Abel has a piece of string that is 7/10 of a meter long. He cuts off 1/2 of a meter of string. How many meters of string does Abel have now?

Answer:

57.2°

Step-by-step explanation:

sin 26° = x/19

x = 8.329051789

[tex]sin^{-1}[/tex] (7 / 8.329051789)

Answer:

Width = 15 feet

Length = 32 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet

Answer:

it is b

Step-by-step explanation:

Answer:

it is b

Step-by-step explanation:

Answer:

-4 =x

Step-by-step explanation:

2x + 9(x – 1) = 8(2x + 2) – 5

Distribute

2x +9x -9 = 16x+16 -5

Combine like terms

11x-9 = 16x +11

Subtract 11x from each side

11x-9-11x = 16x-11x+11

-9 = 5x+11

Subtract 11 from each side

-9-11 = 5x+11-11

-20 = 5x

Divide by 5

-20/5 = 5x/5

-4 =x

Given:

Total bill = $67.65

Mr. Scott paid with four $20 bills.

To find:

The amount of change he have received.

Solution:

It is given that, Mr. Scott paid with four $20 bills. So, the total amount paid by him is:

[tex]\$20\times 4=\$80[/tex]

Total bill = $67.65

Now,

Amount of change = Total amount paid - Total bill

                               = $80 - $67.65

                               = $12.35

Therefore, he should have received $12.35.

1 Ques

Answer

a) Subtract x from both sides:

Divide both sides by -4 to get:

(b)

Add x to both sides:

Subtract 16 from both sides:

Divide both sides by 26 to get:

Simplify:

(c)

Add 12 to both sides:

Subtract x from both sides:

Divide both sides by 7 to get: or we can write

Let a,b,c,d and e are five numbers

mean = (a +b+ c+ d+e)/5 = 30

⇒ (a +b+ c+ d+e) = 150_______(1)

now, Let the number excluded be a

then, new mean =  (b+ c+ d+e)/4 = 28

⇒ (b+ c+ d+e)= 112

putting this value in (1),

⇒a + 112 = 150

⇒a = 150 -112 = 38

excluded number = 38

Answer:

5 dollors i just tookthe test 4

Step-by-step explanation:

Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.

To find out how many oranges Arianna bought, we can use the given price of a bag of 4 oranges and the total amount she spent on oranges.

Let's set up a proportion:

Price of a bag of 4 oranges = $2.84

Amount Arianna spent on oranges = $3.55

Let "x" be the number of bags of oranges Arianna bought.

Since each bag contains 4 oranges, the total number of oranges she bought is 4 times the number of bags (4x).

Now, we can set up the proportion:

(Price of a bag of 4 oranges) / (Amount spent on oranges) = (Number of bags bought) / 4x

$2.84 / $3.55 = 1 / 4x

To solve for "x," cross-multiply:

$2.84 * 4x = $3.55 * 1

11.36x = 3.55

Now, solve for "x":

x = 3.55 / 11.36

x ≈ 0.3125

Since we can't buy a fraction of a bag, we round the value of "x" to the nearest whole number:

x ≈ 0 (rounded to the nearest whole number)

So, Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.

To know more about oranges:

https://brainly.com/question/28969541

#SPJ3

9514 1404 393

Answer:

Step-by-step explanation:

A and the angle marked 48° are vertical angles, hence congruent.

  A = 48°

B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.

  B = 115°

C is an alternate interior angle with angle B, so is congruent.

  C = 115°

D is a vertical angle with the one marked 67°, so is congruent.

  D = 67°

E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.

  E = 48°

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

Answer:

113.04^2

Step-by-step explanation:

radius = diameter / 2

=12/2

=6 ft

area of circle = πr^2

=3.14 * 6^2

=3.14 *36

=113.04 ft^2

Answer:

[tex]{ \boxed{ \tt{ formular : { \tt{area}} = \pi {r}^{2}}}} \\ { \green{radius = \frac{diameter}{2} = \frac{12}{2}}} \\ area = \frac{22}{7} \times { (\frac{12}{2} )}^{2} \\ { \boxed{area = 113.04 \: {ft}^{2} }} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Answer:

Area = 972 square feet

Step-by-step explanation:

Let  90 square meter be = x square feet

Given :

                      square meter             square feet

                              1                             10.8

                             90                            x

[tex]\frac{1}{90} = \frac{10.8}{x}\\\\1 \times x =10.8 \times 90 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ cross \ multiply \ ]\\\\x = 972[/tex]

Therefore , 90 square meter = 972 square feet

Answer:

I assume that this is a quadratic equation, something like:

y = -47*x^2 - 24x + (-36)

we can rewrite it as:

y = -47x^2 - 24x - 36

Ok, this is a quadratic equation and we want to find the maximum value.

First, you can notice that the leading coefficient is negative.

This means that the arms of the graph will open downwards.

Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.

Remember that for a general function

y = a*x^2 + b*x + c

the vertex is at:

x = -b/2a

So, in our case:

y = -47x^2 - 24x - 36

The vertex will be at:

x = -(-24)/(2*-47) = -12/47

So we just need to evaluate the function in this to find the maximum value.

Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)

y = -47*(-12/47)^2 - 24*(-12/47) - 36

y = -32.94

That is the maximum value of the function, -32.94

Answer:

36.32

Step-by-step explanation:

Given the data:

X = 12,106,94,100,180

The mean absolute deviation is calculated thus :

MAD = |x - mean| / n

Where n = sample size

Mean = Σx / n = (12 + 106 + 94 + 100+ 180) / 5 = 98.4

MAD = (|12 - 98.4| + |106 - 98.4| + |94 - 98.4| + |100 - 98.4| + |180 - 98.4|) / 5

MAD = 36.32

Answer:

The converse of the statement is: If two angles are supplementary, then they form a linear pair.

Step-by-step explanation:

The statement is a representation of the following compound proposition: [tex]p \rightarrow q[/tex], where:

[tex]p =[/tex] Two angles form a linear pair

[tex]q =[/tex] They are supplementary

The converse of this implication is represented by the following inferential formula:

[tex]q \rightarrow p[/tex]

Therefore, the converse of the statement is:

If two angles are supplementary, then they form a linear pair.

Answer:

42 units²

Step-by-step explanation:

the area = (11-4) × (9-3)

=7×6 = 42 units²

Complete question is;

Drag an answer to each box to complete this paragraph proof.

Given:

<ABC and <CBD are complementary angles and M<ABC = 35°

Prove:

M<CBD = 55°

It's given that <ABC and <CBD are ________.

So, m<ABC + m<CBD = 90° using the _______.

It is also given that m<ABC = 35°

Using substitution property of equality, you have ___ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = ___

Attached is an image of both angles.

Options to drag are;

Complementary angles, supplementary angles, definition of supplementary angles, definition of complementary angles, 35°, 55°, 90°

Answer:

It's given that <ABC and <CBD are __complementary angles___.

So, m<ABC + m<CBD = 90° using the __definition of complementary angles___.

It is also given that m<ABC = 35°

Using substitution property of equality, you have _35°_ + m<CBD = 90°.

Therefore, using the subtraction property of equality, m<CBD = _55°_

Step-by-step explanation:

Now, from angle properties, we know that the Sum of 2 Complementary angles is equal to 90°.

Thus, <ABC and <CBD are complementary angles.

Then;

m<ABC + m<CBD = 90° (using the definition of complementary angles as seen above).

It is also given that m<ABC = 35°

Now, Using substitution property of equality, we will have;

35°+ m<CBD = 90°

Subtract 35° from both sides to get;

35 - 35 + m<CBD = 90 -35

m<CBD = 55°

Solution :

It is given that the manager hires a labor and he rents the capital equipment [tex]\text{in a very competitive market}[/tex].

Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the [tex]\text{marginal product}[/tex] of the labor is 50 units of the output per hour and the marginal.

Therefore, the answer is

14 + 10 = 24

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

Answer:

25 in and 9 cm

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the missing side

A

x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

x = [tex]\sqrt{625}[/tex] = 25

B

x² + 12² = 15²

x² + 144 = 225 ( subtract 144 from both sides )

x² = 81 ( take square root of both sides )

x = [tex]\sqrt{81}[/tex] = 9

Answer:

A) [tex]\sqrt{7^{2} +24^{2} }[/tex] = 25

B) [tex]15^{2} -12^{2} = B^{2}[/tex]

   [tex]B^{2} =81\\[/tex]

B = 9

Step-by-step explanation:

Answer:

Hello,

I am pretty sure that is is the last answer. 3√3.

Step-by-step explanation:

I hope this helps!

Answer:

The last answer

Step-by-step explanation:

This is asking you to do 9 divided by 3. After you divide 3 by 9 divided by 3 to get the answer

9 divided by 3 equals 3

3 divided by 3 equals 1

Answer:

We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.

so

20×6= 120 sq in

Answer:

120 sq in.

Step-by-step explanation:

LA = ah

LA = 20 × 6

A = 120

Given:

Depart 2:30 pm PST

Arrive 7:20 pm CST

To find:

The total travel time

Solution:

We know that time in CST is 2 hours more than the time in PST

Depart time = 2:30 pm PST

Convert this time in CST.

Depart time = (2:30+2:00) pm CST

                    = 4:30 pm CST

We have,

Arrive time = 7:20 pm CST

The total travel time is the difference between 7:20 pm CST and 4:30 pm CST.

7:20 pm - 4:30 pm = 2 hr 50 min

The total travel time is 2 hr 50 min.

Therefore, the correct option is D.

Answer:

B   a = 180 -77-60

Step-by-step explanation:

The angles add to 180 degrees since they form a straight line

77+ 60+a = 180

a = 180 -77-60

The answer is B.

Step-by-step explanation:

We know that the sum of angles in a straight line = 180°

Therefore:

77° + 60° + a = 180°

a = 180° - 77° - 60°

Hence, option B is the answer.

Answer:

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

Step-by-step explanation:

Given

[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )

8x = 4 + 2x ( subtract 2x from both sides )

6x = 4 ( divide both sides by 6 )

x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

The maximum is -3

and the third one -3<f(x)≤ -3

Step-by-step explanation:

Let's start by expanding the exponent

-(x+7)²= -(x²+14x+49)= -x²-14x-49

simplify

-x²-14x-49-3= -x²-14x-52

To find the maximum/minimum take the first derivative

-x²-14x-52= -2x-14

set this equal to 0

-2x-14= 0

x= -7

We then plug in x= -7 into the equation to find the y value

Because the coeficcent for the degree is negative (it's -1) this is a maximum

-(-7+7)²-3 = -3

Because -3 is the highest point the graph's range is -∞<f(x)< -3

Therefore the maximum i

Answer:

(0,-41)

Step-by-step explanation:

Let see if this table of values are proportional.

This mean that the function is proportional. This also gives us the slope which is 19/9.

This tell us that this function will be a linear function since we are trying to find the y intercept we would use this equation

We know the slope and we know a point so let use point slope form to find the intercept.

[tex]y - y _1= m(x - x _1)[/tex]

Let use points (-18,-79) and let m =19/9.

[tex]y + 79 = \frac{19}{9} (x + 18)[/tex]

[tex]y + 79 = \frac{19}{9} x + 38[/tex]

[tex]y = \frac{19}{9} x - 41[/tex]

This is in slope intercept form so the y intercept is

[tex] - 41[/tex]

The answer is -41.

Answer:

£7

Step-by-step explanation:

x - .2x = £5.60

.8(x) = £5.6

x= £5.6/.8