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Answer:

Step-by-step explanation:

<1+<2=90 complementary

<1=4 times <2

X+4x=90

5x=90

X=18

<1=18×4=72 degrees

<2=18 degrees

<1=<3 because they are vertical

Do <3= 72

<3+<4=180 because they are supplementary

72+<4=180

<4=108 degrees

<3=72 degrees

Answer with Step-by-step explanation:

We are given that

20%

When we change percent into fraction we will divide the percent by 100

[tex]\frac{20}{100}=\frac{1}{5}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex]

We have to find the line which shows the correct placement of given numbers.

Lcm(3,5)=15

[tex]\frac{1\times 3}{5\times 3}=\frac{3}{15}[/tex]

[tex]\frac{1\times 5}{3\times 5}=\frac{5}{15}[/tex]

[tex]\frac{2\times 5}{3\times 5}=\frac{10}{15}[/tex]

Answer:

$100.647

Step-by-step explanation:

Diameter = 45ft

Radius = diameter / 2 = 45 / 2 = 22.5ft.

1 gallon of paint covers 300ft²

1 gallon cost $18.99

The total area of the mural = πr² (since it's circular and area of a circle = πr²)

Area = πr²

Area = 3.14 * (22.5)²

Area = 1589.625ft²

The total area of the mural = 1589.625ft²

1 gallon of paint covers 300ft²

X gallons of paint will cover 1589.625ft²

Making x the subject by cross multiplying

X = (1 * 1589.625) / 300

X = 5.29875 gallons.

5.3 gallons will be required to paint 1589.625ft²

But 1 gallon costs = $18.99

5.3 gallons will cost $ y

y = (5.3 * 18.99) / 1

y = $100.647

Damari will spend $100.647 to paint the mural.

Answer:

The answer is D, the distance formula.

Step-by-step explanation:

The distance formula on answer choice D is how you find the distance between two points.

Answer: 10.9697% increase

Hope this helped

The simple interest will be 18$

[tex]a=4.1-4.5=-0.4\\b=7.2-7.05=0.15[/tex]

The values of a and b are,

⇒ a = -0.4 and b = 0.15

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.

i.e. Residual value = given value - predicted value

From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.

Therefore, We get;

a = 4.1 - 4.5

a = -0.4

Similarly, the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.

Therefore, We get;

b = 7.2 - 7.05

b = 0.15

Therefore, a = -0.4 and b = 0.15

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Answer: 7 hours to make $154.

Step-by-step explanation: First we want to know how much Dan makes in 1 hour of work. To do this simply divide 242 by 11. 242/11 = 22, or $22 per hour of work.

T find how many hours he would have to work to make $154, simply divide 154 by 22. 154/22 = 7, or 7 hours of work.

So, Dan will have to work 7 hours to make $154.

Final answer:

Dan earns $22 per hour, so to make $154, he would need to work for 7 hours at that same rate.

Explanation:

Dan made $242 for 11 hours of work. To calculate the rate of pay per hour, we would divide $242 by 11 hours, which gives us a rate of $22 per hour. The question asks how many hours Dan would need to work to make $154 at the same rate. To find this, we divide $154 by the hourly rate of $22.

$154 ÷ $22 per hour = 7 hours

Therefore, Dan would have to work for 7 hours to make $154 at the same rate of pay.

Answer:

V = 9,792 cm

Step-by-step explanation:

hope that i helped!

Answer:

B) 9792

24*12*34

Answer:

[tex]y+5.2<23[/tex]

Step-by-step explanation:

Add y and 5.2 and use the less than symbol < to show that 23 is greater than the sum of y and 5.2.

If you have trouble remembering the directions of < > and what they mean, my teacher taught me that the alligator wants more food. The "mouth" opens towards the biggest value.

Step-by-step explanation:

Gievn, the diameter of a cake is 12 cm

Radius of the cake = 6 cm

area of one slice = 4π [tex]cm^{2}[/tex]

in terms of π how many full slices can you cut out of the cake = ?

Area of the cake = area of the circle = π[tex]r^{2}[/tex] = π[tex](6)^{2}[/tex] = 36 π

Area of n slices = area of the cake

(4π ) n = 36 π

n = 9

In terms of π 9 full slices can be cut out of the cake.

Answer:

9 full slices can be cut out of the cake.

Step-by-step explanation:

Answer:

0.0995328 OR 7776 /78125

It's okay to be a little lost. When I have exponents and all this "fun" stuff, I use Desmos graphing calculator. It will help you GREATLY. Let me know if you wan the link...

Answer:

.

Step-by-step explanation:

Answer:

The values of x and y are x = 25 and y = 18

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle subtended by it

In circle W

∵ W is the center of the circle

∵ m∠QWS = 90°

∵ ∠QWS is subtended by arc QS

- Use the rule above

∴ m∠QWS = m arc QS

∴ m arc QS = 90°

∵ m arc QS = m arc QR + m arc RS

∵ m arc QR = (x + 11)°

∵ m arc RS = (3y)°

- Add them and equate the answer by 90

∴ (x + 11) + (3y) = 90

- Subtract 11 from both sides

∴ x + 3y = 79 ⇒ (1)

∵ VT passes through W

∴ VT is a diameter in circle W

- Diameter divides the circle into two equal arcs the measure

   of its arc is 180° because the measure of the circle is 360°

∴ m arc VQRST is 180°

∵ m arc QRS = 90°

∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST

- Substitute the measures of arc VQRST and QRS

∴ 180 = m arc VQ + 90 + m arc ST

- Subtract 90 from both sides

∴ 90 = m arc VQ + m arc ST

∵ m arc VQ = (y + 7)°

∵ m arc ST = 65°

∴ 90 = (y + 7) + 65

- Add like terms in the right hand side

∴ 90 = y + 72

- Subtract 72 from both sides

∴ 18 = y

Substitute the value of y in equation (1) to find x

∵ x + 3(18) = 79

∴ x + 54 = 79

- Subtract 54 from both sides

∴ x = 25

The values of x and y are x = 25 and y = 18

Answer:

sdfghj

Step-by-step explanation:

idekkk

Answer:

A

Step-by-step explanation:

The tangent of 4/20 is 0.20271 and u round to the 4th digit

Answer:

units

Step-by-step explanation:

I had this question on flocabulary.

We divide the number line into intervals to understand how far we need to move left or right when solving equations. This division into intervals creates a physical representation that helps visualize calculations and absolute differences between numbers.

We divide the number line into intervals so we know how far to move left or right when doing equations. For understanding, let's consider an example. If we're working with whole numbers and the number line is divided into single-unit intervals, moving to the right from 0 to 5 means we've added 5 to our original number. Similarly, moving to the left of 0 to -5 means we've subtracted 5 from our original number.

The division of the number line helps to visualize the calculation process and see physical representation of absolute differences between numbers. For example, if we make the distance between each interval equal to one unit, the distance between 1 and 3 on the number line is 2 units, which corresponds to the absolute difference between these numbers.

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The point which is not on the graph is (12, 10)

Using the equation given :

Comparing each point:

y = 1.2(0)

y = 0 (correct)

b.)

y = 1.2(2)

y = 2.4 (correct)

c.)

y = 1.2(4)

y = 4.8 (correct)

d.)

y = 1.2(10)

y = 12 (Incorrect)

The point which is not on the graph is (12, 10)

Answer:

I think it's answer is 0. in case of constant polynomials

Answer:

your answer would be 8.1 g/ cm3

Step-by-step explanation:

hope this helps you.

Answer:

33 cm per year

Step-by-step explanation:

I've already answed this question in the post:

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Consider the given function:

[tex]h(t)=210+33t[/tex]

From the linear function, 210 is the height of the tree from when Renata moved to her new home, and 33 states that the tree grows 33 cm per year.

So "How fast does the tree grow?"

The tree grows 33 cm per year.

Answer:

x^2 + y^2 - 6x  - 10y + 30 = 0.

Step-by-step explanation:

In factor form the general equation is:

(x - h)^2 + (y - k)^2 = r^2 where  (h, k) is the centre and r = the radius.

So here we have:

(x - 3)^2 + (y - 5)^2 = 4.

Converting to Standard Form:

= x^2 - 6x + 9 + y^2 - 10y + 25 = 4

x^2 + y^2 - 6x  - 10y + 9 + 25 - 4 = 0

x^2 + y^2 - 6x  - 10y + 30 = 0.

Answer: a.5

Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

jog time = walk time

13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.

The length of 'w' is approximately 73 cm.

To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:

w^2 = x^2 + y^2

Substituting the given values, we get:

w^2 = 48^2 + 55^2

w^2 = 2304 + 3025

w^2 = 5329

Taking the square root of both sides, we find:

w = √5329

w ≈ 73 cm

Final answer:

After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.

Explanation:

To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.

This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).

According to the theorem:

w² = x² + y²

Plugging in the given values:

w² = 482 + 552

w² = 2304 + 3025

w² = 5329

To find w, we take the square root of both sides:

w = √5329

w = 73 cm

Therefore, the length of w is 73 cm, which corresponds to option D.

Answer:

|x - 1| = 6

Step-by-step explanation:

After step 2, we have that:

(x - 1)^2 = 36

and after step 4, we have the results:

x = -5 or x = 7

After step 2, what we can do in step 3 is: use square root in both sides of the equation:

|x - 1| = 6

This equation can be split in two:

x - 1 = 6 -> x = 7

x - 1 = -6 -> x = -5

So Seth could write this equation in step 3:

|x - 1| = 6

The value of x from the given expression are 5 and 7

Given the expression

5(x - 1)^2 = 18

Step 2 as shown is given as:

(x - 1)^2 = 36

Take the square root of both sides

√(x - 1)^2 = √36

x - 1 = 6

The solutions are x - 1 = 6 and x + 1  = 6

x = 6 + 1 = 7

x = 6 - 1

x = 5

Hence the value of x from the given expression are 5 and 7

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