Find the base of a triangle with an area of 45 square yards and a height of 20 yards.

Answers

Answer 1

Answer:

Base, b = 4.5 yards

Step-by-step explanation:

Given the following data;

Area of triangle = 45 square yards

Height = 20 yards

To find the base of the triangle;

Mathematically, the area of a triangle is given by the formula;

Area of triangle = ½ * b * h

Where;

b is the base of the triangle.

h is the height of the triangle.

45 = ½ * b * 20

90 = 20b

Base, b = 90/20

Base, b = 4.5 yards


Related Questions

The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?

1/25
4,225
25

Answers

Answer:

k = 25

Step-by-step explanation:

Given the following data;

Volume = 325 in³

Length = 13 inches

To find the constant of proportionality, k;

Mathematically, direct proportion is given by the expression;

V = kL

k = V/L

Substituting into the formula, we have;

k = 325/13

k = 25

Can some one help me ASAP

Answers

Answer:

To get the Angle

Cos=46/59

tita=

[tex] {cos}^{ - 1} [/tex]

46/59

tita=37.667

tita=38°

Calculate sales tax using the following information:
Taxable amount of the sale: $150
Sales tax percentage: 7%
What is the amount of the sales tax?
Round the answer to the nearest cent (hundredths).

Answers

A percentage is a way to describe a part of a whole. The amount of the sales tax is $10.5.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the taxable amount of the sale is $150, while the Sales tax percentage is 7%. Therefore, the amount of sales tax is,

Amount of sales tax = 7% of $150 = 0.07 × 150 = $10.5

Hence, the amount of the sales tax is $10.5.

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What is the measure of ADC in quadrilateral ABCD?

45°
65°
115°
135°

Answers

115 is the correct answer

The measure of angle ADC in quadrilateral ABCD is; 115°

What is the measure of the angle?

From the given quadrilateral ABCD, we see that ∠A = 115°

Now, we see that AB is congruent to CD and also AD is congruent to BC.

Since, we have such congruency it means that ∠A = ∠D.

Thus, ∠ADC = 115°

In conclusion, we can say that ∠ADC is 115°

Read more about angle in a quadrilateral at; https://brainly.com/question/17972372

What is the mean absolute deviation of the data: 3, 7, 8, 12, 16, 18 of each number. I tried to take a picture but it is too blurry. But pls hurry hurry!!!​

Answers

Answer:

[tex]M = 4.67[/tex]

Step-by-step explanation:

Given

[tex]Data: 3, 7, 8, 12, 16, 18[/tex]

Required

The mean absolute deviation

Start by calculating the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{3+ 7+ 8+ 12+ 16+ 18}{6}[/tex]

[tex]\bar x = \frac{64}{6}[/tex]

[tex]\bar x = 10.67[/tex]

The mean absolute deviation is then calculated using:

[tex]M = \frac{1}{n}\sum\limits^n_{i=1}|x _i - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{6}(|3 - 10.67| +|7 - 10.67| + |8 - 10.67| + |12 - 10.67| + |16 - 10.67| + |18 - 10.67|)[/tex]

[tex]M = \frac{1}{6}(|-7.67| +|- 3.67| + |-2.67| + |1.33| + |5.33| + |7.33|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{6}(7.67 +3.67 + 2.67 + 1.33 + 5.33 + 7.33)[/tex]

[tex]M = \frac{1}{6}*28[/tex]

[tex]M = 4.67[/tex]

Pls help me ASAP no scamming:-)

Answers

Hi this was a different question from normal but okay.

Answer:

There has been an high speed chase that lead to an injury of a young girl. Isaac midway had fled the seen at North West 22nd, around 2:56 pm. With the girl laying in the street with a broken leg and fractured ankle. Have any evidence call crime stoppers.

Step-by-step explanation:

This provides criminal, time and location and injury. Good luck.

One Night, The Criminal Mastermind, Arnold "Laughing" Jack Escapes From The Facility In New Orleans, And Proceeds To Murder 70 People, The Most Famous Spot Was His Murder Hotel Where He Mutilated 5 People In The Kitchen. The Injuries On The Bodies Were Similar To What Forensics Is The Equivalent Of, How Being Struck With A Curved Sword Would Be.

On Saturday, Emily's mother gave birth to twins and named them Nyra and Ishaan. When they were first born, Nyra weighted
3.96 kilograms , and Ishaan weighed
2.56 kilograms. How much did the babies weigh in total? ​

Answers

13 pounds I believe, but i’m not 100%

600 gallons of water is used to
fill aquariums. 100 gallons can
fill the small aquarium, and the
rest can fill 4 equal-sized bigger
aquariums. How much water
can be put in each of the bigger
aquariums?

Answers

Answer:

125 gallons

Step-by-step explanation:

Answer:

125 gallons

Step-by-step explanation:

600-100=500

500/4=125

125 gallons go in each of the bigger aqauriums

part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon

Answers

Answer:

c

Step-by-step explanation:

y=-2x-5
y=5x+6
Round to the nearest hundredth.

Answers

Step-by-step explanation:

-2x-5=5x + 6

-2x - 5x = 6 + 5

-7x = 11

x = -11/7

x = 1.571

y = 5(1.571) + 6

y = 7.855 + 6

y = 13.855

Help pls

Is either x = 7 or x = 9 a solution to 23 >19?
A. Neither is a solution.
B. They are both solutions.
C. x = 7 is a solution, but x = 9 is not.
D. x = 9 is a solution, but x = 7 is not

Answers

Answer:

b they are both solution

I think it’s B hope that helped

Solve for x.
-30 = 5(x + 1)
x=​

Answers

Answer: -7

Step-by-step explanation:

-30 = 5(x + 1)

-30 = 5x + 5.  ( After distrbuting the 5)

-5.            -5

-30 - 5. = 5x

-35 = 5x

x = -7

(3w-8)(5=w)=0 ,What is w?

Answers

Answer:

- 1. 5 as decimal

-3 / 2 as a fraction

Step-by-step explanation:

The net below represents a container. What solid figure does it show.

Answers

Answer:

Looks like a cuboid

Hope it helps :)

Have a great day!

Question :-

The net below represents a container. What solid figure does it show?

____________________

Solution :-

We can see that the given net has 12 edges, 6 faces and 8 vertices if we compile it up. These number of edges, faces and vertices are found in a cuboid or a rectangular prism. With this we can conclude that if we compile the given net, it will form a cuboid or a rectangular prism. So, the given net is of a cuboid or a rectangular prism.

____________________

Final Answer :-

The given net is of a cuboid or a rectangular prism.

____________________

The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the form y = m x + b

Answers

Answer:

y = -3x/4 + 25/4

Step-by-step explanation:

3x + 4y = 2

-3x          -3x

4y= -3x + 2

4y/4 = -3x/4 + 2/4

y = -3x/4 + 1/2    mx= -3x/4

y = -3x/4 + ?

-3x/4 = Right 4, Down 3 on a graph

( 3, 4)

-4  +3

Also goes thru the point (-1, 7)

                                          +1 -3/4

(0, 25/4 or 6.25)

y = -3x/4 + 25/4

Haven't done this in a while hope this helps :)

Hisoka had 10 little boys 3 of them ripened and he fought them how many little boys does he have left to fight

ok so the actual question
Do you want to join one of my cults I have:

-Pitou cult
-Kurapika cult
-L Lawliet cult
-Armin cult
-Giyuu cult
-and Gay phrog cult​

Answers

Answer:

7 lil boys i-

YE PLS ILL JOIN KURAPIKA CULT N ARMIN CULT- ofc gay frog cult 2 :3

Step-by-step explanation:

:3

Answer:

I wnat to jon Kurpaika cult please bestie

Step-by-step explanation:

AWOOOOOOOOOOOOOOOGA

6x-3y=3 in slope intercept

Answers

Answer:

the answer is 1 hshshebehdbdbdbbsbd

Step-by-step explanation:

+3 +3

6x=6

6/6=1

6x-3y=3 rewrite in slope intercept from is Y=2x-1

Are the fractions 2/8 and 1/4 equivalent ? True or False?

Answers

Answer:

True

Step-by-step explanation:

Equivalent fractions are fractions with different numbers representing the same part of a whole.

true
if you simplify 2/8 it equals 1/4

question in picture attached

Answers

Answer:

True

Step-by-step explanation:

Right angles (shown on the diagram) are perpindicular by definition.

Peter was in a line. There were twice as many students in front of him as behind him. Students (more than 3 but fewer than 9) left the line but Peter did not. Then twice as many students were behind Peter as in front. How many students left the line?

Answers

Answer:

6 people left

Step-by-step explanation:

4 behind him 8 infront 6 left from infront leaving 4 behind 2 infront

Answer:

6 students

Explanation:

x = the number of students in front of peter

y = the number of students behind peter

z = the number of students who left, for 3 < z < 9 ∴ z ∈ {4, 8}

system of equations:

x = 2y2(x-z) = y (assuming that the students who left were all among the students who are in front of peter)

x = 2y ⇒ y = x/2 (defining y with x)

2(x-z) = y (lets substitute y)

2(x-z) = x/2

2x-2z = x/2

2(2x-2z) = x

4x-4z = x

4x-x = 4z

3x = 4z

if z = 6 (i pluged the numbers from 4 to 8)

then

3x = 4×6

3x = 24

x = 24/3

x = 8

∴ y = 4

8 students were in front of peter and 4 were behind him

6 left

now 2 students are in front of peter and 4 are behind him

8 is twice 4

8-6 = 2

4 is twice 2

A pair of shoes costs $75, but you have a coupon for 15% off How much do the shoes cost after using the coupon?

Answers

Answer:

$63.75

Step-by-step explanation:

Find the period of the function. y = 5 cos one divided by two x

Answers

Answer:Scientists at the Mauna Loa observatory in Hawaii say that CO2 levels in the atmosphere now stand at 387 parts per million (ppm), up almost 40% since the industrial revolution and the highest for at least the last 650,000 years.

Step-by-step explanation:

an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double the investment?

Answers

Answer:

20 years

Step-by-step explanation:

9000/ 100= 900 = 10%

900/2= 450

450 x 2= 900

900 x 10= 9000

Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The number of years it will take to double the investment is 15 years.

What is compound interest?

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Principal = $9000

Rate = 5%

The formula is given as:

A = p [tex](1 + \frac{R}{100} )^{n}[/tex]

n = number of years

Double the investment:

Amount = 2 x 9000 = 18000

Now,

18000 = 9000 [tex](1 + \frac{R}{100} )^{n}[/tex]

2 = [tex](1 + 0.05)^{n}[/tex]

2 = [tex]1.05^{n}[/tex]

Taking log on both sides.

[ log a² = 2 log a ]

log 2 = n log 1.05

0.30 = n 0.02

n = 0.30 / 0.02

n = 15

Thus,

The number of years it will take to double the investment is 15 years.

Learn more about compound interest here:

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ANSWER ASAP DONT SEND A FILE. WHAT IS TRANSFORMATION SHOWN?

Answers

Answer:the answer Is the second option

Step-by-step explanation:

It is reflected across the it is rotated

Answer:

try the middle one and if it doesn't work say you pressed the wrong one when your teacher asks

Can anyone help me?

Answers

hey dear the answer is 0.185

Find the surface area of rectangular prism.
s=

Answers

Answer:

16

Step-by-step explanation:

For rectangular prisms you do L, W, H.

4 = Length

x

2 = Width

x

2 = Height

=

Volume = 2 x 2 x 4 = 16

~ LadyBrain

......................16

Dolve for theta. С 13 4 o o A B Your answer​

Answers

Answer:

θ ≈ 17.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan θ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{13}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{4}{13}[/tex] ) ≈ 17.1° ( to the nearest tenth )

identify the true statement:

A. Mammals are producers.
B. Plants are consumers
C. Birds are producers
D. Mammals are consumers​

Answers

Answer:

D, they eat so consumers.

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!! ALL LINKS WILL BE REPORTED!!!!!!!!!!!

Answers

Answer:

1. Dot Plot

2, The histogram

Which statement about the angle 0 is true

Answers

Answer:

Option C, sin(Ф) = 7/25

Hope this helps!

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