A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2

Answer:

Step-by-step explanation:

This is simple, but the extra numbers given in the form of the specific times might throw you off.

If Garrett leaves at noon and at 7 Ben is some distance ahead of him, that means that Garrett has been driving for 7 hours. Ben left at 2, so at 7 pm he has been driving for 5 hours. That's part of what's confusing. We'll put that in a table to hopefully make things easier:

              d      =       r      *        t

G                                             7

B                                             5

We also know that Garrett is driving at 10 km/h, so:

              d        =        r        *        t

G                               10       *        7

B                                 r                 5

The r is because Ben's rate is our unknown. Look at the top of the table. That is the formula we are going to use to solve this problem: d = rt.

If Garrett drives for 7 hours at 10 km/hr, then the distance he has traveled is 70 km (that's found by multiplying the rate of 10 km/h by the time of 7 hours). Ben's rate, along those same lines of reasoning, is 5r. Fill that in:

            d        =        r        *        t

G         70       =       10       *       7

B         5r        =        r        *       5

Ok now the table is filled out. Let's look at the rest of the problem. It says that at 7 pm Ben's distance is 15 km more than Garrett's distance. The words "more than" indicate addition. In words that is

"Ben's distance is Garrett's distance plus 15 km" which translates to, mathematically speaking:

5r = 70 + 15 and

5r = 85 so

r = 17

Ben's rate is 17 km/h, choice a.

Answer: 20 boxes

Step-by-step explanation:

First and foremost, we need to know that 1 foot = 12 inches. Therefore, 1500 feet will be converted to inches and this will be:

1500 feet = 1500 × 12 = 18000 inches

Since each group of box requires 900 inches, then the number of group of boxes that can be used in this case will be:

= 18000/900.

= 20 groups of boxes

Answer:

384 square units

Step-by-step explanation:

Square prism = Cube

Formula for finding the surface area of a cube = L x L (6)

Surface area = 8 x 8 (6)

Surface area = 64(6)

Surface area = 384 square units

Answer:

384 units squared

Step-by-step explanation:

Square 8 and then multiply by 6.

Answer:

V = 8 m/s

Step-by-step explanation:

 Assuming that the object was at rest, so μ = 0

Equations

F=ma - Newtons 2nd law

[tex]v^{2} = u^{2} + 2a[/tex]Δx - 4th kinematic equatioin

Step 1 - find "a"

F=m/a

a=F/m

a=80/10

a=8m/s^2

Step 2 - find "v"  

v^2 = 0 + 2 * 8 * 4

v^2 = 64    

v=8m/s

Answer:

25%

Step-by-step explanation:

1 ÷ 4 = 0.25

0.25 x 100 = 25 = 25%

Answer:

D

Step-by-step explanation:

The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.

In This case A + B = 140

A = x + 2

B = 2x

x +2 + 2x = 140

3x + 2 = 140                     Subtract 2 from both sides

3x = 138                           Divide by 3

x = 138/3

x = 46

<B = 2x

<B = 2*46

<B = 92

Answer:

it already is in that form

y = 6x

technically Y = 6x + 0 could be the answer...

but in math we tend to not rite "obvious"  information

to reduce clutter and confusion

+1[tex]x^{1}[/tex] is technically correct but we drop the + sign for positive numbers

and also drop the exponent if it is a 1 ... similarly

+1[tex]x^{1}[/tex] + 0 + 0 + 0  would also be silly and we don't write the zeros

+1[tex]x^{1}[/tex] + 0 + 0 + 0 = x

Step-by-step explanation:

Answer:

B, [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.

As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

([tex]2,-1[/tex]),  ([tex]4,-2[/tex])

[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]

[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]

Answer:

A

or

the top right option

or

0.5 + 0.1875

Step-by-step explanation:

We know D or 9 divided by 16 is the same as 9/16, so just solve for that.

Then solve for the others and find the ones that doesn't equal 9/16.

Answer:

f(x) -5x

g(x) -85x²

f(x) . g(x)

-90x

Answer:

36x³ + 25x² + 12x + 2

Step-by-step explanation:

f(x) × g(x)

= (- 4x - 1)(- 9x² - 4x - 2)

Each term in the second factor is multiplied by each term in the first factor

- 4x(- 9x² - 4x - 2) - 1 (- 9x² - 4x - 2) ← distribute parenthesis

= 36x³ + 16x² + 8x + 9x² + 4x + 2 ← collect like terms

= 36x³ + 25x² + 12x + 2

Answer:

(√366 - 3)/24

Step-by-step explanation:

Given the following:

cos∝ = √3/8 and sinβ = √3/3

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Get sin∝

Since cos∝ = √3/8

adj = √3

hyp = 8

opp = √8² - (√3)²

opp = √64 - 3

opp = √61

Recall that sin∝ = opp/hyp  

sin∝ = √61/8

Get cosβ

Since sinβ =  √3/3

opp = √3

hyp = 3

adj =√3² - (√3)²

adj = √9-3

adj = √6

Recall that cosβ = adj/hyp

cosβ = √6/3

Substitute the gotten values into the formula

Sin(∝-β) = sin∝cosβ - cos∝sinβ

Sin(∝-β) = ( √61/8)(√6/3)- (√3/8)(√3/3)

Sin(∝-β) = √366/24 - √9/24

Sin(∝-β) = (√366 - 3)/24

Answer:

b

Step-by-step explanation:

area of triangle = 1/2 x c x d =cd/2

area of semicircle = 1/2 x π x r^2 = 1/2 x π x (a/2)^2 = 1/2 x π x a^2/4 =πa^2/8

area of shape = area of triangle + area of semicircle

The question is incomplete. The complete question is :

Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex]  be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.

Answer:

2.4

Step-by-step explanation:

 Given :

[tex]p(t) = -0.0375t^2 + 0.225t[/tex]

Mean :

[tex]$=\int_0^4 tp (t) \ dt$[/tex]

[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]

[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]

[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]

[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]

[tex]$=-2.5 + 4.8$[/tex]

= 2.4

Therefore, the mean is 2.4

Answer:

1 and 3 are congruent

Answer:

Angle 1 and angle 3 are congruent

Answer:

The correct answer is 6.768.

Step-by-step explanation:

(4.23)(1.6) = 6.768

Answer:

6.768

Step-by-step explanation:

(4,23)(1.6)=6.768

Answer:

here,

3x-3x=

[tex] {x}^{2} - {x}^{2} [/tex]

x=0

Answer:

See explanation

Step-by-step explanation:

Your question is different from the attachment

Statement 1

1 adult + 5 Children

$4 for adult and total of $16 for both adult and children

Let

Cost of children skating = x

The equation is

4 + 5x = 16

Statement 2:

Cost of making a bike bag= $4

Selling price of the bike bag = $5

Profit = $16

Let x = number of bike bag

Profit = selling price - cost price

16 = 5x - 4x

16 = x(5 - 4)

Also written as

(5 - 4)x = 16

Statement 3:

Initial temperature = 16°C

Change in temperature per hour = 4°C

Final temperature = 5°C

Let

x = number of hours it changes

16 - 4x = 5

Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3

length of first yo-yo = 1 3/4

length of second yo-yo = 1

Length of third yo-yo = x

Total = 4 1/3

Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo

4 1/3 = 1 3/4 + 1 + x

4 1/3 = 2 3/4 + x

4 1/3 - 2 3/4 = x

13/3 - 11/4 = x

(52-33) / 12 = x

19/12 = x

x = 1 7/12

Answer:

Equation is y = mx + 2

Step-by-step explanation:

General equation of line:

[tex]{ \boxed{ \bf{y = mx + b}}}[/tex]

Substitute in considerance of the question:

[tex]{ \sf{ y = mx + 2}}[/tex]

If m is given, substitute for m to the answer.

Answer:

the second one (the one on the bottom)

Step-by-step explanation:

An odd function is where f(x) = -f(x), and therefore is unchanged when rotated 180 degrees about the origin. This results in the bottom graph.

Answer:

3×5×7×11=1155

a.1155 the answer

3×5×7×11=1155

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.

Given

3×5×7×11=1155

To learn more about prime factors refer to:

https://brainly.com/question/1081523

#SPJ2

Answer:

Yes it can be right angle triangle

Answer:

x = 27°

Step-by-step explanation:

180° - 72° = 108°

108° / 4 = 27°

72° + (27° * 4) = 180°

Hope it helps!

Answer:

UWUNOE BRO HUUZEM HIHUDHS

Step-by-step explanation:

Answer:

Hence the answer is Letter B.

Step-by-step explanation:

° ° °

ill add you if you follow my t i k t o k(:

Answer:

A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)

B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)

C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)

Step-by-step explanation:

The given function is P(x) = (x + 3)² + 2

The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)

By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)

A) A function f(x) translated α units UP gives

f(x) (translated α units UP) → f(x) + α

A translation of the function 3 units UP is given by adding 3 to the given function as follows;

Q(x) = P(x) + 3

∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5

Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)

B) A function f(x) translated b units RIGHT gives;

f(x) translated b units right → f(x - b)

∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;

P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2

R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)

C) A function translated α units DOWN and b units RIGHT is given as follows;

[tex]f(x) \ translated \ by\ \dbinom{b}{a} \rightarrow f(x - b) - a[/tex]

Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;

[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)[/tex]

S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5

[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)[/tex]

S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)

A 30-60-90 triangle follows a unique pattern. It's hypotenuse is double the shortest leg and its longest leg is the shortest leg times the square root of 3.

In this case, we are given the hypotenuse. The hypotenuse is 2 times the shortest leg, so the shortest leg, f, must be 10.

Then, the longest leg of the triangle is the shortest leg times the square root of 3. Therefore, the longest leg is 10 times sqrt(3).

Hope this helps!

Step-by-step explanation:

2+2=4

two plus two is four

Step-by-step explanation: