Richard and Kelly were racing. How many possible ways could the 2 friends place? They are the only racers.

Answer:

e

Step-by-step explanation:

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:

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.

Answer:

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

42.57 x 46630= 75769 =3794874 =37489438790=3474936

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:

#7

Ratio of corresponding sides (determined by opposite angles)

The ratios are equal, the polygons are similar

# no number

Ratios:

Yes, similar

# 8

The triangles are isosceles.

The ratios of bases and sides:

B. ABC ~ MNO, SSS

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:

tell whether the number 13 is prime or composite

Answer:

42.71

Step-by-step explanation:

268.26-12.00=256.26 total owed

256.26/6 payments =42.71

The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.

In general terms:

‎      ‏‏‎

In this exercise:

Let's apply the distributive property:

[tex]\mathsf{2(3w - 5y)}[/tex]

[tex]= \mathsf{2(3w) - 2(5y)}[/tex]

[tex]= \boxed{\mathsf{6w - 10y}}[/tex]

‎      ‏‏‎

‎      ‏‏‎

Answer:

19,683

Step-by-step explanation:

Answer:

13/3

Step-by-step explanation:

Try it

Answer:

y = - [tex]\frac{7}{4}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{7}{4}[/tex] and c = 5 , then

y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line

Answer:

14 minuts.

Step-by-step explanation:

350 divided by 25 is 14.

Please mark brainiest tysm

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.

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:

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:

4 multiplied by 1. 3/4

Step-by-step explanation:

4 x 7/4 _____answer 7

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

Answer:

Michaela scored 140/5 = 28 points; Aleah scored 140/10 = 14 points.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Simplify the like terms:

15x - 8x = 7x

so, 7x = 35

divide: 35/7 = 5

x=5

Answer:

420

Step-by-step explanation:

15%= 0.15

2800*0.15= 420

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:

Step-by-step explanation:

hello :

put x = -5 in this equation : a(4-x) =-3x + b

a(4+5) =15 + b

9a = 15 +b

b = 9a - 15

the values of a and b is all order  pair :   ( a  ; 9a-15)  a real number