what is the square root of r^64?
a. r^4
b. r^8
c. r^16
d. r^32

Answer:

C) 26 blocks

Step-by-step explanation:

For the firs one draw a dot where they start. Then draw a line going down and label it 10. Next draw a line going left and label it 24. Connect the end of those who lines to form a triangle. Now we can use the pythagorean theory.

a^2 + b^2 = c^2

a^2= side one (you choose)

b^2= side two (whichever side you didn't use out of the two)

c^2= the hypotenuse( this is the diagonal line you drew connecting the two lines at the end)

10^2 + 24^2 =c^2

100 + 576 =c^2

676=c^2     Since the C is still squared we have to squareroot both sides. This will cancel oout the ^2 on the C.

[tex]\sqrt{676} =\sqrt{c^2}[/tex]   Solve.

26=c

Answer:

Step-by-step explanation:

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 34, 36, 72.

Common factors: 1, 2, 3, 6, 18.

18 is the greatest common factor.

GCF = Greatest common factor.

Answer:

The GCF of 90 and 72 is 18.

Step-by-step explanation:

All factors of 90: 1,2,3,5,6,9,10,15,18,30,45 and 90.

All factors of 72: 1,2,3,4,6,8,9,12,18,24,36 and 72.

All common factors of 90 and 72: 18, 9, 6, 3, 2, and 1.

The greatest common factor: 18.

Hopefully this helps!

Answer:

78.

Step-by-step explanation:

13/2=6.5

6.5X12=78.

78/2=39

39X2=39. You times it by 2 because there are two equivalent sides.

Answer:

8.9

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Let the number be y

Add 5 to me

Y+5............equ1

Divide by 7

Y+5/7

Add 12

Y+5/7+12

Subtract 7

(Y+5)/7+(12-7)=10

12-7=5

Substitute

(Y+5)/7+5=10

Find the lowest common multiple

((Y+5)+7(5))/7=10

(Y+5)+35)/7=10

Cross multiply

Y+5+35=70

Y+40=70

Y=70-40

Y=30

The unknown number is 30

Answer:

The kitchen has a length of 10 meters and a width of 7 meters.

Step-by-step explanation:

10x7=70 meters squared

10+10+7+7=34 meters

Answer:

help with what

Step-by-step explanation:

Answer:

What do you want help with?

Step-by-step explanation:

Answer:

1 :2

Step-by-step explanation:

18 oranges

12 bad

-------

6 good

good: bad

6      :12

Divide each by 6

6/6    : 12/6

1 :2

The ratio of good oranges to bad oranges is 1:2.

To find the ratio of good oranges to bad oranges in a bag containing 18 oranges, where 12 oranges have gone bad, follow these steps:

Determine the number of good oranges:

Find the ratio of good oranges to bad oranges:

Simplify the ratio:

Using the Pythagorean theorem, the diagonal distance from one corner pocket to the diagonally opposite corner pocket on an 8 foot by 4 foot pool table is about 8.94 feet.

To determine the distance from one corner pocket to the diagonally opposite corner pocket on a pool table, we can use the Pythagorean theorem because the pool table forms a rectangle and the diagonal forms a right triangle with the length and width of the table. Given the dimensions of the pool table as 8 feet long and 4 feet wide, we can label these as the two sides of the right triangle.

The Pythagorean theorem states that for a right triangle with sides of lengths a, b, and hypotenuse c, the relationship between these sides is [tex]a^2 + b^2 = c^2[/tex]. Substituting the given values, we have:

Therefore, the diagonal distance from one corner pocket to the diagonally opposite corner pocket is about 8.94 feet.

Answer:

$882.24 compound interest earned / $1,082.24 total

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

[tex]P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Now lets plug in the values into the equation.

[tex]200(1+\frac{.325}{1} )^{6}[/tex] = 1,082.24

Since we want to know the compound interest earned, just subtract 200 from 1,082.24.

1,082.24 - 200 = $882.24

Answer:

42

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

cos(x) is just a trigonometric function. To find it on a right triangle, you take the "adjacent" side, which should be the side next to the angle x, and divide it by the hypotenuse.

In this case, the adjacent side is 12. We don't know the hypotenuse, but we can figure it out using the Pythagorean Theorem: [tex]\sqrt{9^{2}+12^{2}}[/tex] = [tex]\sqrt{225}[/tex] = 15. So, the hypotenuse is 15.

Thus, cos(x) = 12/15 = 4/5. We want 30 * cos(x), so we get: 30 * (4/5) = 24, and that is our answer.

Answer:

24

Step-by-step explanation:

From the mnemonic SOHCAHTOA you would know that cos x = adjacent/hypotenuse.

Adjacent side is given as 12, but we must calculate the hypotenuse.

For that we use Pythagoras.

hypotenuse = √(9²+12²) = 15

Now you can calculate

30×cos(x) = 30×12/15 = 24

Answer:

D. 2(6x + 5+ 2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2(6x+5+2y)

Answer:

volume = 179.59

please give this the brainliest!!

Step-by-step explanation:

formula = V=4/3πr3

4/3·π·3.5^3

≈179.59438

Answer:

option 1 the pattern is +3 so 7+3 = 10

Step-by-step explanation:

The measure of angle B in triangle ABC is 63.9°. Hence, Bethany has done a mistake in step 2.

Given that, in the triangle ABC, AC=4.1 cm, AB=4.5 cm and BC=2.7 cm.

We need to find the measure of angle B.

The trigonometric function to find the angle in the triangle is b²=a²+c²-2ac cosB.

Now, (4.1)²=(4.5)²+(2.7)²-2×4.5×2.7 cosB.

⇒16.81=20.25+7.29-24.3 cosB

⇒16.81-27.54=-24.3 cos B

⇒cos B=0.44

⇒B=63.9°

The measure of angle B in triangle ABC is 63.9°. Hence, Bethany has done a mistake in step 2.

To learn more about the angles of a triangle visit:

https://brainly.com/question/27682397.

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Answer:

B. Bethany took the square root of each squared term before isolating cosB and solving for B.

Step-by-step explanation:

took the quiz

Answer:12 secondes

Step-by-step explanation:48 seconds/ 4 people= 12 second

Answer:

12

Step-by-step explanation:

all you do is divide 48 by 4 to get 12

Answer:

362880 ways

Step-by-step explanation:

In this case, the order does matter therefore to know how many ways it can be aligned, we must resort to permutations.

The formula for permutations is:

P = n!

we know that there are 9 trumpet players, therefore:

P = 9!

P = 362880

So there are 362,880 ways to line up

Answer:

Sum=24

Mean=8

Step-by-step explanation:

To find the sum of all the numbers you simply would do 8+7+9.

That is 24.

When finding mean you add up all your numbers then divide by the total number of number (I know that sounds a bit confusing. In this case there are only 3 numbers, so that is the one you will use for dividing)

Your equation would look like this

24

_

3

Once you divide you should get 8 as your mean or average in other terms.

Answer:

No he does not

Step-by-step explanation:

158 / 60 = 2.63

which is about a 3 hour long movie.

Answer:

  4 +2n

Step-by-step explanation:

Tynessa has colored 4 red blocks in each figure. The number of blue blocks in each figure is the same as the figure number in both the top and bottom rows. That is, the total number of blue blocks is 2 times the figure number.

If the figure number is n, Tynessa might write the pattern rule as ...

  number of blocks = 4 + 2n

This graph represents function of y = 3x²+7x+2, which is correct option(D).

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

Given function, y = 3x²+7x+2

Compare the given function to f(x) = ax² + b x + c ,

The graph of given function is upward (or opens up) because the value of 3 is more than 0, 3 > 0.

The x-intercept of given function are (-1/3, 0) and (-2,0)

The y-intercept of given function is (0,2)

Here is a graph represents function of y = 3x²+7x+2

Learn more about parabola here:

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The correct option is A. Graph A. It shows an upward-opening parabola with a vertex and y-intercept that match the derived values.

1. Direction of the Parabola : Since the coefficient of [tex]\( x^2 \)[/tex] (which is [tex]3[/tex]) is positive, the parabola opens upwards.

2. Vertex : The vertex of a parabola in the form [tex]\( y = ax^2 + bx + c \)[/tex] can be found using the formula for the x-coordinate of the vertex, [tex]\( x = -\frac{b}{2a} \)[/tex]

For the given function:

[tex]\[ a = 3, \quad b = 7 \][/tex]

So,

[tex]\[ x = -\frac{7}{2 \times 3} = -\frac{7}{6} \][/tex]

Next, we find the y-coordinate of the vertex by plugging [tex]\( x = -\frac{7}{6} \)[/tex] back into the equation:

[tex]\[ y = 3\left(-\frac{7}{6}\right)^2 + 7\left(-\frac{7}{6}\right) + 2 \][/tex]

Let's compute that:

[tex]\[ y = 3 \times \frac{49}{36} - \frac{49}{6} + 2 \][/tex]

[tex]\[ y = \frac{147}{36} - \frac{294}{36} + \frac{72}{36} \][/tex]

[tex]\[ y = \frac{147 - 294 + 72}{36} \][/tex]

[tex]\[ y = \frac{-75}{36} \][/tex]

[tex]\[ y = -\frac{25}{12} = -2.083 \][/tex]

Thus, the vertex is approximately at [tex]\(\left( -\frac{7}{6}, -\frac{25}{12} \right)\)[/tex]

3. Y-Intercept : This is the value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]

[tex]\[ y = 3(0)^2 + 7(0) + 2 = 2 \][/tex]

The graph should cross the y-axis at [tex]\( y = 2 \)[/tex]

Now, let's compare these features with the provided graphs:

The parabola should open upwards.

The y-intercept should be [tex]2[/tex].

The vertex should be approximately at [tex]\( \left( -\frac{7}{6}, -\frac{25}{12} \right) \)[/tex]

The complete question is

Which of the following graphs is described by the function given below? y=3x^2+7x+2

A. Graph A

B. Graph B

C. Graph C

D. Graph D

Answer:

70

Step-by-step explanation:

Set up a system:

C + A = 105

C = 2A

Substitute:

3A = 105

A = 35

C = 70

Answer:

70 children 35 adults

Step-by-step explanation:

X= children

Y=Adults

x+y=105

1/2x=y

x+y=105

1/2x-y+0

x+y+105

x-2y=0

3y=105

y=35

x+35=105

x=70

Answer:

The angles are adjacent. x=20

Step-by-step explanation:

The angles should add up to 180 because they are supplementary.

7x+x+20=180

8x+20=180

180-20=160

8x=160

x=20

Answer:

The value of the given expresion is zero.

Step-by-step explanation:

I am assuming that, your exprssion is

[tex] {( - 1)}^{r} + 1[/tex]

where r is an integer greater than 1.

Let us see what a negative base 1 to an off exponent give us:

[tex] {( - 1)}^{1} =-1[/tex]

[tex] {( - 1)}^{3} =-1[/tex]

[tex] {( - 1)}^{5} =-1[/tex]

[tex] {( - 1)}^{7} =-1[/tex]

If r is odd, then

[tex] {( - 1)}^{r} = - 1[/tex]

This implies that:

[tex] {( - 1)}^{r} + 1 = - 1 + 1 = 0[/tex]

The value of the given expresion is 0.

Answer:

c

Step-by-step explanation:

The points that show the triangle when it is translated two units down are (2, 3) (0, 1), and (2, 1).

A function, f, that maps to itself are known as a transformation, or f: X- X. The pre-image X becomes the picture X following the transformation. This transformation can use any operation, or a combination of operations, including translation, rotation, reflection, and dilation. Translation, rotation, reflection, and dilation can all be used to move a function in one direction or another.

Given that the initial coordinate of triangles ABC are at points

(2, 1), (0, -1), (2, -1).

The coordinate base of the triangle must be (2, 1) and (2, -1)

When the triangle is translated two units down.

2 will be added to all its y coordinates. While the x coordinate remains the same

The new coordinate will be

(2, 2+1), (0, 2-1), (2, 2-1)

(2, 3) (0, 1) and (2, 1)

Hence the new coordinates are (2, 3) (0, 1), and (2, 1).

Learn more about transformations;

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The complete question is,

The triangle on the grid will be translated two units down. On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1). Which shows the triangle when it is translated two units down

Answer:

3 < s

Step-by-step explanation:

−4>−4/3s

Multiply each side by -3/4 to isolate s.  Remember to flip the inequality since we are multiplying by a negative

-4 * -3/4 < -4/3s * -3/4

3 < s

Answer: $1.25:1yd

Step-by-step explanation:

Take 10 and divide it by 8, which should give you 1.25.

This is the answer, the ratio of dollars to yard of fabric is $1.25 per 1 yard of fabric.

To check this, simply multiply both sides by 8 and you should get the original ratio of $10 for 8 yards of fabric.

Answer:

0.14285714285

Hope this helps :)

Step-by-step explanation:

Answer:

.1428

Step-by-step explanation:

1/3 times 3/7= .1428