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Answer:

8 units, 15 units, 17 units

Step-by-step explanation:

A triangle can only be considered a right triangle if it satisfies the Pythagorean Theorem.

Case 1 : Side lengths 8, 9, 15

Case 2 : Side lengths 8, 15, 17

Therefore, she should use the side lengths 8 units, 15 units, 17 units, as it forms a right triangle.

Answer:

See below ~

Step-by-step explanation:

Part (a) :

Part (b) :

Answer:

(a) The length is 85 m.

(b) The width is 89 cm.

Step-by-step explanation:

(a)

Perimeter (P) formula using the length (L) and width (W) of a rectangle.

P = 2L + 2W

P = 278 m

W = 54 m

278 = 2L + 2(54)

2L + 108 = 278

2L = 170

L = 85

Answer: The length is 85 m.

(b)

Area (A) formula using the length (L) and width (W) of a rectangle.

A = LW

A = 8811 cm²

L = 99 cm

8811 = 99 × W

W = 8811/99

W = 89

Answer: The width is 89 cm.

Answer:

230

Step-by-step explanation:

V = Base x hight

2070 = Base x 9

Base = 2070/9

Base = 230

Area = base

Area = 230

Answer: 44

Step-by-step explanation:

Answer:

Step-by-step explanation:

Problem 12

Comment

A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.

Formula

4x + 9 + 3x + 3 = 180                            Collect like terms

Solution

4x + 3x + 9 + 3 = 180                            Combine

7x + 12 = 180                                         Subtract 12 from both sides

7x + 12 -12 = 180 - 12                            Combine

7x = 168                                                Divide by 7

7x/7 = 168/7

x = 24

Answer

x = 24

Problem 13

Comment

Same comment as was given for problem 12

Formula

3x + 2 + 3x - 32 = 180              Collect like terms

Solution

3x + 3x +2 - 32 = 180               Combine

6x - 30 = 180                            Add 30 to both sides

6x -30+30 = 180 + 30

6x = 210                                   Divide by 6

6x/6 = 210/6

x = 35                            

Answer

x = 35

Hey there!

[QUESTION #12]
EQUATION: 4x + 9 + 3x + 3 = 180°

4x + 9 + 3x + 3 = 180°

COMBINE the LIKE TERMS

(4x + 3x) = (9 + 3) = 180°
4x + 3x + 9 + 3 = 180°

7x + 12 = 180°

SUBTRACT 12 to BOTH SIDES

7x + 12 - 12 = 180 - 12

SIMPLIFY IT!
7x = 180 - 12

7x = 168

DIVIDE 7 to BOTH SIDES

7x/7 = 168/7

SIMPLIFY IT!
x = 168/7

x = 24

Therefore, the answer should be:

x = 24

[QUESTION #13]

EQUATION: 3x + 2 + 3x - 32 = 180°

3x + 2 + 3x - 32 = 180°

COMBINE the LIKE TERMS

(3x + 3x) + (2 - 32) = 180°
3x + 3x + 2 - 32 = 180°

6x - 30 = 180°

ADD 30 to BOTH SIDES

6x - 30 + 30 = 180 + 30

SIMPLIFY IT!
6x = 180 + 30

6x = 210

DIVIDE 6 to BOTH SIDES

6x/6 = 210/6

SIMPLIFY IT!
x = 210/6

x = 35

Therefore, the answer should be:

x = 35

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: C 44

Step-by-step explanation:

CD is (3×14) + 2

Answer:

291.666666667

Step-by-step explanation:

Rounds to 291.7

Answer:

35000/120 = 291 and 2/3

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

⅔ ×3³/5

⅔×18/5

10×54 = 540

15 15

=36

Answer:

A=31.64 B= 18.34 C= 130.20

Step-by-step explanation:

calculating for A using cosine rule

50^2= 30^2+73^2-2×30×73CosA

2500= 900+5329-4380COSA

2500= 6329-4380COSA

2500-6329= -4380COSA

-3729= -4380COSA

COA= -3729/-4380

COSA= 0.8514

A=COS^-1(0.8514)

A= 31.64

calculating B using sinerule

sin 31.64/50= sinB/30

sinB = sin31.64×30/50

sinB = 0.3147

B = 18.34

calculating for C

31.46+18.34+C= 180

C= 180-49.8

C=130.20

The perimeter and area of the original are 20 ft and 23.5 square ft and the enlarged figure are50 ft and 146.875 square ft.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a triangle and a square.

The area of the original (A₀) figure will be

[tex]\rm A_o = \dfrac{1}{2} \times 3 \times 5 + 4 \times 4\\\\A_o = 23.5 \ ft^2[/tex]

The perimeter of the original figure (P₀) will be

[tex]\rm P_o = 3 + 5 + 4 + 4 + 4\\\\P_o = 20 \ ft[/tex]

The scale factor is 2.5.

Then the dimension of the triangle will be

h = 2.5 × 3 = 7.5 ft

b = 2.5 × 5 = 12.5 ft

Then the dimension of the square will be

a = 2.5 × 4

a = 10 ft

The area of the new figure will be

[tex]\rm A = \dfrac{1}{2} \times 7.5\times 12.5 + 10*10\\\\ A = 146.875 \ ft^2[/tex]

The perimeter of the new figure will be

[tex]\rm P= 7.5 + 12.5 + 10+ 10+ 10\\\\P = 50 \ ft[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

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Answer:

To find the perimeter of an enlarged figure, you can multiply the original figure’s perimeter by the scale factor. You could also multiply each dimension of the original figure by the scale factor to find the dimensions of the enlarged figure, and then add to find the perimeter.

Answer:

Hi, I belive your answer is 188.02

sorry if it is wrong

Here is how to get the answer which is 188.02; 11.9 x 15.8= 188.02in²

and here you go have a splendid day!

Step-by-step explanation:

Answer:

188.02

Step-by-step explanation:

Answer:

LETS DO THIS!

Step-by-step explanation:

when a line is perpendicular the line is negative and reciprocal.y

y=2x+6

now we substitute.

-4=2(5)+b

-4=10+b

-14=b is your answer

Step-by-step explanation:

Hlew frnd!

To find the slope of the perpendicular line we just take the reciprocal and therefore change the sign of slope,

Perpendicular to y = -½x + 6

Hence, the slope will be = -½ = 2

Now we have to find the slope-intercept form, So

here y intercept is given and the point will be (0,b) then eqs. of line,

=> y = mx + b [slope-intercept form]

=> -4 = 2*5 + b

=> -4 = 10 + b

=> b = -14

Answer:

markup= 19.93 revenue, 4.98 gross profit

discount= $8.72

Answer:

umm soo yea first you figure out how to do the problem, second you do the problem then you get the answer

Step-by-step explanation:

ur welcome

Answer: Brother ate 1/2, sister ate 1/6

Pizza left 1/3

Step-by-step explanation:

The first person ate ½.

Sister cut ¼÷3 = ¼× ⅓= 1/12

She ate 2/12 = ⅙

Left 1/4 + 1/12 = 4/12 = 1/3

Answer:

Scale factor of 1/2.

Step-by-step explanation:

Note that the comparison is figure A to figure B'.

The original measurements that are given are the side measurements of 16 & 6. In comparison to the corresponding parts for the other figure, it would be 8 & 3 respectfully.

Find the factor in which they change by multiplying.

16x = 8

6x = 3

Isolate the variable by dividing:

(16x)/16 = (8)/16

x = 8/16 = 1/2

(6x)/6 = (3)/6

x = 3/6 = 1/2

The scale factor is 1/2.

~

Answer:

$7.25 or D

Step-by-step explanation:

First take the 18$ and the $10.75 and subtract 10.75 from 18 and get $7.25

Based on the current real and the full employment real GDP, Rayton's economy is at a Recession stage.

The current budget balance in Rayton is -$1,000. The budget can be balanced by reducing government spending or increasing taxes. Both of these would decrease real GDP.

The fact that the current real GDP is less than the full employment GDP shows that the nation is at a recession stage where it is underperforming.

This can be found as:

= Government revenue(taxes) - government spending

= 3,000 - 1,000 - 3,000

= -$4,000

In order to make a balanced budget where government revenue will equal government spending, the government either needs to reduce spending or increase revenue ( taxes ).

Increasing taxes or reducing spending, will lead to less money available for spending in the economy which will lead to a decrease in real GDP.

Find out more on government spending at https://brainly.com/question/25125137.

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A=32.2

C=20.11

see the step by step calculation attached..

Answer:

the multiplication of rational numbers is distributive over addition of rational numbers.

Answer:

[tex]\dfrac{6}{8}, ~ \dfrac 34, ~\dfrac{24}{32}[/tex]

Step-by-step explanation:

[tex]\dfrac{12}{16} = \dfrac{12 \times \tfrac 12}{16 \times \tfrac 12} = \dfrac{6}8\\\\\\\dfrac{12}{16} = \dfrac{12\times \tfrac 14}{16 \times \tfrac 14} = \dfrac 34\\\\\\\dfrac{12}{16} = \dfrac{12 \times 2}{16 \times 2} = \dfrac{24}{32}[/tex]

Answer:

9

Step-by-step explanation:

[tex]3 \frac{3}{4} + 5 \frac{1}{4} = 8 \frac{4}{4} = 9[/tex]

[tex]\rule{300}{2}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

      [refer to attachment for question]

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

In order to find out how many miles Peter rode overall, we need to add the number of miles he rode on Monday + the number of miles he rode on Tuesday:-

Since the denominators match, we can just add the numerators and the whole parts:-

[tex]\bigstar[/tex] Which results in

[tex]\boxed{\bold{9\:Miles}}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

x=-3 and the graph is A since x>-3

Answer:

2 is right 4 and 7 that's all I know

Step-by-step explanation:

Answer:

The account is decreasing at an annual rate rate of 8%.The account decreasing at annual rate of 10.00%

Account B is Recorded a greater percentage change in amount of money over the previous year.

Answer:

none

Step-by-step explanation:

This shape has no right angles

The equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.

There are two important elements to finding an equation that defines a tangent line: its slope and its point of contact with a curve.

The equation of the given curve is;

[tex]\rm y=x^2-2x+7[/tex]

On differentiating with respect to x, we get:

dx/dy=2x−2

The equation of the line is;

2x−y+9=0

y=2x+9

The slope of the line =2

If a tangent is parallel to line 2x−y+9=0, then the slope of the tangent is equal to the slope of the line.

Therefore, we have:

2=2x−2

2x=4

x=2

Now, at x=2

y=22−2×2+7=7

Thus, the equation of the tangent passing through (2,7) is given by,

y−7=2(x−2)

y−2x−3=0

Hence, the equation of the tangent line to the given curve (which is parallel to line (2x−y+9=0) is y−2x−3=0.

Learn more about tangent here;

https://brainly.com/question/17576140

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Step-by-step explanation:

Reflection in y-axis means g(x) = f(-x)

g(x) = - 3x + 7