A parallelogram has an area of 150 square yards and a height of 5 yards.

what is the length of the base of the parallelogram?

enter your answer in the box. a parallelogram has an area of 150 square yards and a height of 5 yards.

what is the length of the base of the parallelogram?

enter your answer in the box.

Answers

Answer 1

The length of the base of the parallelogram that has a height of 5 yards and an area of 150 square yards is 30 yards

How to determine the base length?

The given parameters are:

Area = 150

Height = 5

The area of a parallelogram is:

Area = Base * Height

So, we have:

Base * 5 = 150

Divide both sides by 5

Base = 30

Hence, the length of the base of the parallelogram is 30 yards

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Related Questions


A survey asked a sample of vacationers how far they drove to get to their destination. What is the margin of
error if the interval estimate is (200 miles, 250 miles)?

What is the length of the interval?

Answers

The margin of error for the interval (200 miles, 250 miles) is 25 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and number.

The confidence interval = mean (m) ± margin of error (e) = m ± e

Hence:

m + e = 250    (1)

m - e = 200    (2)

From the both equations:

m = 225, e = 25

The margin of error for the interval (200 miles, 250 miles) is 25 miles.

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1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than . Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. (what do I type out or draw out)

Answers

Answer:

So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

slove this math problem​

Answers

Answer:

That's all

Step-by-step explanation:

1-We find 5% of 200

2-Cross multiply

3-add 5% of 200 to the original price

Find the indicated missing angle measure. Solve for the value of 0. Round to the nearest whole degree.

Answers

Answer:

67 degrees

Step-by-step explanation:

Calculator!

Which expressions are equivalent to 25x4 −64? select three options. 25x4 40x − 40x − 64 25x4 13x − 13x − 64 (5x2 8)(5x2 − 8) (x2 13)(x2 – 13) (5x2 – 8)2

Answers

The three expressions that the given expression is equivalent to are, (5x^2-8)(5x^2+8), [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

Difference of two square

The standard expression for difference of two square is given as:

a^2- b^2 = (a-b)(a+b)

Given the equation

[tex]25x^4 -64[/tex]

This can also be expressed as:

[tex](5x^2)^2-8^2\\(5x^2-8)(5x^2+8)[/tex]

This expression is also equivalent to [tex]25x^4 + 40x - 40x - 64[/tex] and [tex]25x^4 + 13x - 13x - 64[/tex]

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What is the sum of the first 45 terms of the sequence?
-282,-266,-250,-234,...
S45 =

Answers

Use the attachment (It has a full explanation and answer).

Find the Lowest Common Multiple of a and b.

Answers

Answer:

181104

Step-by-step explanation:

2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104

Answer:

181104

Step-by-step explanation:

2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 11 = 181104

pls help w b. also not sure if what ive written down is right

Answers

Answer:

See below

Step-by-step explanation:

b) 200 ft = -16 (t-2)^2  + 400

      200 / 16 = (t-2)^2

           sqrt (12.5 ) = t-2

              2 + sqrt (12.5)  = t  

A company that manufactures playing cards ensures the cards can be stacked in a deck and
placed in a box to be sold. Which units are most appropriate for measuring the thickness of a
playing card?

Answers

The appropriate units to measure the thickness of a playing card would likely be millimeters.

The sides lengths 4, 6, 9 can be used to form the sides of a triangle.

Answers

Answer: Yes

Step-by-Step Explanation:

We can simply use the Triangle Inequality Theorem which states that the sum of 2 sides of a triangle is greater than the third side.

Therefore,
=> 4 + 6 = 10 (Greater than 9)
=> 6 + 9 = 15 (Greater than 4)
=> 4 + 9 = 13 (Greater than 6)

Hence the side lengths 4, 6, 9 can be used to form the sides of a triangle.

If x > 3, Which of these numbers could be a possible number for x?
A. 3
B. -22
C. 0
D. 4
(will mark brainliest)​

Answers

Answer:

D. 4

Step-by-step explanation:

x is greater than 3, which means x has to be a higher number. the only option here that is higher than 3 is 4.

Answer:

D

Step-by-step explanation:

the Awnser is D because x is greater than three and 4 is the only number listed that is larger than 3

I need help with this question !!

Answers

Answer:

K^1= (-8,10)

L^1 = (-4,10)

m^1 =(-5,10)

Step-by-step explanation:

all you have to do is move the points 90 degrees counterclockwise, which then you would get the points above.

Help me with theses problems

Answers

Answer:

1: 22cm   2: 30m 3: 78.54

Step-by-step explanation:

1: (6x2)+(5x2)

     12+10

         22

2:  11+4=15

   15x2

      30

3:  25/2=12.5

      3.14x2=6.28

12.5x6.28=78.54

Light bulbs manufactured at a certain factory have a 3% probability of being defective. what is the probability that 5 out of a shipment of 30 will be defective? a. 0.25 b. 0.0016 c. 0.0035 d. 0.167

Answers

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that 5 out of a shipment of 30 will be defective is 0.001617.

What is Binomial distribution?

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The probability of the bulb being defective is 3%(0.03) and the probability of the bulb not being defective is 97%(0.97).

Now, it is needed to be found that the probability that 5 out of a shipment of 30 will be defective can be written as,

P(x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

P(x=5) = ³⁰C₅ (0.03)⁵ (0.97)²⁵

P(x=5) = 0.001617

Hence, the probability that 5 out of a shipment of 30 will be defective is 0.001617.

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Select the expression that simplifies to 1 / x^1/8

Answers

Answer:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}[/tex]

Step-by-step explanation:

[tex]\left(\displaystyle \sqrt[3]{x^{-\tfrac 35}}\right)^{\tfrac 58}\\\\\\=\left[ \left(\displaystyle x^{-\tfrac 35} \right)^{\tfrac 13 \right]^{\tfrac 58}\\\\\\=\left( \displaystyle x^{-\tfrac 35}\right)^{\tfrac 5{24}}\\\\\\=x^{ \displaystyle -\tfrac{3}{24} \right}\\\\\\=x^{\displaystyle -\tfrac 18 }\\\\\\=\dfrac 1{x^{\tfrac 18}}[/tex]

1 is greater than w, and -5 is less than w.
Use w only once in your inequality.

Answers

Answer: As an inequality —> -5 < w < 1

13. Solve the system of equation using substitution.
5x – 2y = 33
y = 7x – 39

Answers

Answer:

The correct answer is x=5

What is the third angle of a right triangle if one of the angles measures 51.1 degrees

Answers

Answer:

38.9°

Step-by-step explanation:

The three angles in a triangle add up to 180°. Also, a right triangle has a right angle in it. A right angle is 90°.

90° + 51.1° + x = 180°

141.1 + x = 180°

subtract 141.1°

x = 38.9°

ANSWER ASAP!!! 25 POINTS!!!

In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the others? Describe the method in your own words, and give an example of a quadratic equation that could be solved with this method. Show and explain the steps for solving the equation.

Please follow these guidelines for your discussion posts:

Write at least 150–300 words.
Make sure your posts are grammatically and mechanically correct.
Address all parts of the prompt.
Provide at least one example to support your response. (Example choices include an anecdote, statistic, and/or textual evidence.)

Answers

Quadratic formula – is the method that is used most often for solving a quadratic equation. If you are using factoring or the quadratic formula, make sure that the equation is in standard form.

There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.

please help me solve this

Answers

Answer:

1364.26 mm^2

Step-by-step explanation:

If this is correct: side length a =

30

side length b =

10

side length c =

24

prism height h =

18

then the answer would be 1364.26 mm^2

(a) state the value of cos(30°)
(b) state the value of sin(30°)

Answers

Square root 3/2
1/2

A Ferris wheel is designed in a way that the height h(t), in feet, of the seat above the
ground at time in seconds, t, is modeled by the function: h(1) - 60 - 55 sin
10
How
long does the ride take to complete one revolution?

Answers

Answer:

hot potato

Step-by-step explanation:

Find the surface area of a square pyramid with side length 3 km and slant height 3

Answers

Answer:

27 km²

Step-by-step explanation:

Surface Area :

Area (4 triangles) + Area (square)4 x 1/2 x 3 x 3 + 3 x 318 + 927 km²

Answer:

Total surface area = 27 km²

Step-by-step explanation:

The surface area of a square based pyramid comprises:

4 congruent triangles (sides)1 square (base)

Area of a triangle = 1/2 × base × height

                             = 1/2 × 3 × 3

                             = 4.5 km²

Area of a square = (side length)²

                            = 3²

                            = 9 km²

Total surface area = 4 triangles + square base

                              = (4 × 4.5) + 9

                              = 18 + 9

                              = 27 km²

solve for x !
[tex]\longrightarrow\bold{4x {}^{2} + 10x + 4 = 0}[/tex]

ty! ~​

Answers

Step-by-step explanation:

We could easily solve this by factoring.

Given eqn:

[tex]\rm{4x ^{2} + 10x + 4 = 0}[/tex]

Solution:

Factor left side:

[tex] = > 2(2x + 1)(x + 2) = 0[/tex]

Write the factors to 0 to get our solution:

[tex] = > 2x + 1 = 0[/tex]

[tex] = > \boxed{ x = - \cfrac{1}{2} }[/tex]

or else,

[tex] = > x + 2 = 0[/tex]

[tex] = > \boxed{ x = - 2}[/tex]

[tex] \rule{225pt}{2pt}[/tex]

Function g can be thought of as a scaled version of f ( x ) = ∣ x ∣

Answers

Using translation concepts, it is found that the equation for function g(x) is given by:

[tex]y = -\frac{2}{3}|x|[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = |x|.

Researching the problem on the internet, function g(x) was reflected over the x-axis, and compressed by a factor of 2/3, hence it is multiplied by -2/3(negative due to the reflection), and the equation for function g(x) is given by:

[tex]y = -\frac{2}{3}|x|[/tex]

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Work out the length of x
(The diagram is not drawn accurately)

Answers

Answer:

x = 7

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 24² = 25²

x² + 576 = 625 ( subtract 576 from both sides )

x² = 49 ( take square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Hey ! there

Answer:

Length of x is 7 cm

Step-by-step explanation:

In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .

For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,

[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

H refers to Hypotenuse

P refers to Perpendicular

B refers to Base

SOLUTION : -

Here in the triangle ,

Hypotenuse is 25 cm

Base is 24 cm

Perpendicular is x

Applying Pythagorean Theorem :

[tex] \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} [/tex]

On squaring 24 and 24 we get ,

[tex] \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476[/tex]

Subtracting 576 on both sides :

[tex] \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}[/tex]

We get ,

[tex] \quad \longmapsto \qquad \:49 = (x) {}^{2} [/tex]

Applying square root on both sides :

[tex] \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } [/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar[/tex]

Henceforth , length of x is 7 cm .

Verifying : -

We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,

( 25 )² = ( 7 )² + ( 24 )²

625 = 49 + 576

625 = 625

L.H.S = R.H.S

Hence , Verified .

Therefore, our answer is correct .

#Keep Learning

Genevieve is in charge of creating a five-digit code to lock and unlock a secure cabinet. she can use any code from 0 through 9 and she could use each digit as many times as she wants she knows wants to start the code with a prime number. how many possible codes that start with the prime number could Genvieve create?

A.40,000
B.50,000
C.400,000
D.500,000

Answers

Answer:

40,000

Step-by-step explanation:

I took the test

There are 40,000 possible codes that start with the prime number could Genvieve create.

For the first digit, Genevieve wants to start with a prime number.

The prime numbers between 0 and 9 are 2, 3, 5, and 7.

So, there are 4 choices for the first digit.

For the remaining four digits, she can choose any number from 0 through 9, including the prime numbers.

Since there are 10 choices for each of the four remaining digits, the total number of possible codes for those digits is 10⁴.

To calculate the total number of possible codes that start with a prime number, we multiply the number of choices for the first digit (4) by the number of choices for the remaining four digits (10⁴):

4 × 10⁴ = 40,000

Therefore, the correct answer is A) 40,000.

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All of the members of the harvey family are very
tall. their heights are 84 inches, 84 inches, 77
inches, 63 inches, 70 inches, 70 inches and 'x'
inches. if the mean height of the family members
is 75 inches, about how tall is person 'x' ?
77 inches
84 inches
70 inches
63 inches

Answers

Answer:

77 "

Step-by-step explanation:

'mean' is the average of all of the heights

( 84 + 84  + 77 + 63 + 70 + 70  + x) / 7 = 75

  x = 77

how many times larger than 3*10^2 is 12*10^4

Answers

Hey there!

3 * 10^2

= 3 * 10 * 10

= 3 * 100

= 300


AND

12 * 10^4

= 12 * 10 * 10 * 10 * 10

= 12 * 100 * 100

= 12 * 10,000

= 120,000


SIMPLIFYING the ANSWER


120,000 - 300

= 119,700

≈ 100,000


Therefore, your answer should be:

100,000


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

tony's friends ate 0.6 of the appetizers he made which point on the number line best represents 0.6?

Answers

Answer:whichever # is closest to 0.6 round up to 1 or 60%

Step-by-step explanation:

Answer:

round your answer to 0.6

Step-by-step explanation:

for example 0.58 rounds up to 0.6

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