8. The sum of the ages of Sarpong and Quartey is 50 years. In five years time, the age of Quartey will be four times the age of Sarpong now. How old is each boy?​

Answer:

Step-by-step explanation:

The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.

In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80

Hope this helped :)

Answer:

8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3

Step-by-step explanation:

The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.

Let the amount of extra data used be represented by x.

Plan 1 = 35 + (5 × x) = 35 + 5x

Plan 2 = 50 + (2 × x) = 50 + 2x

35 + 5x = 50 + 2x

Collect like terms

5x - 2x = 50 - 35

3x = 15

x = 15/3 = 5

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Answer:

the 1/2w +22 one is a binomial

Step-by-step explanation:

a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed

Answer:

x = 28.744

Step-by-step explanation:

Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.

Tan(32)=x/46

Tan(32)46=x

28.744=x

Answer:

B

Step-by-step explanation:

To find the coterminal angle, it is similar to going around the entire circle once and then a bit more.

379 - 360 = 19

Coterminal Angle = 19 degrees

---All the way around and a bit more

Quadrant = 1

---Where the angle is

Reference Angle = 19 degrees

---Distance between the x-axis and the angle

Hope this helps!

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

Answer:

50.29in

Step-by-step instructions:

First find the semi-circular part:- 1/2×2πr

=1/2×2×22/7×9

=28.29

Find whole perimeter:- 28.29+5+5+12 = 50.29 in

Answer:

D, C, E, A, B

Step-by-step explanation:

This is essentially the construction of a perpendicular bisector.

D. Draw a straight line from the center, O, through P and extending past P

C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.

E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle

A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S

B. Draw a line through P and S.

Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r

What does arc mean?

In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.

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Answer: the answer is

Step-by-step explanation:

Answer:

x = 1, y = -1, and z = 2

Answer:-1

Step-by-step explanation:

5x+7=2

5x=5

X=1

Answer:

(12x8) + 5

Step-by-step explanation:

The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.

Hello!

First of all, "the product" of 2 numbers means you multiply these 2 numbers.

Then, "5 more" means we add 5.

This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:

(12×8)+5

[In case you need to simplify it]

96+5

101

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

The equation of the line is y = 2x + 2

Step-by-step explanation:

Equation of a linear line can be placed in the format:

Formula for finding the slope(m):

[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]

Form the intermediate equation:

y = mx + c

[tex] \mathtt{y = 2x + c}[/tex]

Find the y-intercept:

Substitute (3,4) into the equation

[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]

Form the equation:

[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]

The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]

Answer:

the answer is 5x divide by 12

Answer:

B

Step-by-step explanation:

-4+4=0

If the temperature starts at -4 four and increases by 4, the temperature will be 0.

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

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The equation in spherical coordinates is r(φ, θ) = 8 units.

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

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Answer:

The answer are

12(x + 24) ❌

x(12 + 36) ❌

3(4x + 12) ✅

4(3x + 9) ✅

4(3x + 9x) (Again?) ✅

Step-by-step explanation:

12x + 36 equals 12(x + 3) (Keep that in mind)

12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌

x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌

3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct. ✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅

Hope this helped! Keep strong and good luck! :)

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Let me know if you want me to help you with anything else. I'll be happy enough to help you. :>

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Answer: 24

Step-by-step explanation:

Corresponding sides of similar figures are proportional.

Answer:

[tex]y=\frac{1}{2} x-8[/tex]

Step-by-step explanation:

The final answer is in the slope-intercept form, which is y=mx +c, where m is the slope and c is the y-intercept.

The slope of a perpendicular line is the negative reciprocal of the slope of the given line (the line it is perpendicular to). Thus, let's find the slope of the given line first.

Given line: y= -2x -9

The above equation is already in the slope-intercept from and thus, the slope is the coefficient of x.

Slope of given line= -2

The coefficient is the number that comes before a variable and it includes the positive or negative sign, which explains why the slope of the given line is -2 instead of 2.

Slope of perpendicular line= [tex]\frac{1}{2}[/tex]

Substitute the value of the slope into the equation:
[tex]y=\frac{1}{2} x+c[/tex]

To find the value of c, substitute a pair of coordiantes the line passes through.

When x= 8, y= -4,

[tex]-4=\frac{1}{2}(8)+c[/tex]

-4= 4 +c

c= -4 -4

c= -8

Thus, the equation of the perpendicular line is [tex]\bf{y=\frac{1}{2} x-8}[/tex].

What is reciprocal?

Answer:

there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Both these angles are equal because they are equal. So we make this equation:

8x + 36 = 5x + 60

-5x          -5x

3x + 36 = 60

      -36   -36

3x = 24

Divide both sides by 3:

x = 8

Answer:

17.5

Step-by-step explanation:

The area for a triangle is (base*height)/2 this means

(5*7)/2 = 17.5 units^2

Answer:

Step-by-step explanation:

base = b = 5 units

height = h = 7 units

[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]

                           [tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]

The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.

The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]

As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,

[tex]E(x) = \sum xP[/tex]

where x is the score and P is the probability of the score occurring.

[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]

Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.

Also, the probability of score 3 coming is maximum which is equal to 0.48.

Hence, the score that is most likely to occur is 3.

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Answer:c

Step-by-step explanation: just took the test

therer sorry for the cropped pic btw lol

Answer:

you will fill 78 boxes

Step-by-step explanation:

dozen = 12

936 divided by 12=78

Answer:

There is 1/6 chance that you will roll a 5

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.

__

Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.

__

Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.

The altitude (apothem of the polygon) is ...

  a = r·cos(180°/n)

_____

Additional comment

A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV