The base of a triangle is 3cm greater than the height. The area is 14cm. Find the height and base of the triangle.

Answers

Answer 1
the base....b
the height....h
b*h/2=14 
b=h+3
h*(h+3)=28
h*(h+3)=4*7
h=4 cm , b=7 cm
Answer 2
Hello There!

base x height/2 = 14
base x height = 28
Base - height = 3
Base = 7
Height = 4.

Hope This Helps You!
Good Luck :) 

- Hannah ❤


Related Questions

T-1
—— = 12. What is t
2
7+a
-4= ——. What is a
5

Answers

For 3.) you would multiply both sides by 2

t-1=24

Then add

t=22

For 4.) multiply by 5

 -20= 7+a

Then subtract

-27=a                                Hope this helps!

Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712

Answers

Final answer:

The difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712 is 47.2208.

Explanation:

The difference between the product and the sum can be found by first calculating the product of 26.22 and 3.09 and then calculating the sum of 3.507, 2.08, 11.5, and 16.712. Once both of these values are calculated, subtract the sum from the product to find the difference.

To calculate the product of 26.22 and 3.09, you would multiply these two numbers:

26.22 × 3.09 = 81.0198

To calculate the sum of 3.507, 2.08, 11.5, and 16.712, you would add these numbers together:

3.507 + 2.08 + 11.5 + 16.712 = 33.799

Finally, to find the difference, subtract the sum from the product:

81.0198 - 33.799 = 47.2208

The difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712 is 47.2208.

A cold wave hit Chicago when the temperature hits 62°F during the cold wave the temperature dropped 2° every hour how many hours was it before the temperature was below 40°F

Answers

For this problem, an important thing to note is how the question says that 'the temperature dropped', meaning that it went down.

This means that the 2 degrees is actually negative.

Then you multiply the change in degrees by hours past:

(−2)×6=−12

Final Answer:

−12∘F

If you are looking for an inequality, the answer is 62-2x<40

8 1/10 as a decimal

Answers

1/10 as a decimal would be 0.1. Now just add the 8 to it and it would be 8.1.
8.1 cause when any thing is divided by ten the decimal places behind the tens number

The Rodriquez family drove 115 miles on 5 gallons of gasoline. Which equation can be used to find how far they can travel on a full 18 gallon tank of gasoline?

Answers

5/115 = 18/x I Believe.
115/5=x/18, divide 115 by 5 equals x divided by 18

a family of 4 spend $104 for tickets to a concert all of the tickets were the same price what was the cost of each ticket?

Answers

Hello There!

104 / 4 = 26
It was $26 per ticket.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
26 dollars is the amount

80 girls and boys have planned for a movie. They are in a ratio of 6 girls to 2 boys . How many girls are there?

Answers

Let g represent the amount of girls at the movie and b represent the amount of boys, and t represent the total amount of kids at the movie. t = g + b the equation the represents the situation, so 8 = 6 + 2 represents that if there is a total of 8 kids, there are 6 girls and 2 boys. Because the ratio is 6:2, the amount of girls to the total amount of kids is 6:8 (which is the same is 3/4) and the amount of boys to the total amount of kids is 2:8 (which is the same is 1/4). Therefore, the equation that represents the situation is t = 3/4t + 1/4t, meaning that g = 3/4t and b = 1/4t. If there is a total of 80 kids, replace t with 80 and solve for g (number of girls at the movie): 

g = 3/4t

g = 3/4(80)

g = 60

There are 60 girls at the movie.

Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.

Answers

An algebraic expression is looking something like this: 8x³ + 5
This expression has two terms; 8x³ and 5
The value of '8' in 8x³ is called COEFFICIENT
The value of '3' in 8x³ is called POWER or INDICES
The term 8x³ is called  an exponent because it has power/indices
The letter 'x' in the term 8x³ is called VARIABLE

So, we want an expression with four terms
_____ ⁺/₋ _____ ⁺/₋ _____ ⁺/₋ _____

One term with an exponent ⇒ You can choose any letter and any power that will go with it, for example, 6x⁴

One term with a coefficient of 5 ⇒ 5x⁴

One term with three factors ⇒ This could be a combination of any three letters that represent three values for example 'abc'. This term means a × b × c, so it has three factors.

One constant ⇒ Choose any number, say 45

Make two of the terms like terms ⇒ We have 6x⁴ + 5x⁴; these two terms are alike, they are in term of x⁴

Putting the four terms together: 6x⁴ + 5x⁴ + abc + 45

An expression satisfying all the conditions specified is [tex]5x^2 + 5xy + 3xy + 7[/tex]

Here's an expression with four terms that meets all the requirements :

[tex]5x^2 + 5xy + 3xy + 7[/tex]
1. Term with an exponent: [tex]\( 5x^2 \)[/tex] (The exponent is 2)
2. Term with a coefficient of 5: [tex]\( 5xy \)[/tex]
3. Term with three factors: [tex]5xy[/tex] (The factors are 5, x, and y)
4. Constant term: 7
Like terms:[tex]\( 5xy \)\ and\ \( 3xy \)[/tex]
So the expression [tex]\( 5x^2 + 5xy + 3xy + 7 \)[/tex] includes all the specified requirements.

On a cross-country vacation, Maria filled her 14-gallon gas tank eleven times. Which is the best estimate of how many gallons of gas she put into the tank altogether. ;-;

The answer choices : 75 gallons, 150 gallons, 200 gallons, and 225 gallons.


Plz help XD

Answers

14*11=154
Rounded would be 150

150 gallons
I'd say 150 , because 14 x 11 is 154 , therefore you estimate getting your answer 150

A band to played 3 concerts and earned about a total of $321.00.the band earned about the same amount for each concert estimate how much the band and each night.

Answers

All you have to do is divide 321 by 3 to get $107.00 each night
About $107.00 per night

A toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can hold 19 cartons hold

Answers

To do this, you would just multiply 85 by 19 which is 1,615. So, 19 cartons can hold 1,615 wooden blocks. Hope this helps!
1,615 blocks can fit inside 19 different cartons.
85*19=1,615
Hope this helps

Does a cell phone weigh 113 grams or kilograms

Answers

Think about it, it most likely weights 113g not kgs
Grams.. kilograms is too much

The sum of two consecutive integers is at least negative fifteen. What are the smallest values of consecutive integers that will make this true?

Answers

Answer:

x+1 is greater than or equal to -7

Step-by-step explanation:

x is the first integer and x+1 is the next (consecutive) integer.

At least stands for greater than or equal to

x+x+1 is greater than or equal to -15

Subtract 1 from each side

2x is greater than or equal to -16

x is greater than or equal to -8

This means

x+1 is greater than or equal to -7

The smallest values of the integers are: x+1 ≥ -7

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

let the consecutive integers are x  and x+1.

So,

x+ (X+ 1)= -15

2x + 1 =-15

2x= -16

x= -8

Hence, x+1 ≥ -7

Learn more about equation here:

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Buying a new car is usually the second most expensive purchase many consumers make, after the purchase of their home. True or False

Answers

my guess is TRUE but not for sure 
true because a houes is lot money

Need help what is the answer and what is the equation

Answers

Answer: 50 degrees Fahrenheit

Side note: the equation is already given. There is no need to solve for the variable C

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

Explanation:

We are given 10 degrees Celsius, so C = 10. We will plug this into the given equation. In other words, replace the C with 10. Then use PEMDAS to simplify the right side of the equation

F = (C * 1.8) + 32
F = (10 * 1.8) + 32
F = 18 + 32
F = 50

So 10 degrees Celsius is equivalent to 50 degrees Fahrenheit

a box of chalk contains 10 pieces. how many pieces of chalk are in 40 boxes

Answers

10 x 40 = 400 so the answer is 400 pieces of chalk.
it might be 400 because you might have to multiply

Jacob is using this rule.
''Start with a number, divide it by 2 and then add 3. Write down the result.''
a) What is the result when Jacob starts with 8?
b) What number did Jacob start with when the result is 5?

Answers

a) 8 : 2 + 3 = 7
b) x/2 + 3 = 5
x = (5-3) * 2
x = 2 * 2 = 4

a) 7
b) 4

Please Help!!!!!
Is the square root of 2 over 8 rational or irrational?

Answers

i think it is irrational
Your answer is rational because if it can be turned into a fraction its a rational number.

Your answer is Rational or A.

an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proportion relating the number of seats s to the number of minutes m. At this rate, how long will it take to add 16 seats? 19 seats?

Answers

Rate = 2 seats/11 minutes = 2/11  seats/min

Therefore the time required for s seats is
[tex](m \, min) = \frac{s \, seats}{ \frac{2}{11} \, \frac{seats}{min} } = \frac{11s}{2} \, min[/tex]
That is,
m = (11s)/2 min

When s = 16, obtain
[tex]m = \frac{11(16)}{2} = 88 \, min[/tex]

When s = 19, obtain
[tex]m = \frac{11(19)}{2} = 104.5 \, min[/tex]

Answers:
[tex]m = \frac{11s}{2} [/tex]
When s = 16, m = 88 min
When s = 19,  m = 104.5 min


graph the following linear equation using slope-intercept form. y=2x+1

Answers

this is the answer check it out

Write the number equal to 2 tens 15 ones

Answers

Two tens: 10(2)= 20
fifteen ones: 15(1)=15
20+15=35

The number that will be equal to 2 tens 15 ones is 35.

How to identify the place value of a digit in a number?

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on. The tens mean multiplied by 10. The tenth means the tenth part of that digit which is that digit divided by 10

We are given multiple number names and asked to add them.

We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.

We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.

To find this problem, it will be easier to split the sentences into multiple parts like this;

1. "2 tens" mean 2 x 10 =20

2. "15 ones" mean 15 x 1= 15

Then, if we add them up it will be;

20+15= 35

The answer to this problem would be 35

Therefore, the number that will be equal to 2 tens 15 ones is 35.

Learn more about place value here:

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Kayla has $500 in her account, and she spends $40 a week on food. If she falls below $30 in her account, she must pay a penalty. What is an inequality that can represent this situation?

Answers

She starts with $500; that's a given. If she's spending $40 a week, that means that she'll be subtracting $40 from her account for each week (let's call the number of weeks that've gone by "w"), leaving her with 500-40w dollars after week w.

Now we have to compare this somehow to $30. Our inequality is going to look like:

500-40w ? 30

Where the ? is a stand-in for an inequality sign. Which inequality sign should we pick? Take a look at the question and see if you can find any keywords that might give you a hint. "If she falls below" is the big one I'm seeing. If she can't fall below $30, that means she'll always have to stay at or above $30 to avoid paying the penalty. What inequality sign represents at or above?

Final answer:

The inequality that represents this situation is: 500 - 40w < 30, where w represents the number of weeks that have passed.

Explanation:

The situation can be represented by the inequality:

500 - 40w < 30

where w represents the number of weeks that have passed.

This inequality states that the amount of money remaining in Kayla's account (500 - 40w) must be less than $30 for her to have to pay a penalty. If Kayla's account falls below $30, she would have to pay a penalty because she does not have enough money to cover her regular expenses.

For example, if we substitute w = 10 into the inequality, we get 500 - (40 × 10) < 30, which simplifies to 100 < 30. Since 100 is not less than 30, Kayla would not have to pay a penalty.

If 772 is divided by 9, what is the remainder? A) 4 B) 6 C) 7 D) 8

Answers

the answer to your question is c

1/8, 0.35,0.2 in order from least to greatest

Answers

1/8,0.2,0.35 because 1/8=0.125
1/8, 0.2, 0.35. I believe this is the answer

write a related subtraction fact for 7 + 3 = 10

Answers

10-3=7 Hope this helps

10-3=7 or 10-7=3
Hope this helps.

Simplify. 14+{−2+3[1+3(−6−2)]} Enter your answer in the box. pls help

Answers

I think it is -57 I simplify so that I got the answer 

well first do -6-2 which is -8 so next you would multiply -8 and 3 which is -24 then add 1 that makes it -23 then multiply that by 3 then you get -2+(-69) which is -71 so then you add -71 and 14 then you get -57 hope this helped :3

1/2and 1 two fractions with a sum

Answers

It could be 3/2 or it could be 1 1/2
It could be 3/2 or 1/2

I hope this helped you

I hope you have a good day today and tomorrow and on and on and the other days

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What is the smallest positive integer N such that the value 70 + 30(N) is not a prime number?

Answers

it is 1
70+30*1=100, which is not a prime number

Susan and terry run a day care center Since they use susans house it was agreed that her share is twice as Terrys if they earn 225 how much is susans share?

Answers

The easiest way to do this is to divide 225 by 3, so 225 / 3, and what you get as the sum, in this case it's 75, you would multiply the sum by 2, which equals 150, and that, would be Susan's share. So... 225 / 3 = 75. 75 * 2 = 150. $150 is the amount Susan gets. Hope this helps!

To determine Susan's share of the daycare earnings, the simple equation T + 2T = 225 was solved to give Terry's share as $75. Susan's share, being double Terry's, is therefore $150.

The total earnings of Susan and Terry together: 2x (Terry's share) + Terry's share = 225

Given that the total earnings are 225:

2x (Terry's share) + Terry's share = 225

3x (Terry's share) = 225

Terry's share = 225/3 = 75

Susan's share = 2 x 75 = 150

Therefore, Susan's share is 150.

A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height of the prism is 30 ft which expression gives the volume of the pyramid ?
15b
10b
5b
30b

Answers

15b is the answer to this question hope this was helpful

Answer:

5b  

Step-by-step explanation:

Given,

The base area of the prism = base area of the pyramid = b,

Also, the height of the prism = 30 ft,

While, the height of the pyramid = [tex]\frac{\text{height of prism}}{2}[/tex]

[tex]=\frac{30}{2}=15\text{ ft}[/tex]

Now, the volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height

[tex]=\frac{1}{3}\times b\times 15[/tex]

[tex]=\frac{15b}{3}[/tex]

= 5b ft²

Hence, THIRD option is correct.

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