Determine the angle at the centre of a circle with a radius of 8.0 cm for an arc length of 12.0 cm.
A. 2/3 radians
B. 1/3 radians
C. 3/2 radians
D. 3π / 2 radians

Answer:

B is the answer to this question due to the angle being a 90 degree angle

Answer:

Example Quadrant 3 coordinate value (-2, -2)

Step-by-step explanation:

Coordinates are written (x, y)

Quadrant 1: both x and y are positive values. Example (2, 2)

Quadrant 2: x is negative and y is positive. Example (-2, 2)

Quadrant 3: both x and y are negative values. Example (-2, -2)

Quadrant 4: x is positive and y is negative. Example (2, -2)

Answer:

1. Fala can paint more than one whole step

2. She can paint 3 steps

Step-by-step explanation:

1.  In the second question we found that she has enough for 3 steps and 3 is more than 1 so she can paint more than one step

2. 6/4=12/8 so she has 12/8 quarts and needs 4/8 for each step

Divide 12 by 4 = 3  So she has enough paint for 3 steps

Answer: more than,3

Step-by-step explanation:

We have been an image of a triangular pyramid. We are asked to find the volume of the given pyramid.

We know that volume of triangular pyramid is [tex]\frac{1}{3}b\cdot h[/tex], where,

b = Base area,

h = Height of pyramid.

We can see that base of pyramid a right triangle.

[tex]\text{Area of triangle}=\frac{1}{2}\times\text{Base}\times\text{Height}[/tex]

Now we will find height of base triangle using Pythagoras theorem.

[tex]h^2=30^2-24^2[/tex]

[tex]h^2=900-576[/tex]

[tex]h^2=324[/tex]

[tex]\sqrt{h^2}=\sqrt{324}[/tex]

[tex]h=18[/tex]

[tex]\text{Area of base triangle}=\frac{1}{2}\times24\times 18[/tex]

[tex]\text{Area of base triangle}=12\times 18[/tex]

[tex]\text{Area of base triangle}=216[/tex]

[tex]\text{Volume of triangular prism}=\frac{1}{3}b\cdot h[/tex]

[tex]\text{Volume of triangular prism}=\frac{1}{3}\cdot 216\cdot 30[/tex]

[tex]\text{Volume of triangular prism}=216\cdot 10[/tex]

[tex]\text{Volume of triangular prism}=2160[/tex]

Therefore, the volume of the given prism is [tex]2160\text{ m}^3[/tex] and option B is the correct choice.

Answer:

its B    

Step-by-step explanation:

Answer:

f(x) = sin(x)+4

Answer:

AMY, BMY, BMX

Step-by-step explanation:

its right

Answer:

the second , the second and the first . ( B,B,A)

Step-by-step explanation:

Answer:

the answer is c because i answered it on a test and got it right

Step-by-step explanation:

Answer:

69 weeks

Step-by-step explanation:

Let the number of weeks be x.

The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:

621 - 4x

The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:

828 - 7x

After a certain amount of weeks, the amount of water in both tanks is the same. That means that:

621 - 4x = 828 - 7x

=> 7x - 4x = 828 - 621

3x = 207

x = 207 / 3 = 69

This means that the amount of water in the tank will be the same after 69 weeks.

Answer:

-5 < - 4 is correct

Step-by-step explanation:

I5I > 7 is wrong because I5I < 7

7 < I7I is wrong .  7 = I7I

I-3I > I-4I  is wrong because absolute value is always positive.

So I-3I < I-4I

Answer:

5<-4

Step-by-step explanation:

Answer:

Please include the diagram

Step-by-step explanation:

Answer:

The answer is  24/25

Step-by-step explanation:

Sin (angle) = Opposite leg / Adjacent Leg

Sin (angle) = Y / r

Sin (angle) = 24/25 / 1 = 24/25

The answer is  24/25

Hope this helps

Answer:

6% sales tax

Step-by-step explanation:

48 / 800 = x / 100

What did you do to turn 800 into 100? Divide by 8.

Since we divided the denominator by 8, we also divide the numerator by 8.

48 / 8 = 6

6% sales tax

Final answer:

The percent of the sales tax on an $800 laptop computer with a $48 sales tax is 6%. This is found by dividing the sales tax by the cost of the computer and then multiplying by 100.

Explanation:

To calculate the percent of the sales tax for the laptop computer, you need to follow these steps:

Convert the sales tax amount to a decimal by dividing the sales tax by the cost of the item before tax.

For example: $48 (sales tax) ÷ $800 (cost of the laptop) = 0.06.

Then, convert the decimal to a percentage by multiplying it by 100.

Continuing the example: 0.06 × 100 = 6%.

Therefore, the sales tax rate for the laptop computer is 6%.

Final answer:

To simplify the expression −5x + 8y + 2x − 3y, combine like terms, resulting in −3x + 5y.

Explanation:

To simplify the expression −5x + 8y + 2x − 3y, you want to combine like terms. The like terms are those with the same variable raised to the same power. In this expression, −5x and 2x are like terms, as are 8y and −3y.

Combine −5x and 2x: (−5 + 2)x = −3x

Combine 8y and −3y: (8 − 3)y = 5y

After combining like terms, the simplified expression is −3x + 5y.

Answer:

90 squared is 8,100, and 120 squared is 14,400. So to figure out what c is you do 90^2 + 120^2 = Square Root of 22,500 which is 150.

So c = 150

Step-by-step explanation:

So C=150

hope this helps :D

By using the Pythagorean theorem, we will see that side C measures 150ft.

We can see that side C is the hypotenuse of a right triangle. We know both catheti of said triangle, then we can use the Pythagorean theorem.

It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we have:

A^2 + B^2  = C^2

We know that:

A = 90ft

B = 120ft

Replacing that we get:

√((90ft)^2 + (120ft)^2) = C = 150ft

Then we conclude that side C measures 150ft.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

3x+2y=34

Step-by-step explanation:

L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3

L2 perpendicular to L1 => m2= -1/m1=  -3/2

the point A(8,5) ∈ L2

=> y–yA=m2(x–xA)

L2: y-5=-3/2 *(x-8)

L2: 2y-10=-3x+24

L2: 3x+2y=34

Answer:

a³ - 5a² + 4a + 5

Step-by-step explanation:

To solve this, remove the parentheses.  If you were subtracting the two phrases, you would distribute the negative sign to the second phrase, but you are adding so you will not have to do this

4a - a³ - 3 + 2a³ - 5a² + 8

a³ - 5a² + 4a + 5

Answer:

2.720984 million miles

Step-by-step explanation:

Answer:

0 dollars

Step-by-step explanation:

Answer:

It's geometric

Step-by-step explanation:

You multiply each term by "-3," so the common ratio is -3, making the sequence geometric.

Answer: 6.4 In decimal form.  32/5 in fraction form.

Step-by-step explanation:

So first times 8 by 12 which is 96

then, 3 times 5 which is 15

Simplify to 32/5

Answer: 32/5

Step-by-step explanation: When multiplying two fractions together, remember that we can cross-cancel.

In this problem the 12 and 3 reduce to 4 and 1.

So we have 8/1 · 4/5.

Next we simply multiply across the numerators and multiply across the denominators and we have our answer which is 32/5.

Answer:

see explanation

Step-by-step explanation:

Any point with an x- coordinate of 5 will lie on the line, that is

(5 , - 2), (5, 0), (5, 10)

since 5 - 5 = 0 makes the equation true

Answer:

16 years old

Step-by-step explanation:

got it right on edge 2020.

Please mark as Brainliest

Please say thank you.

Answer:

37.7cm

Step-by-step explanation:

Answer:[tex]12\pi[/tex]

[tex]12\pi[/tex]

Step-by-step explanation:

The formula is: [tex]C= 2\pi r[/tex]

Diameter is the same has 2r, r being the radius.

To help remember: Cherry Pies ([tex]\pi[/tex]) Are (r) Too.

Answer:

D) $0.15

Step-by-step explanation:

If you do 0.15 times 40 messages, you get $6

Answer:

Your answer is A!

Step-by-step explanation:

Have a great day!

The measure of ∠ABC  is 85 degrees from intersecting chords theorem.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the measure of ∠ABC.

The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle.

∠ABC  = 1/2 (130+40)

∠ABC  = 1/2(170)

Divide 170 by 2

∠ABC  = 85 degrees.

Hence, the measure of ∠ABC  is 85 degrees from intersecting chords theorem.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ7

Answer:

The correct answer is [C.) 0.04r + 5.00}

Step-by-step explanation:

hope this hlps

Answer:

[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]  

And rounded up we have that n=31

Step-by-step explanation:

First we need to find the critical value for the margin of error desired. The confidence level is 0.95 so then the significance is [tex]\alpha=1-0.95=0.05[/tex] and the critical value for this case would be:

[tex] z_{\alpha/2} =\pm 1.96[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.09[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

The estimated proportion for this case is [tex]\hat p =0.93[/tex]. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.93(1-0.93)}{(\frac{0.09}{1.96})^2}=30.875[/tex]  

And rounded up we have that n=31

Answer:

See below.

Step-by-step explanation:

ABC is an isosceles triangle with BA = BC.

That makes angles A and C congruent.

ABD is an isosceles triangle with AB = AD.

That makes angles ABD and ADB congruent.

Since m<ABD = 72 deg, then m<ADB = 72 deg.

Angles ADB and CDB are a linear pair which makes them supplementary.

m<ADB + m<BDC = 180 deg

72 deg + m<BDC = 180 deg

m<CDB = 108 deg

In triangle ABD, the sum of the measures of the angles is 180 deg.

m<A + m<ADB + m<ABD = 180 deg

m<A + 72 deg + 72 deg = 180 deg

m<A = 36 deg

m<C = 36 deg

In triangle BCD, the sum of the measures of the angles is 180 deg.

m<CBD + m<C + m<BDC = 180 deg

m<CBD + 36 deg + 108 deg = 180 deg

m<CBD = 36 deg

In triangle CBD, angles C and CBD measure 36 deg making them congruent.

Opposite sides DB and DC are congruent making triangle BCD isosceles.

Answer:

B.) 0.00149, 0.0104, 0.0108, 0.0118, 0.013

Step-by-step explanation:

The more decimal places, the lower the number.