How can the area of this triangle be determined by forming a rectangle?

Select from the drop-down menus to correctly complete the statements.

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose... 2, 4, 11 ,13
units. The width of the rectangle is
Choose... 2,4,11,13
units. The area of the rectangle is
Choose... 13 26 30 169
square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose... 13 26 30 169
square units.

Answer:

X=15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 15

Step-by-step explanation:

4x+70=9x-5

-4x       -4x

______________

70 = 5x - 5

+5           +5

______________

75 = 5x

/5     /5  

_____________

15 = x

Hope this helps :)

(If you need this explained in words let me know)

Answer:

$108

Step-by-step explanation:

18 dollars times 6 equals 108.

Answer:

108 dollars

Step-by-step explanation:

Since so far Caleb saved $18 and the skateboard he wants to buy is 6 times as great as the amount he saved, then you multiply 18 and 6 together which equals $108.

Therefore, the cost of his skateboard is $108.

Answer:

-29

Step-by-step explanation:

(-4 + -3) x 2^2 - 1

follow order of operations PEMDAS

Parentheses:

(-4 + -3) x 2^2 - 1

(-7) x 2^2 -1

exponents:

(-7) x 4 - 1

multiplication

-28 - 1

subtraction

-29

Answer:

[tex]beinggreat78~here~again![/tex]

I posted the answer and steps on one of your duplicate questions.

Just incase it was not seen, the answer is -29

Answer:

x = 12

Step-by-step explanation:

Answer:

10) acute triangle

13) right triangle

Step-by-step explanation:

all triangles have angles that add up to 180 degrees

find the third angle of the triangle by subtracting the known angles from 180

180-75-78=27

acute triangles have no angles that surpass 90 degrees which fits that triangle's description

180-54-36=90

since one angle is 90 degrees, it is a right triangle

Answer:

[tex]\huge\boxed{\bf\:10) \: Acute \: angled \: triangle}[/tex]

[tex]\huge\boxed{\bf\:11) \: Right \: angled \: triangle}[/tex]

Step-by-step explanation:

▪︎ Question 10 :

We need to find the missing angle at first. Take it as 'x' .

We know through the angle sum property of a triangle that the total sum of all the angles in a triangle will sum up to 180°. Hence,

75° + 78° + x° = 180°

153° + x° = 180°

x° = 180° - 153°

x° = 27°

Then, since all the angles are less than 90°, we can say that the triangle is an acute angled triangle.

[tex]\rule{150pt}{2pt}[/tex]

▪︎ Question 11 :

Just like the above question, we need to find the missing angle at first. Take it as 'y' .

The total sum of all the angles in a triangle will sum up to 180° (angle sum property of triangles). Hence,

36° + 54° + y° = 180°

90° + y° = 180°

y° = 180° - 90°

y° = 90°

Since, one angle is equal to 90°, the given triangle is a right angled triangle.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

try c 235.5

Step-by-step explanation:

15 x 5=75 x 3.14 = 235.5

sorry if im wrong

Answer:

125π

392.7

Step-by-step explanation:

V=1/3hπr² is the formula for the volume of a cone.

V = 1/3(15)π(5)²

V = 5π25

V = 125π

V = 392.7

Answer:

The answer to this question would be c

Answer:

Since a gallon is equal to 16 cup we need to get the amount of cups to 16.

1 1/4 x 12.8 = 16 so 12.8 servings! please tell me if im wrong

Step-by-step explanation:

Since a gallon is equal to 16 cup we need to get the amount of cups to 16. Find the amount that equals 16

Answer: (C) 37.68 m

Step-by-step explanation:

    We can use a formula to help us solve for the circumference of this circle.

        C = 2πr

        C = 2π(6)

        C ≈ 37.68 m

The circumference is about 37.68 m, so the answer to your question is option C.

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here is the equation for this problem:

2 1/2 + 1 3/4 + x = 12

To add 2 1/2 and 1 3/4, revert the fractions into mixed numbers, and then change the denominator to the LCM (Lowest Common Denominator)

3/2 + 7/4 + x = 12

The lowest common denominator, in this case, is 4. 7/4 stays the same because the denominator is already 4, but we need to multiply the numerator and denominator of 3/2 by two to get the denominator to 4. (Whatever you do to the numerator, you have to do to the denominator, and vice versa)

3 x 2 = 6

2 x 2 = 4

Now, the equation looks like this:

6/4 + 7/4 + x = 12

Now add the fractions. The denominator stays the same, but the numerators are added together.

6/4 + 7/4 = 13/4

Now, you can revert 13/4 back to a mixed number

13/4 = 3 1/4

The equation should look like this now:

3 1/4 + x = 12

Now subtract 3 1/4 from both sides (Meaning subtract 3 1/4 from 3 1/4 to cancel it out and also subtract 3 1/4 from 12 as well)

12 - 3 1/4 = 8 3/4

Now, it should look like this:

x = 8 3/4

You could change the 8 3/4 into a decimal as well, which would look like this:

x = 8.75

Here is a summary of the whole equation:

2 1/2 +  1 3/4 + x = 12

3/2 + 7/4 + x = 12

6/4 + 7/4 + x = 12

13/4 + x = 12

3 1/4 (-3 1/4) + x = 12 (-3 1/4)

x = 8 3/4 or 8.75 acres

Answer:

Lisa has 8 3/4 acres left for home sites

There will be 7.75 acres of land left for home sites.

Mixed fractions are type of fractions which includes both a whole part and a fractional part.

It is of the form a [tex]\frac{b}{c}[/tex], where a is the whole part and b/c is the fractional part. This actually implies that a +  [tex]\frac{b}{c}[/tex]. So we can do the cross multiplication to change the mixed fraction into improper fraction.

Total land for housing development = 12 acres

Land covered by park = 2 [tex]\frac{1}{2}[/tex]

                                     = (2 × 2 + 1) / 2

                                     = 5/2 acres

Land covered by paved areas = 1 [tex]\frac{3}{4}[/tex]

                                                  = (1 × 4 + 3) / 4

                                                  = 7/4 acres

Total land covered by park and paved areas = [tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{10}{4}[/tex] + [tex]\frac{7}{4}[/tex]

                                                                           = [tex]\frac{17}{4}[/tex]

                                                                           = 4.25 acres

So the remaining land = 12 - ([tex]\frac{5}{2}[/tex] + [tex]\frac{7}{4}[/tex])

                                     = 12 - 4.25

                                     = 7.75 acres

Hence Lisa can build the home sites in the remaining 7.75 acres of land.

To learn more about Mixed Fractions, click :

https://brainly.com/question/29264210

#SPJ2

Answer:

-5? (negative five)

Step-by-step explanation:

i'm not sure, i'm not in the same grade level as you, but i tried my best

I saw a problem similar as this but it was subtraction instead of addition, and the answer for the problem was 5, so if this problem was subtraction, the answer has to be the negative of the number five, so that's how i came up with the answer, negative 5

Hope i am correct!

Answer:

3x8x10=240

240/3 = 80

Step-by-step explanation:

[tex]\dfrac 34(5a-16) - \dfrac 13(6a-3)\\\\=\dfrac{15a}4 - \dfrac{48}4 - 2a + 1\\\\=\dfrac{15a}4 -12-2a+1\\\\=\dfrac{15a}4 -2a -11\\\\=\dfrac{15a-8a-44}{4}\\\\=\dfrac{7a-44}4[/tex]

Answer:

1.75a - 11

Step-by-step explanation:

Remember your order of operations, first you want to start inside the parantheses. Nothing can be simplified there so move on to multiplication.

Distribute (mutiply) ¾ with (5a - 16) as well as -⅓ with (6a - 3) to get

3.75a - 12 - 2a + 1

Combine like terms, so 3.75 with -2a as well as -12 with 1.

1.75a - 11

Which you could also write as

⁷⁄₄a - 11 or 1¾a - 11

Answer:

-7.4

Step-by-step explanation:

It's only one less than -7.5

According to the question,

The ratio of almond flour to coconut flour is 7:38

so,

the volume of the almond flour used in a day ,in terms of cups would be

[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]

[tex] \rightarrow28[/tex]

hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.

______________________________________

volume of coconut flour required in a day ,in terms of no. of cups would be

[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]

[tex] \rightarrow152[/tex]

hence ,152 cups of coconut flour are required to make the mixture.

_______________________________________

Given that,

The ratio of almond flour to coconut flour is 7:38

7:38 = 28:152

7:38 = 7 :38

LHS = RHS

hence , verified ✓

Let almond be 7x and coconut be 38x

ATQ

Total almond cupls=4(7)=28cups

Answer:

11x11= 1

1/2x11x10x4

=220

121+220=341

Answer:

41

Step-by-step explanation:

41, 41, 41, 44, 90

other answers would have been:

41, 41, 44, 50, 90

41, 41, 44, 58, 90

41, 41, 44, 66, 90

Answer:

Assuming the area is made up of a square and a semicircle.

Perimeter

The side length of the square = 18 ft

We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).

⇒ perimeter of the square = (3 x 18) + (18 - 12)

                                                          = 54 + 6

                                                          = 60 ft

Circumference of a circle = [tex]\pi[/tex]d (where d is the diameter)

⇒ arc length of the semicircle = 1/2 circumference

                                                  = 1/2 · [tex]\pi[/tex] · 12

                                                  = 6[tex]\pi[/tex] ft

Total perimeter = 60 + 6[tex]\pi[/tex] = 78.8 ft (nearest tenth)

Area

Area of a square = s² (where s is the side length)

⇒ area of square = 18²

                             = 324 ft²

Diameter = 2r  ⇒  r = 1/2 diameter

Area of a circle = [tex]\pi[/tex]r²  (where r is the radius)

⇒ area of the semicircle = 1/2 · [tex]\pi[/tex] · 6²

                                         = 18[tex]\pi[/tex] ft²

Total area = 324 + 18[tex]\pi[/tex] = 380.5 ft² (nearest tenth)

Answer: V≈1.57×105

Step-by-step explanation:  V=33

2a2h=3·3

2·822·9≈1.57225×105

Answer:

42.27in³

Step-by-step explanation:

Using the formulas

A=6ah+33a2

AB=33a2

2

V=ABh

Solving forV

V=3h3﹣h23h2+3A+Ah

2=3·93﹣92·3·92+3·82+82·9

2≈42.27214in³

Answer:

[tex]Here~you~go![/tex]

The answer is 5:19. Why? Because you add all the fruits together, and then compare them to the amount of peaches.

Answer:

7.) 53.38

8.) 18.84

9.) 87.92

Step-by-step explanation:

7.)

For the first question, we can see that the diameter is given. So, we will want to divide that diameter by 2 to get the radius. 17 ÷ 2 = 8.5.

The formula for finding the circumference is 2 × π × 8.5

2 × 3.14(π) = 6.28.

6.28 × 8.5 = 53.38

8.)

For the second question, we can see that the radius is now given to us which is 3ft.

The formula for finding the circumference is 2 × π × 3

2 × 3.14(π) = 6.28.

6.28 × 3 = 18.84

9.)

For the third question the raduis is also given to us, which is 14 in.

The formula for finding the circumference is 2 × π × 14.

2 × 3.14(π) = 6.28.

6.28 × 14 = 87.92

-kiniwih426

Answer:

Point C

Step-by-step explanation:

it is 5 units negative wise, on a 8 point scale.

Answer: 5

Step-by-step explanation:

Answer:

Your answer would be A. RSTU results from a translation of ABCD is not true.

Step-by-step explanation:

when you look at the images, it states the figure RSTU backwards, meaning, that it had to be reflected over the y-axis at some point, not a translation because a translation could not reflect a figure like a reflection can.

Answer:

I would say high. The data sets are completely identical besides column 17

Answer:

1.I think the dot plot was the right decision because we are trying to go over specific data.For instance bar graphs are good if you are trying to get data on things that are in ranges like 1-3 and 4-6 but when you have things like this where he is trying to show each value its better to use a dot plot

2. 16 students are in this class (you can just count the dots to get this answer)

3. the class is a adult swim class-yes,this class ranges between 18 year olds to 32 year olds which are all legally adults

Half the students are between 2 and 3 years old-no,the minimum or youngest age that this set has is 18 years old which is still alot of a higher value than 2 or 3

Step-by-step explanation:hope this makes sense and helps you