10. The perimeter of the rectangle below is 30 inches. Find the value of x.
5x
X-3

Answer:

Step-by-step explanation:

Step-by-step explanation:  As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.

See the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.

Now, in ΔADB, we have

AD^2=AB^2-BD^2

AD^2=AB^2-(1/2AB^2)^2

AD=√3/4AB^2

we can find the height of any one of the roof's triangular bases.

2.1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythagorean theorem, as shown in the picture, the height is √3/2a

2. if a=25 ft, then the height is  √3/2a=√3/2*25=1.732/2*25=21.7(ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l

the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is 2*(1/2*a*√3/2a)=√3/2a^2  

so the total area of the roof is  

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.

So the total area found previously will be decreased by al

5. so the area now is √3/2a^2 + 2al  

6. now a=25 and l=2a=50

Area= √3/2a^2+2al=√3/2*25^2+2*25*50=25^2(√3/2+4)=625*4.866

=3041.3 (ft squared)

Answer:

42.71

Step-by-step explanation:

268.26-12.00=256.26 total owed

256.26/6 payments =42.71

Answer:

x=9

Step-by-step explanation:

Use the triangle Similarity theorem. First, make a proportion.

--------------------------------------------------------------------------------------------

21 / 77 is equal to 30 / 11x + 11         then solve.

Step 1: Cross-multiply.

21*(11x+11)=(30)*(77)

231x+231=2310

Step 2: Subtract 231 from both sides.

231x+231−231=2310−231

231x=2079

x=9

HOPE THIS HELPS!

Answer:

r=3×(8-6)

r = 6

.............

Answer:

cancel terms that are in both the numerator and denominator

r/r/3+6=8

1/1/3+6=8

add the numbers

result

19/3=8

the input is a contradiction:it has no solutions

Answer:

420

Step-by-step explanation:

15%= 0.15

2800*0.15= 420

Answer:

Step-by-step explanation:

The box plot that shows this information is given at the end of the problem.

It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.

For this problem, the measures are given as follows:

The box plot with these data is given at the end of the answer.

More can be learned about a box plot at https://brainly.com/question/28160012

#SPJ1

Answer:

It ends on the half circle

Step-by-step explanation:

You are looking at the base of each shape. It starts with a triangle so you go down. Then the base of that is a rectangle so you go down again and so on. Therefore your answer is a half circle.

42.57 x 46630= 75769 =3794874 =37489438790=3474936

Answer:

6.

18+18 = 36

hence

x = 16

7.

x = 7 × 2

x = 14

Answer:

Step-by-step explanation:

7. <A + <B = 180° [Since Co-interior angles]

=> 51° + <B = 180°

=> <B = 180° - 51°

=> <B = 129° (Ans)

8. <M + <N = 180° [Since Co-interior angles]

=> 95° + <N = 180°

=> <N = 180° - 95°

=> <N = 85° (Ans)

Answer:

4 multiplied by 1. 3/4

Step-by-step explanation:

4 x 7/4 _____answer 7

Answer:

1921.67

1922 to the nearest whole number

Step-by-step explanation:

Cylinder

V = pi*r^2 * h

pi = 3.14

r = d/2

r = 12/2

r = 6

h = 13

V = 3.14 * 6^2 * 13

V = 1469.52

1/2 Sphere

V= 2/3 * pi * r^3

r = 6

pi = 3.14

V = (2/3) 3.14 * 216

V = 452.2

Total Volume

V_tot = 452.2 + 1469.52

V_tot = 1921.67

Answer:

19,683

Step-by-step explanation:

Answer:

last option; P = 2(8) + 2(12)

Step-by-step explanation:

perimeter is the sum of all sides

in a rectangle, opposite side are equal to you can double the sides that are equal and then add them together

Answer:

Dfrew

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )

m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then

[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators

x - 2 = 7 ( add 2 to both sides )

x = 9

Answer:

tell whether the number 13 is prime or composite

Answer:

x = 5

Step-by-step explanation:

Simplify the like terms:

15x - 8x = 7x

so, 7x = 35

divide: 35/7 = 5

x=5

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

Answer:

14 minuts.

Step-by-step explanation:

350 divided by 25 is 14.

Please mark brainiest tysm

Answer:

e

Step-by-step explanation:

Answer:

13/3

Step-by-step explanation:

Try it

Answer:

1) C. 4 - 3·i

2) D. The second graph shares the same vertex, is inverted, and opens wider than the first graph

3) C. y = (x - 2)² + 3 would shift right two units

4) B. Figure B' is congruent but not similar to figure B

5) A. m∠k' = m∠k

Step-by-step explanation:

1) Given that the real part of the complex number = 4

The imaginary of the complex number = -3

The general form of representing complex numbers is z = a + b·i, we have;

The binomial equivalent to the complex number is z = 4 - 3·i

2) The first graph equation is y = 2·x²

When x = 1, y = 2 and when x = 2, y = 8

The vertex = (h, k)

Where;

h = -b/(2.a) and b = 0, a = 2

∴ h = 0/(2 × 2) = 0

h = 0

k = f(h) = f(0) = 2 × 0² = 0

k = 0

The vertex, (h, k) = (0, 0)

The coefficient, 'a' is positive, therefore, the graph opens down

The second function, y = -(1/2)·x² also has a vertex (h, k) = (0, 0)

The coefficient, 'a' is positive, therefore, the graph opens up

When x = 1, y = -1/2 and when x = 2, y = -2

Therefore, the second function is wider

Therefore;

The second graph shares the same vertex, is inverted, and opens wider than the first graph

3) The given functions are;

First function; y = x² + 3 and second function; y = (x - 2)² + 3

First function;

When x = 1, y = x² + 3 = 1 + 3 = 4

∴ When x = 1, y = 4

Second function;

When y = 4, y = 4 = (x - 2)² + 3

√(1) = x - 2

x = 3

∴ When x = 3, y = 4

First function;

When x = 2, y = x² + 3 = 4 + 3 = 7

∴ When x = 2, y = 7

Second function;

When y = 7, y = 7 = (x - 2)² + 3

√4 = 2 = (x - 2)

x = 2 + 2 = 4

x = 4

∴ When x = 4, y = 7

Therefore, the second function, y = (x - 2)² + 3, has the x-value shifted 2 units to the right for a given value of 'y'

4) The lengths of the sides of figure B are 3 by 4, the lengths of the sides of figure B' 4.5 by 6

The ratio of the corresponding length and width of figures B and B' are;

3/4.5 = 4/6

Therefore, figure B' is similar but not congruent to figure B

5) A rotation and a reflection are rigid transformations and therefore, the dimensions and measure of the original figure and the image are the same;

∴ m∠k' = m∠k.

Answer:

The bigger the number you divide by (the divisor), the smaller the resulting shares. Picture: Split a single pizza between 2 people, and each gets 1/2 a pie. Compare that to splitting it among 4 people - now each person gets less: only 1/4 each. 8 people? Still less: 1/8. Split the single pizza among 100? … Each gets, well, barely a bite! Suppose we start with 2 whole pizzas. Split between 2 people, now each gets 1 whole pie. Divide among 4, each gets 1/2 pie. Divide 8 ways, each gets 1/4.

The value of the fraction when 1/4 is divided by 2 is 1/8

Suppose we've to divide 'a' by 'b'

We write it as: [tex]a \div b[/tex]
This can be written in fraction form as:

[tex]a\div b = \dfrac{a}{b} = {a} \times \dfrac{1}{b}[/tex]

For this case, we have to divide 1/4 by 2 and express it into fraction form.

Thus, we get:

[tex]1/4 \div 2 = \dfrac{1/4}{2} = \dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}[/tex]

Thus, the value of the fraction when 1/4 is divided by 2 is 1/8

Learn more about fractions here:

https://brainly.com/question/483643

Answer:

Below.

Step-by-step explanation:

You need to know the volume or total surface area of the prism and 2 of the dimensions.

The formula for the volume = wlh   where w = width , l = length and h = height.

So knowing say w = 4, l = 8 and V =  192 we have:

V = wlh

192 = 4 * 8 * h

h = 192/4*8

= 192/32

= 6.