions of 4 cm x 3 cm x 5 cm and another rectangular prism with dimensions of 8 cm x 6 cm x 10 cm, you can compare the lengths, widths, and heights to find the scale factor.
To do this, you can divide the corresponding dimensions of the larger prism by the corresponding dimensions of the smaller prism. In this example, the scale factor would be:
Length: 8 cm ÷ 4 cm = 2
Width: 6 cm ÷ 3 cm = 2
Height: 10 cm ÷ 5 cm = 2
Therefore, the scale factor from the smaller prism to the larger prism is 2. This means that the larger prism is twice as large as the smaller prism in all dimensions.

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Answer:

its 6x+27

Step-by-step explanation:

The approximate radius of the sundial is 509 centimeters.

To find the approximate radius of the sundial, we can use the formula for the circumference of a circle:

C = 2πr

Where C is the circumference and r is the radius. We know that the length of the edge is approximately 8 meters, which corresponds to a 90° arc measure.

The circumference of a full circle (360°) is given by:

C_full = 2πr

The circumference of a 90° arc is a quarter of the full circumference:

C_90 = (1/4) * C_full = (1/4) * 2πr

Since we know that C_90 is approximately 8 meters, we can set up the equation:

(1/4) * 2πr = 8

To solve for r, we can isolate it:

2πr = 8 * 4

2πr = 32

r = 32 / (2π)

r ≈ 5.09 meters

Converting this to centimeters, we get:

r ≈ 509 centimeters

Therefore, the approximate radius of the sundial is 509 centimeters (rounded to the nearest whole centimeter).

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Answer: i thought that i knew the awnser but it was wrong sorry

Step-by-step explanation:

The combined volume is:

The volume of the rectangular prism is:

The volume of a cylinder is:

Then, the combined volume is:

Turn into inches:

Then, the volume in inches is 12,223,047 cubic inches (200.3 cubic meters)

Answer:

85 gallons a day.

Step-by-step explanation:

that's if you mean 2,550 and how many gallons a day you fill a pool for example. but that's a guess for the question.

Answer:

Step-by-step explanation:

x^2 + x

x(x + 1)

x is GCF

Answer:

B. a>b

Step-by-step explanation:

a is the higher number line beacuse it is farthter right than b. so a>b

Answer:

8n³ + 3n² + 8

Step-by-step explanation:

To find the sum of the two polynomials, we can simply add the corresponding terms:

(-5n^4 + 8) + (5n^4 + 8n³ + 3n²)

Combine the like terms:

(-5n^4 + 5n^4) + 8n³ + 3n² + 8

The -5n^4 and 5n^4 terms cancel each other out:

0 + 8n³ + 3n² + 8

So the expanded polynomial in standard form is:

8n³ + 3n² + 8

The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a

The given parameters in the question are:

f(x) = x^2 + 7x and

x = a as in f(a)

This means that the equation of the function f(x) is given as:

f(x) = x^2 + 7x

To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.

This means that we set x to a in the equation of the function f(x) = x^2 + 7x.

So, we have;

f(a) = a^2 + 7a

The above equation cannot be further simplified or expanded

So, we conclude that

Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a

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The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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The capacity of the container is equal to 7.6 × 10⁻³ kiloliters.

This is a unit conversion question, in which we need to determine how many kiloliters are equivalent to the capacity of a container.

According to capacity tables, a cubic decimeter or 1000 cubic centimeters equals a liter. Then, we can determine the number of kiloliters by using the following cross multiplication:

x = 7.6 dm³ × (1 L / 1 dm³) × (1 kL / 1000 L)

x = 7.6 × 10⁻³ kL

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The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. =  Speeding, cutting off others etc.. It also didn't tell how  much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the  previous testers have any reason to skew the study? Did they own stock in the third light business?  Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting.  How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.

The assumption in answering the question is that no student scored 0

From the question, we have the following parameters that can be used in our computation:

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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Answer:

<1 = 33

Step-by-step explanation:

The sum of the angle of a triangle is 180

31+116+x = 180

x+147=180

x = 180-147

x = 33

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

To find the rate at which the light projected onto the wall is moving along the wall, we can use trigonometry and calculus. Let's denote the angle between the rotating light and the wall as θ.

Given:

Distance from the light to the wall, r = 15 feet

Rate of rotation, dθ/dt = 1 rotation every 4 seconds

We need to find the rate at which the light's projection moves along the wall, which is represented by dx/dt.

Using trigonometry, we know that the tangent of the angle θ is equal to the ratio of the distance along the wall (dx) to the distance from the light to the wall (r).

tan(θ) = dx / r

Differentiating both sides of the equation with respect to time t, we get:

sec^2(θ) * dθ/dt = dx/dt

Since we are given that the angle θ is 15 degrees, we can substitute the values and solve for dx/dt.

sec^2(15°) * (1 rotation / 4 seconds) = dx/dt

Simplify and calculate the value to find the rate at which the light's projection moves along the wall in feet per second.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The expression that illustrate the diagram below is f(x) = 47-2x

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

In the diagram, the total no of box is 45 and 2 boxes are missing on the second box. Therefore the constant in the the expression is 45+2 = 47. Let x be the variable.

Therefore f(x) = 47-2x

when it is pattern 1

x= 1

f(1) = 47-2 = 45

when it's pattern 2

f(x) = 47-2×2 = 43

when it's pattern 3

f(x) = 47- 2×3 = 41

therefore the expression that can illustrate the diagrams is f(x) = 47-2x

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Using sine rule and cosine rule, the value of angle d, e and f are 60.77, 59.39 and 59.78 degrees

To find the values of the angles, we need to use cosine rule and sine rule.

Since we have 3 sides and no angle, we have to use sine rule first.

d² = e² + f² - 2(e)(f)cos(d)

substituting the values into the equation;

6.1² = 6.02² + 6.04² - 2(6.02)(6.04)cos(d)

37.21 = 36.24 + 36.48 - 72.72cos(d)

72.72cos(d) = 72.72 - 37.21

72.72cos(d) = 35.51

cos (d) = 35.51 / 72.72

d = 60.77°

Using sine rule;

d / sin D = e / sin E

6.1 / sin(60.77) = 6.02 / sin E

sin E = 6.02 * sin (60.77) / 6.1

E = 59.45°

d + f + e = 180 degree

reason: sum of angle in a triangle is equal to 180

60.77 + 59.45 + f = 180

f =  59.78°

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Ans: x°= 48°

pa brainliest po thanks

Answer:

Step-by-step explanation:

ABC = 180° - 114° = 66°

x = 180 - 66 - 66 = 48°

Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer:

x > -2

Step-by-step explanation:

B/c the sign is  > it will be an open circle

B/c the sign is  > it will be an infinity line

Also, use math-way, it'll help u with everything