The shape has an area of 60 square inches. Find the value of x.

The Shape Has An Area Of 60 Square Inches. Find The Value Of X.

Answers

Answer 1

Answer:

The value of x is 12.

Step-by-step explanation:

Given that the area of triangle formula is A = 1/2×b×h where b represents base which is the x and h is height, 10 inches. So you have to substitute the following values into the formula :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let area = 60,

Let base = x,

Let height = 10,

[tex]60 = \frac{1}{2} \times x \times 10[/tex]

[tex]60 = 5 \times x[/tex]

[tex]5x = 60[/tex]

[tex]x = 12 \: inches[/tex]

Answer 2

Answer:

12 inches

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(b*h)/2

We know that the triangle has an area of 60 inches squared. We also can see from the picture that the height is 10 inches, and the base is x inches.

a=60 inches^2

b= x inches

h= 10 inches

Substitute these values into the formula

60=(x*10)/2

Now, solve for x. To do this, get x alone. Perform the opposite of what is being done to the equation. Remember to perform everything to both sides of the equation.

x*10 is being divided by 2. The opposite of division is multiplication, so multiply both sides by 2.

2(60)=(x*10/2)2

2(60)=x*10

120=x*10

x is being multiplied by 10. The opposite of multiplication is division. Divide both sides by 10.

120/10=x*10/10

120/10=x

12=x

The base, or x, is 12 inches.


Related Questions

Given 29 2 Z13. 11 10 7/6 12/9 8/5 Which lines, if any, must be parallel based on the given information? Justify your conclusion. 2/3 15/14 16/13 1 c d, Converse of the Same-Side Interior Angles Theorem | b. Converse of the Alternate Interior Angles Theorem a c d, Converse of the Corresponding Angles Theorem not enough information to make a conclusion

Answers

Answer:

  see below

Step-by-step explanation:

Angles 9 and 13 are both southeast of their respective vertices, hence are corresponding angles. Since they are congruent, the converse of the corresponding angles theorem applies.

PLEASE HELP! Work must be shown for this problem! The figure shown below is a rhombus

Answers

Answer:

∠NXO = 90° because the diagonals of a rhombus are perpendicular. Because the sum of angles in a triangle is 180°, 90 + 29 + ∠7 = 180 which means ∠7 = 61°.

Solve the equations.

1/2x+6= 16​

Answers

Answer:

x = 20

Step-by-step explanation:

x in (-oo:+oo)

(1/2)*x+6 = 16 // - 16

(1/2)*x-16+6 = 0

1/2*x-10 = 0 // + 10

1/2*x = 10 // : 1/2

x = 10/1/2

x = 20

Please help me with this IXL problem

Answers

Answer:

Median

Step-by-step explanation:

800 keeps repeating

Answer: 650

Step-by-step explanation:

300/ 2

equals 150

so we do 150+ 500=650

so the answer is 650

Hope this helps :)

i need help with an exsplanation with it plz

Answers

the answer is 100 because 6*21 is 126 and 126 is close to 100.

Answer:

A

Step-by-step explanation:

5x 20 = 100 so 6 would't be too far away

what is the coefficient of 7c+8?
1) 1
2)8
3)7
4)c

Answers

The coefficient is, 3) 7

The coefficient of 7c + 8 is the coefficient of the term with the variable c, which is 7.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

The given expression is 7c + 8.

A coefficient is a numerical factor that appears before a variable in a term. In this expression, 7c is a term, where 7 is the coefficient of c. Similarly, 8 is also a term, where the coefficient is 8.

Since integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer.

Therefore, the coefficient of 7c + 8 is the coefficient of the term with the variable c, which is 7.

So, the answer is option 3, which is 7.

Learn more about expression here:

brainly.com/question/13947055

#SPJ3

Pls help me on this real quick!!!

Answers

Answer:

Triangle on the left or the first one

Step-by-step explanation:

For triangle T there is another angle which is 180-110-40= 30 degrees. Then triangle on the furtherest left is the exact same


It’s the second one

What is the vertex of the graph of y = x2 + 2x + 1? (0, 1) (−1, 0) (−2, 1) (1, 4)

Answers

Answer:

(-1,0)

Step-by-step explanation:

the vertex is the highest or lowest point of a function where both lines meet and since (-1,0) is the lowest point and the next 2 are above it, so that makes (-1,0) the vertex.

Hope it helps the explanation is a little poor but I tried my hardest.

I attached a photo and if you look you can kind of see what I'm saying.

There are 15 m and ms that are peanut or small, 2 m and ms that are peanut and small, and 9 m and ms that are small. How many m and ms are peanut?

Answers

Answer:

  8

Step-by-step explanation:

There are 15 -9 = 6 that are peanut and not small. Adding the 2 that are peanut and small, there are a total of 8 peanut M&Ms.

Answer:

8 peanut

Step-by-step explanation:

15 that are peanut or small

2 that are peanut and small

9 that are small

15 - 9 = 6  

There are 6 that are just peanut

and there are 2 that are peanut and small

6+2 =8 that are in the peanut category

Just help me with the error analysis, please I really need it.

Answers

Answer:

SA=744 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area mean the sum off every single area of the shape

so we have here two rectangle area= 14*13*2=364

and one  rectangle are in the bottom= 14*10=140 cm

and two triangle are= 10*12*2=240 cm

so the some of them is SA=364+140+240=744[tex]cm^{2}[/tex]

PLEASE HELP ANSWER WILL GET BRAINLIEST!!! What is the value of the expression (2 to the power of 4) squared.

Answers

Answer:

2^8 = 256

Step-by-step explanation:

(2^4)^2

We know that a^b^c = a^(b*c)

2^(4*2)

2^8

256

Answer:

256

Step-by-step explanation:

2^4 = 16

(2 x 2 x 2 x 2)

16^2 = 256

(16 x 16)

A 4 cup bottle of shampo costs 24.72 what’s the price per pint

Answers

Answer:

6.18

Step-by-step explanation:

4 cups ............... 24.72

1 cup ......................... x

x = 1×24.72/4 = 6.18

The answer to this is 6.18

I need the work and answer for this

Answers

Answer:

Step-by-step explanation:

h(x) = x² - 2x + 6

h(0) = 0  - 0 + 6 = 6

h(-2) = (-2)² -2*(-2) + 6

       = 4 + 4 + 6

       = 14

Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325.
Approximately how long did it take the mechanic to install the radiator?

Answers

Answer:

5 hours because 50 multiply by 5 is 250 and more 75 for radiator

having an issue with these 3 parts. I am on my last try.

Answers

Answer:

1.mi^3,cubic inches, m^3

2. a)24 b)72

3) 34/3pi meters

Step-by-step explanation:

any thing to the ^3 measures vo;ume

2. a) 4*6=24 b) 24*3=72

3. volume is πr2h

3

show the complete steps to change -x^2 + y^2 - 18x - 14y -132=0 to standard form.

Answers

Answer:

(x - 9)² + (y - 7)² = 262

Step-by-step explanation:

x² + y² - 18x - 14y - 132 = 0

Rearranging the equation:

y² - 14y + x² - 18x - 132 = 0

add 132 to both sides:

y² -14y + x² - 18x - 132 + 132 = 0 + 132

y² -14y + x² - 18x = 132

add to both sides the square of half of the coefficient of y (i.e (14/2)² = 49)

y² -14y + 49 + x² - 18x = 132 + 49

add to both sides the square of half of the coefficient of x (i.e (18/2)² = 81)

y² -14y + 49 + x² - 18x + 81 = 132 + 49 + 81

y² -14y + 49 - x² - 18x - 81 = 262

y² - 7y - 7y + 49 + x² - 9x - 9x - 81 = 262

y(y - 7) - 7(y - 7) + x (x - 9) -9(x - 9) = 262

(y - 7)(y - 7) + (x - 9)(x - 9) = 262

(y - 7)²+ (x - 9)² = 262

(x - 9)² + (y - 7)² = 262

(b) A hairdryer connected to the mains supply takes a current of 5.5 A.
(i) Which of these fuses should be used with the hairdryer?
(1)
ВА
3 A
DB 5A
С
7 A
OD 13 A
(ii) Explain your answer.​

Answers

Answer:

3a a hairdryer connected to the mains supply take a current of 5.5 A

answer by

Isha Pathak

HELP PLS !!
What is the area of this trapezoid?
Enter your answer in the box.

Answers

Answer:

A =315 cm^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 13+29) *15

A  = 1/2 (42)* 15

A =315 cm^2

Answer:

[tex]315 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \\ = \frac{1}{2} \times (a + b) \times h \\ = \frac{1}{2} \times (13 + 29) \times 15 \\ = \frac{1}{2} \times 42 \times 15 \\ = \frac{630}{2} \\ = 315 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

question in attachment

Answers

Answer:

Step-by-step explanation:

a₁₅ = 33.5  

S₁₅ = 240

So, there are 15 terms in this arithmetic progression. So, l = a₁₅ = 33.5

Sn = (n/2)(a+l)

[tex]S_{15}=\frac{15}{2}(a_{1}+l)\\\\240=\frac{15}{2}(a_{1}+33.5)\\\\240*2=15*(a_{1}+33.5)\\\\480=15*(a_{1}+33.5)\\\\\frac{480}{15}=a_{1}+33.5\\\\32=a_{1}+33.5\\\\32-33.5=a_{1}\\-1.5=a_{1}[/tex]

a₁ = - 1.5

Find the volume of this cylinder. Give your answer to one decimal place.

Answers

Answer:

1329.8 cm³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]

We are given the height of 14 cm, and the diameter of 11 cm.

The radius is half the diameter.

[tex]11/2=5.5[/tex]

The radius is 5.5.

I use 3.14 for pi:

[tex]V=3.14*5.5^2*14\\\rightarrow 5.5^2=30.25\\V=3.14*30.25*14\\\boxed{V=1329.79}[/tex]

1329.79 ≈ 1329.8

The volume of the cylinder should be 1329.8 cm³.

Three interior angles of a quadrilateral measure 55° 117° and 120° what is the measure of the fourth interior angle.
68 degrees
78 degrees
88 degrees
98degrees

Answers

Answer:

[tex] \boxed{x \degree = 68 \degree} [/tex]

Given:

Measure of three interior angles of a quadrilateral is 55° , 117° and 120°

Step-by-step explanation:

Let the fourth interior angle be 'x'

The Interior Angles of a Quadrilateral add up to 360°

[tex] = > x \degree + 55 \degree + 117 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 172 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 292 \degree = 360 \degree \\ \\ = > x \degree = 360 \degree - 292 \degree \\ \\ = > x \degree = 68 \degree[/tex]

What is the area of the squares with sides (2x-3)feet?​

Answers

Answer:

4x^2 -12x +9   ft^2

Step-by-step explanation:

The area of a square is

A = s^2 where s is the side length

A = (2x-3) ^2

A = (2x-3) (2x-3)

FOIL

first 2x*2x =4x^2

outer 2x (-3) = -6x

inner -3*2x = -6x

last -3*-3 = 9

Add them together

4x^2 -6x-6x +9

Combine like terms

4x^2 -12x +9

The area is 4x^2 -12x +9 ft^2

Answer:

[tex]= 4 {x}^{2} - 12x + 9 {ft}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = {x}^{2} \\ = (2x - 3)^{2} \\ = (2x - 3)(2x - 3) \\ = 2x(2x - 3) - 3(2x - 3) \\ = 4 {x}^{2} - 6x - 6x + 9 \\ = 4 {x}^{2} - 12x + 9 {ft}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please help with this

Answers

Answer:

It is D.

Step-by-step explanation:

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which
equation gives the measure of the central angle, o?
theta= 5/7
theta= 7/5
theta= 7 + 5
theta= 7 • 5

Answers

Answer:

A circle with radius of 5 feet would have a circumference of

(2*5*PI) = 31.4159265359  

This would mean the 7 foot arc would be (7 / 31.4159265359 ) or 0.2228169203  of the circle.

0.2228169203  * 360 = 80.2140913183  degrees

80.2140913183  degrees = 1.4 radians

and 7/5 = 1.4

Therefore the answer is the second one 7 / 5

Step-by-step explanation:

Answer:

The answer to this question is

2. B) Theta = Seven-fifths

The answers to the entire test (except for the ones i got wrong and don't know) are

1. B) pi/4 * 180/pi

2. B) Theta = 7/5

3. B) r = 14/6

4. ? (I know that it is not B) 45 * 180/pi)

5. C) 60°

6. D) 4pi

7. B) 19.1 in.

8. D) 7.1 cm

9. C) 150°

10. ? (I know that it is not C) 3pi/10, pi/2, 2pi/3, 60°, 255°)

Step-by-step explanation:

Just took it. Edg 2021. Hope this helps :) (smiley's name is George, George says hi)

Name three points that do not all lie in one of the planes shown in the diagram.
A. G, F, and /
B. E, F, and G
C. H, I, and J
D.P. M, and H

Answers

The answer is D.p.m & H
It’s D : P, M, and H

For the are A(0, 0) and B(4, 3) , the x value for the point located 2/3 the distance from A to B

Answers

Step-by-step explanation:

take the point as (x,y)

Which expression is the factorization of x2 + 10x + 212
O (x+3)(x + 7)
O (x + 4)(x+6)
O (X+6)x+15)
O(x + 7)(x+14)

Answers

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

[tex] {x}^{2} + 10x + 21[/tex]

[tex] = {x}^{2} + 3x + 7x + 21[/tex]

Next you have to take out the common factors and factorize it :

[tex] {x}^{2} + 3x + 7x + 21[/tex]

[tex] = x(x + 3) + 7(x + 3)[/tex]

[tex] = (x + 7)(x + 3)[/tex]

The right answer is (X+3)(X+7)

Please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

Daria is running a 30km race. She has completed 6km so far. What percent of the race has she completed?

Answers

Answer:

20%

Step-by-step explanation:

6/30 = .2 therefore she has ran 20% or 1/5 of the race

Given: Circle O with diameter LN and inscribed angle LMN Prove: is a right angle. What is the missing reason in step 5? Statements Reasons 1. circle O has diameter LN and inscribed angle LMN 1. given 2. is a semicircle 2. diameter divides into 2 semicircles 3. circle O measures 360o 3. measure of a circle is 360o 4. m = 180o 4. definition of semicircle 5. m∠LMN = 90o 5. ? 6. ∠LMN is a right angle 6. definition of right angle HL theorem inscribed angle theorem diagonals of a rhombus are perpendicular. formed by a tangent and a chord is half the measure of the intercepted arc.

Answers

Answer:

Inscribed angle theorem

Step-by-step explanation:

This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°,  because segment LN is the diameter of the circle. Then, by the theorem:

∠LMN = (1/2)*arc LN = (1/2)*180° = 90°

Answer:

B. Inscribed Angle theorem

Step-by-step explanation:

3.
Evaluate |-x - 2y1 for x = -5 and y = 5.

Answers

Answer:

|-(-5)-2(5)|=|5-10|

=5

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