320% of 69 is what number?

Answer:

x = 21

Step-by-step explanation:

equation:

⇒ 44 + 6x + 10 = 180

add like terms:

⇒ 44 + 6x + 10 = 180

⇒ 54 + 6x = 180

subtract 54 on both sides

⇒ 54 - 54 + 6x = 180 - 54

⇒ 6x = 126

divide 6 on both sides

⇒ \(\frac{6x}{6} = \frac{126}{6}\)

⇒ x = 21

to check:

44 + (6x + 10) = 180

44 + (6 x 21 + 10) = 180

44 + 136 = 180

180 = 180

Answer:

I don't know this sorry

Answer:

the photos unclear if you take another and post it I can answer it

Step-by-step explanation:

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

-1 is the answer so B is the answer

Answer:

b is right

Step-by-step explanation:

Answer:

 option C ($3050) (1+0.067/12)^4 (1+0.328/12)^8

Step-by-step explanation:

just did it on ape exam

Answer:  0.4016

Step-by-step explanation:

Let x be a random variable that represents the height of women in a country.

Mean : \(\mu=64.3\) inches

Sample size : n= 65

Standard deviation: \(\sigma=2.81\)

The probability that the mean height for the sample is greater than 65 inches = \(P(x>65)=1-P(x<65)\)

\(=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016\)

Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016

Answer:

502

Step-by-step explanation:

100 * 5 + 2 = 505

Answer:

To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.

The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:

The first term is 2.

The second term is 2 * 5 = 10.

The third term is 10 * 5 = 50.

The fourth term is 50 * 5 = 250.

And so on...

Iterating this rule 99 times gives us:

The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.

Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Step-by-step explanation:

Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

Answer:

0 or 0.62921348314 (if done by the calculator)

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 89 on the left side and the dividend 56 on the right side like this:

8 9 ⟌ 5 6

Step 2:

The divisor (89) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

0

8 9 ⟌ 5 6

Step 3:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer below the dividend.

0

8 9 ⟌ 5 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

0

8 9 ⟌ 5 6

- 0

5

Step 5:

Move down the 2nd digit of the dividend (6) like this:

0

8 9 ⟌ 5 6

- 0

5 6

Step 6:

The divisor (89) goes into the bottom number (56), 0 time(s). Therefore, put 0 on top:

0 0

8 9 ⟌ 5 6

- 0

5 6

Step 7:

Multiply the divisor by the result in the previous step (89 x 0 = 0) and write that answer at the bottom:

0 0

8 9 ⟌ 5 6

- 0

5 6

0

Step 8:

Subtract the result in the previous step from the number written above it. (56 - 0 = 56) and write the answer at the bottom.

0 0

8 9 ⟌ 5 6

- 0

5 6

- 0

5 6

∠72

Step-by-step explanation:

Therefore Two sides will be equal

∠b = ∠c ------ ☆

=> ∠b = 2∠a

=> ∠a = ∠b/2 -------(1)

=> ∠a + ∠b + ∠c = 180

Put value of ∠a from equation (1)

=> ∠b/2 + ∠b + ∠b =180

[ look equation marked - ☆ ]

=> 5∠b/2 = 180

=> 5∠b = 180 × 2

=> 5∠b = 360

=> ∠b = 360 / 5

=> 72

Some properties of Triangle-

Answer:

60

Step-by-step explanation:

see attachment for explanation

Answer:

0.44 (44%) of the students are boys.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

sir plz said that diagram in which it's is say

The zeros of the function defined by

h(x) = x³ – 4x² – 5x are x = 0, x = 5 and x = -1

The zeros of a function, also referred to as roots or x-intercepts, occur at x-values where the value of the function is 0. It is simply the values of x when f(x) is equal to 0.

For x = 0, we substitute 0 for x in the function h(x);

h(0) = (0)³ - 4(0)² - 5(0)

h(0) = 0

For x = 1, we substitute 1 for x in the function h(x);

h(1) = (1)³ - 4(1)² - 5(1)

h(1) = 1 - 4 - 5

h(1) = -8

For x = -5, we substitute -5 for x in the function h(x);

h(-5) = (-5)³ - 4(-5)² - 5(-5)

h(-5) = -125 - 100 +25

h(-5) = -200

For x = 5, we substitute 5 for x in the function h(x);

h(5) = (5)³ - 4(5)² - 5(5)

h(5) = 125 - 100 - 25

h(5) = 0

For x = -1, we substitute -1 for x in the function h(x);

h(-1) = (-1)³ - 4(-1)² - 5(-1)

h(-1) = -1 - 4 + 5

h(-1) = 0

Therefore, the values of x that makes the function h(x) = x³ – 4x² – 5x equal to zero are; 0, 5, and -1, they are the zeros of the function h(x).

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Answer:

12/51 or 0.2353

Step-by-step explanation:

There are 13 spades in a deck of 52 cards.

If the first card drawn is a spade and it is not replaced, we will have 51 cards, of which 12 are spades.

So the probability of drawing a spade for the second card is 12/51 ~ 0.2353

Answer: y = (x - 1)² - 3

Step-by-step explanation:

y = (1-1)²-3
y=0-3
y=-3

Answer:

Yes

Step-by-step explanation:

A transversal line is a line that intersects two or more lines. Since line C is intersecting two lines, it is transversal.

The required line C is a transversal of lines a and b.

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The line which intersects two or more lines is said to be a transversal line.
So as of the given figure, line C intersects line a and line b so Line C is a transversal line.

Thus, the required line C is a transversal of lines a and b.

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Answer:

\(2\)\(z^{3}\)\(\sqrt{14z}\)

Step-by-step explanation:

The simplified form of  √56z⁷  is 2z³√(14z⁴ ) in the given question.

To simplify √56z⁷, we can break down the number 56 into its prime factors and remove any perfect square factors from inside the square root.

When simplifying a square root expression, removing perfect square factors from inside the square root helps simplify the expression further. This is because the square root of a perfect square is a whole number.

First, let's factorize 56:

56 = 2 * 2 * 2 * 7

Since 2 is a perfect square, we can remove it from inside the square root:

√56z⁷  = √(2 * 2 * 2 * 7 * z⁷ )

Simplifying further:

√56z⁷ = 2z³√(2 * 7 * z)

Therefore, the simplified form of √56z⁷  is 2z³ √(14z⁴ ).

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Answer:

2x^2 -3x -8

Step-by-step explanation:

f(x) = 2x^2 - 5

g(x) = 3x + 3,

(f - g)(x)=  2x^2 - 5 -(3x + 3)

Distribute the minus sign

(f - g)(x)=  2x^2 - 5 -3x - 3

Combine like terms

            = 2x^2 -3x -8

The probability that either event A or B will occur is 43/60

Using the parameters given

n(A) = 29

n(B) = 14

Total number of events = 29+17+14 = 60

The probability of each event :

P(A) = 29/60

P(B) = 14/60

P(A or B ) = P(A) + P(B)

P(A or B ) = 29/60 + 14/60

P(A or B ) = 43/60

Therefore, the probability of A or B is 43/60

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The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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Answer:

0.0825

Step-by-step explanation:

1/4=0.25

1/3=0.33

Answer:  y = 1/2x -8  

Step-by-step explanation:

The equation will be in slope intercept form which uses the formula  y= mx +b   where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.

The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.

-7- (-4) = -3

2 - 8 = - 6

-3/-6 =   1/2  

So in this case the  slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.

-7 = 1/2(2) + b  

-7 =  1 + b

-1     -1

b = -8  

The y intercept is -8 so we will have the equation y = 1/2x -8

9514 1404 393

Answer:

  10.24 m

Step-by-step explanation:

The volume formulas for the figures are ...

You can fill in the given radii and set the volumes equal:

  4/3π(4 m)³ = 1/3π(5 m)²h

  h = (4^4)/(5^2) m . . . . . divide by the coefficient of h

  h = 10.24 m

The height of the cone is 10.24 meters.

Answer:

It is linear

Step-by-step explanation:

It is in the form

y = mx