1. The figure shown is composed of a right triangle and a parallelogram.
25 points
4 m
0.5 m
3.2 m
What is the area of the figure in square
meters? (7.1B, 710, 7.1E, 7.1F)
12.8 m
6.4 m2
O 7.7 m2
13.6 m

Answer:

C = 28.26  cm

Step-by-step explanation:

The figure shows a circle of diameter 9 inches.

The person has taken radius r as 9 inches which is wrong.

The radius must be (9/2) = 4.5 inches, such that,

Circumference = 2πr

= 2×3.14×4.5

= 28.26  cm

Hence, this is the required solution.

Answer:

6.4

Step-by-step explanation:

multiply

Answer:

6.43

Step-by-step explanation:

You are given:

1 mile = 1.6 kilometers

but you want 4 miles so you multiply both of them by 4 so...

1*4 = 1.6*4

That gives you ------> 4 miles = 6.4 kilometers

Answer:

Lien.

Step-by-step explanation:

A loan can be defined as an amount of money that is being borrowed from a lender and it is expected to be paid back at an agreed date with interest.

Generally, the financial institution such as a bank lending out the sum of money usually requires that borrower provides a collateral which would be taken over in the event that the borrower defaults (fails) in the repayment of the loan.

Lien is a term which describes the right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan. In order to be able to determine whether a borrower would default on the repayment of a loan, lenders usually check the credit score of the borrower.

A credit score can be defined as a numerical expression between 300 - 850 that represents an individual's financial history and credit worthiness. Therefore, a credit score determines the ability of a borrower to obtain a loan from a lender.

This ultimately implies that, the higher your credit score, the higher and better it is to obtain a loan from a potential lender. A credit score ranging from 670 to 739 is considered to be a good credit score while a credit score of 740 to 799 is better and a credit score of 800 to 850 is considered to be excellent.

Answer:

Option : A

Step-by-step explanation:

Hope it helps you!

Answer:

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Step-by-step explanation:

Answer:

7.31 and 0.685

Step-by-step explanation:

x^2 -8x +5 = 0

use the quadratic formula

- (-8) + √(-8^2 -4(1)(5) / 2(1(

(8 + √(64 -20))/2

(8+√44)/2

8+6.63 / 2

14.63/2= 7.31

+7.31

(8- √44)/2 = 0.685

Answer:

[tex]154 \: {cm}^{2} [/tex]

Step-by-step explanation:

Let the radius be = r cm

circumference = 2πr

[tex]44 = 2 \times \frac{22}{7 } \times r[/tex]

[tex]r = \frac{44 \times 7}{44} \times 7[/tex]

[tex]r = 7 \: cm[/tex]

Area of circle =

[tex]\pi {r}^{2} [/tex]

[tex] = \frac{22}{7} \times 7 \times 7[/tex]

[tex] = {154 \: cm}^{2} [/tex]

Hope it is helpful....

Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

The value of the trigonometric ratios have been determined.

In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.

The side length of the triangle as given in the figure is 18 , 24 , 30

The value of the trigonometric ratios are

cos θ = Base / Hypotenuse

sin θ =  Perpendicular / hypotenuse

tan θ =  Perpendicular / Base

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Therefore the value of the trigonometric ratios have been determined.

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Answer:

First part representing requirements for the length x>=5 ft

Second part yes

Step-by-step explanation:

Well, the formula for finding the area of a rectangle is l x w. In the question, it states that the pen must be 4 ft wide and to fit his requirements of the pen being at the minimum 20 ft^2 we have this inequality 4x>=20 which we must solve and we get x>=5 which means that this represents all of the possible lengths for the play space. For the second part, we know that to fufill Judah's requirements for square ft., our length must be greater than or equal to 5. Last time I was doing math, I'm pretty sure 5 1/2>5 which thus can be accepted as a length value, still meeting the requirements of at least 20ft^2 space for the play space.

Answer:

at answer C, that's supposed to be x= -4 , 1 and that's the answer.

x^2 + 3x - 4 = 0

Quadratic formula:  

x = -b +- sqrt{b^2 - 4ac}/(2a)

Let a = 1

Let b = 3

Let c = -4

Just plug into the quadratic formula and do the math.

We are looking for x.

x = -3 +- sqrt{3^2 - 4(1)(-4)}/2(1)

x = -3 +- sqrt{9 + 16}/2

x = -3 +- sqrt{25}/2

x = (-3 +- 5)/2

Separate x into two parts.

Part 1

x = (-3 -5)/2

x = (-8)/2

x = -4

Part 2

x = (-3 + 5)/2

x = 2/2

x = 1

Answer: x = -4,  x = 1

Answer:

SAS and not similar

Step-by-step explanation:

For the first one, the two triangles are similar (SAS) because the ratio of the two sides is the same (3:5) and the angle in between them is the same.

For the second one, the two triangles are not similar because if we look at the lengths of the sides which is the only information we have of them, we can see that their ratios are not the same.

Answer:

C

Step-by-step explanation:

Both triangles have three angles of the same value.

Remember that the angles in all triangles add up to 180°.

Let's use that to find out the unknown angles.

For the first triangle:

180 - 82 - 43 = 55°

55° is also in the second triangle.

Let's check with the second triangle:

180 - 82 - 55 = 43°

43° is also in the first triangle.

Therefore, both triangles are similar as the angles in both triangles are the same - 82°, 43° and 55°.

Hence, C.

Answer:

15

Step-by-step explanation:

its that because 808 makes the 14 into 15

Answer:

15.000

Step-by-step explanation:

because 808  is higher than 5 so it makes the 14 into 15

Answer:

so you takeway 40 by 28 you get 12+12=24%

Answer:

i got

50 %

30%

greater

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :)

Answer:

16.5 m

Step-by-step explanation:

66÷4=x

x=16.5m

...........

...........

Answer:

[tex]B' = 60^\circ[/tex]

Step-by-step explanation:

Given

[tex]B = 60^\circ[/tex]

Reflected and translated to B'

Required

Find the measure of B'

When an angle is reflected and/or translated (irrespective of the number of units of reflection and translation), the resulting angle always equal the initial angle.

This is so because, reflection and translation are rigid transformations and as such, they do not alter the  length of measurements.

Hence:

[tex]B' = 60^\circ[/tex]

Answer:  $24

Step-by-step explanation:

Mariano saved $24because

120 x 0.2=24

She payed $96

Answer:

$24 dollars i believe

Step-by-step explanation:

hope it helps

Answer:

14,96

Step-by-step explanation:

Answer:

pentagon

Step-by-step explanation:

Answer:

7 wedges

Step-by-step explanation:

=60% of 126g

=60 ÷ 100 × 126g

=75.6g

=75.6 g ÷ 10g

=7.56 = 7 wedges

Answer:

15x²6y² .................

The product of the expression is [tex](3 x 5) x^5y^2[/tex]

We have,

(3x³y) (5x²y)

Now,

Finding the product of the expression.

We add up the exponents of the same base.

[tex]x^3x^2 = x^{3 + 2} = x^5\\yy = y^{1 + 1} = y^2[/tex]

And,

(3x³y) (5x²y)

[tex]= (3 x 5) x^5y^2[/tex]

Thus,

The product of the expression is [tex](3 x 5) x^5y^2[/tex]

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Answer:

[tex]\cos x=\dfrac{8}{f}[/tex]

Step-by-step explanation:

Given that,

[tex]\tan x=\dfrac{e}{8}\\\\\sin x=\dfrac{e}{f}[/tex]

We need to find the value of cos x.

We know that,

[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]

Using the above relation,

[tex]\dfrac{e}{8}=\dfrac{\dfrac{e}{f}}{\cos x}\\\\\cos x=\dfrac{\dfrac{e}{f}}{\dfrac{e}{8}}\\\\=\dfrac{e}{f}\times \dfrac{8}{e}\\\\=\dfrac{8}{f}[/tex]

So, the value of cos x is equal to [tex]\dfrac{8}{f}[/tex].

Answer:

19 is the answer .......explanation is in image.

Answer:

The answer is C.[1,0]

Step-by-step explanation:

HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

The midpoint is the middle of a line projecting from one end to another.

Given the parallelogram HIJK with the coordinate points

H(-2,2), I(4,3), J (4, -2), and K (-2, -3)

The diagonals are HJ and IK.

Determine the midpoint

M(x, y) = [(-2+4)/2, (2-2)/2]

M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)

This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.

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Answer:

r = 3.95 ft

Step-by-step explanation:

Volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex] = 246 ft³

246 = [tex]\frac{1}{3} * \frac{22}{7} * r^2 * 15[/tex]

r² = [tex]\frac{246*3*7}{22*15*5}[/tex]

r = [tex]\sqrt{15.65}[/tex]

r = 3.95 ft

Answer:

a) [tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

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

These two paths are not perpendicular to each other.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope of the line and b is the y-intercept.

If two lines are perpendicular, the multiplication of their slopes is -1.

(a) the engineering lab and the computer center

Coordinates (3.5,-1.5) and (0.5,0.5)

The slope is given by the change in y divided by the change in x.

Change in y: 0.5 - (-1.5) = 0.5 + 1.5 = 2

Change in x: 0.5 - 3.5 = -3

Slope: [tex]m = \frac{2}{-3} = -\frac{2}{3}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

Now, to find the y-intercept, we replace one of these points into the equation.

(0.5,0.5) means that when [tex]x = 0.5 = \frac{1}{2}, y = 0.5 = \frac{1}{2}[/tex]

So

[tex]y = -\frac{2}{3}x + b[/tex]

[tex]0.5 = -\frac{2}{3}(0.5) + b[/tex]

[tex]b = \frac{1}{2} + \frac{1}[3}[/tex]

[tex]b = \frac{5}{6}[/tex]

So

[tex]y = -\frac{2}{3}x + \frac{5}{6}[/tex]

(b) the engineering lab with the library.

(0.5,0.5) and (-1,-2.5).

First, we find the slope:

Change in y:-2.5 - 0.5 = -3

Change in x: -1 - 0.5 = -1.5

The slope is: [tex]m = \frac{-3}{-1.5} = 2[/tex]

So [tex]y = 2x + b[/tex]

Now we find b

[tex]y = 2x + b[/tex]

[tex]0.5 = 2(0.5) + b[/tex]

[tex]b = -0.5 = -\frac{1}{2}[/tex]

So

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

The multiplication of their slopes, is

[tex]2*\frac{-2}{3} = -\frac{4}{3}[/tex]

Since it is different of one, these paths are not perpendicular to each other.

Answer:

1759.52cm^3

Step-by-step explanation:

Given data

Cylinder E

h = 30 cm and

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*30

V= 3.142*16*30

V=1508.16 cm^3

Cylinder F

h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

Hence the total volume is

=251.36+1508.16

= 1759.52cm^3

Answer: 1 1/2

Step-by-step explanation:

You have 3 wholes-

5/6 of a gallon for orange juice leaves 1/6 remaining.

2/3 of a gallon for apple juice leaving 1/3 remaining

1 gallon has not been used.

1/3 = 2/6

Add the remaining parts

1/6 + 2/6 = 3/6

Add your 1 whole

1 3/6 simplest form 1 1/2