Distribute and combine like terms: −4(7r + 7)

Answer:

784

Step-by-step explanation:

A = 1/2ap       A = area , a = apothem , p = perimeter  

a = 1/2s          a = apothem length , s = side length

14 = 1/2s , 14(2) = 1/2s(2) , 28 = s

p = 4(s) , p = 4(28) , p = 112

A = 1/2ap , A = 1/2(14)(112) , A = 784

                 or

A = s^2 , A = 28^2 , A = 784

The area of a square with an apothem length of 14 inches is 784 inches.

The perpendicular from the center of a regular polygon to one of the sides.

As, A = 1/2*a*p      

where, A = area , a = apothem , p = perimeter  

Also, a = 1/2s          

where, a = apothem length , s = side length

14 = 1/2s

14*2=s

s=28 inches.

Now, perimeter of square

p = 4(s)

p = 4(28)

p = 112 inches

Now, Area of square,

A = 1/2ap

A = 1/2*(14)*(112)

A = 784 inches

Hence, the area of square is 784 inches.

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Answer:

50 grams

Step-by-step explanation:

Let t = maximum daily sugar value

From the question, we know that : 92% of the daily value is 46 grams

this equation can be formed

0.92 x t = 46 grams

to find t, divide both sides of the equation by 0.92

t =46/0.92= 50 grams

Answer:

3,136cm^2

Step-by-step explanation:

A square has 4 sides that are all equal to each other. This means the perimeter can be divided by the number of sides to find the measurement of each side.

224cm ÷ 4 = 56cm

Each side is 56cm

To find the area, we must multiply base and height. Since it is a square, it will be 56cm × 56cm.

56cm × 56cm = 3,136cm^2

Answer:

3136cm²

Explanation:

to find the area of the square, we first need to find the length of one of its sides. the perimeter is the total length of all 4 sides, so we can divide it by 4 to find the length of each side.

224 ÷ 4 = 56

now, we can square this to find the area of the square:

56² = 56 × 56 = 3136

thus, the area of the square is 3136cm².

i hope this helps! :D

Answer:

Solution given:fig 1

base[b]=4cm

height[h]=15cm

we have

Area of parallelogram=b×h=15×4=60cm²

Solution given:fig 2

base[b]=18cm

height[h]=3cm

we have

Area of parallelogram=b×h=18×3=54cm²

Step-by-step explanation:

Solution given:fig 3

base[b]=11cm

height[h]=6cm

we have

Area of parallelogram=b×h=11×6=66cm²

Solution given:fig 4

base[b]=12cm

height[h]=5cm

we have

Area of parallelogram=b×h=12×5=60cm²

So fig 1 =fig 4[Area]

Answer: 3.32276 units squared

Step-by-step explanation:

area of total sector=(pi*r^2)/360

=2^2 * 120pi /360

=4*120/360 * pi

=4.1887902

area of the triangle=(1/2)*base*height

the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2

the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.

the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025

so the difference is 4.1887902-0.866025

=3.32276 units squared

Answer:

16

Step-by-step explanation:

use the acroname sohcahtoa

sin 60=8√3/h

sin60=0.8660 while 8√3=13.8564

divide both side by 0.8660

0.8660/0.8660=13.8564/0.8660

h=16.0

Answer:

I think the answer would be X= 7.9999999999 .

Y= 15.9999999999

Step-by-step explanation:

Tan 60 = Rad 192 / X

X= 7.9999999999

Y = 15.9999999999

Hope it was helpful ^^ Good luck .

Answer:

30.67

Step-by-step explanation:

Given the following

Opposite side = x

Adjacent = 17

Angle = 61degrees

Using the SOH  CAH TOA identity

tan theta = opp/adj

tan 61 = x/17

x = 17tan61

x = 17(1.8040)

x = 30.67

Hence the value of x is 30.67

Answer:

I dont even understand that and im in 8th grade lol

Answer:

7,476 would be your answer because

62,300 divided by 3% is 1,869

and 1,869 times 4 is 7,476

Step-by-step explanation:

Answer:

They are similar because of the SAS triangle similarity theorem.

Step-by-step explanation:

The angles in the interconnection of the two triangles are the same because they have the same vertex and lines.

The two sides are similar by a ratio of 1.5.

9/6 and 6/4 both equal to 1.5, which means that they have the same ratio.

Because there is a side that's similar, an angle that's congruent, and then a side that's similar, you can say that the triangles are similar basing on the SIDE-ANGLE-SIDE triangle similarity theorem.

Answer:

30.48 cm. in a foot, 91.44 in a yard

Step-by-step explanation:

2.54 x 12 (12 inches in a foot) is 30.48. 30.48 × 3 (3 feet in a yard) is 91.44

Answer:

49x + 114

Step-by-step explanation:

[   [ fireplace ] x   = area of 5[tex]x^{2}[/tex]                   ]  x + 6

     5x

   patio               = area of 5[tex]x^{2}[/tex] + 49x + 114

5x + 19

(5x + 19) ( x + 6) = 5[tex]x^{2}[/tex] + 19x + 30x + 114

(5[tex]x^{2}[/tex] + 49x + 114)                     -   (5[tex]x^{2}[/tex] )                         =           49x + 114

(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)

Answer:

the first one is (x+5)(x+7)

the second one is(x-7)(x-5)

the third one is (x-5)(x+7)

the fourth one is (x-7)(x+5)

Answer: The value of x is 6.

Step-by-step explanation:

In the figure we have two secants.

A secant is a line that intersects a circle in exactly two points.

For the figure attached below:

[tex]a\times b=c\times d[/tex]

So for the given figure,

[tex]x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6[/tex]

Hence, The value of x is 6.

Answer:

x=6

Step-by-step explanation:

and hello to you as well

Answer:

[tex]EGF = 65\\ CGF = 115[/tex]

Answer:

B

Step-by-step explanation:

Because my teacher gave us the answer.

Answer:

It is true

Step-by-step explanation:

It is the same shape, it is just moved to a different spot on the graph because of translations.

C. p(11) = 626.

Step-by-step explanation:

Given  : p(x) = 5(x²+1)+16.

To find :  what is the value of p(11).

Solution : We have given  p(x) = 5(x²+1)+16.

For x = 11.

p(11) = 5((11)²+1)+16.

p(11) = 5 ( 121 + 1 ) +16.

p(11) = 5 (122) + 16.

p(11) =  610 + 16.

p(11) = 626.

Therefore,  p(11) = 626.

Answer:

I would love to help!!

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Add them together and then divide

Answer:

b + b + h + h

Step-by-step explanation:

You are finding the perimeter of the given rectangle. Note that by definition of a rectangle, the opposite parallel sides will have the same measurement. In this case, Terrance gives the expression of 2b + 2h, and so simply just expand the expression:

2b + 2h = b + b + h + h

~

Answer:

#1. $308.28

#2. $48,004.80

#3. $19,361.91

#4. $20,306.31

#5. $130.00

#6. $206.38

#7. $337.57

Step-by-step explanation:

All rounded to the near tenths place

and i just did this same assignment rn

Answer:

8 kitchen towels and 4 dishcloths!

Step-by-step explanation:

first equation is 3x + 2y = 32

second equation is 5x - 2y = 32

add the two equations together to get 8x = 64

solve for x to get x = 64 / 8 = 8

replace x with 8 in the first equation to get 24 + 2y = 32  

solve for y to get y = 8/2 = 4

you have x = 8 and y = 4

first equation becomes 24 + 8 = 32

second equation becomes 40 - 8 = 32

the solution checks out ok.

solution is x = 8 and y = 2 which means he bought 8 kitchen towels and 4 dishcloths on his first trip.

Answer:

negative

Step-by-step explanation: it has negative signs

Answer:

40=(x/6)

40×6=240

x=240?

The value of x is 204 degree.

The point where they meet is called a vertex. When two lines intersect, the opposite (X) angles are equal.

As line UM and FQ is intersecting at point x.

Using Vertical opposite angle,

x/6= 40

x=40*6

x=240

Hence, the vertically opposite angle is 240.

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Answer:

A. is correct

Step-by-step explanation:

Divide both sides by 11

Answer:

C

Step-by-step explanation:

Triangle = 180

100+62.7+18=180.7

180.7 is not a triangle

Answer:

C     100.3, 62.7, 18

Step-by-step explanation:

Angles inside of a triangle add up to 180 degrees

Option A

25+85+70=180

Option B

11.6+91+77.4=180

Option C

100.3+62.7+18=181

Option D

60+60+60=180

Option C is the answer as it is the only option that does not add up to 180 degrees

Answer:

hello

Step-by-step explanation:

yeah

Answer:

F= 42

C= 48

A= 48

B= 132

D= 132

Step-by-step explanation:

Answer:

x-2y=-8

Step-by-step explanation:

it is what it is

The equation of the linear function having an x-intercept of -8 and a y-intercept of 4 is y = (1/2)x + 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A linear function has an x-intercept of -8 and a y-intercept of 4.

So, The two points on the line are (- 8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 + 8).

slope(m) = 4/8.

slope(m) = 1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Therefore, The linear function is y = (1/2)x + 4.

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Answer:

1/4 the new area

Step-by-step explanation:

Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected

Given that:

Initial dimension of patio = 5' by 10'

Initial area of patio = Area of rectangle = Length * width

Area of patio = 5 * 10 = 50 in²

If dimension is multiplied by 2

New dimension :

5* 2 by 10*2 = 10' by 20'

New area of patio :

10 * 20 = 200 in²

50 /200 = 1/4

The old area will be 1/4 the size of the new area of the patio

Answer:

84boys

Step-by-step explanation:

boys:girls

7:4

4= 48

7=?

=84boys