What is the area of a triangle that has a base of 15 1/4 in and a height of 18 in?

Answers

Answer 1

the area of a triangle = 1/2 base * height (basically half of a rectangle)

so 1/2 * 18 * 15.25 = 9*15.25 = 137.25

don't forget units so the answer is 137.25 inches squared

Answer 2

The area of the triangle is half the product of its base and height. The area of the triangle is 137.25 in².

What is the area of the triangle?

The area of the triangle is half the product of its base and height. It is given by the formula,

[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]

As it is given that the base of the triangle is 15¹/₄ inches, while the height of the triangle is 18 inches. Therefore, the area of the triangle is,

[tex]\rm \text{Area of triangle} = \dfrac{1}{2} \times base \times height[/tex]

[tex]= \dfrac{1}{2} \times 15(1/4)\times 18\\\\\\ = \dfrac{1}{2} \times \dfrac{(15\times 4)+1}{4} \times 18\\\\\\= \dfrac{1}{2} \times \dfrac{61}{4} \times 18\\\\\\=137.25\rm\ in^2[/tex]

Hence, the area of the triangle is 137.25 in².

Learn more about the Area of the triangle:

https://brainly.com/question/22457738

Related Questions

How would the domain and range of the function y= 1/4x-6 be determined

Answers

Is there any suggestions to this question?

Answer: Create a table or a graph of the function. The domain represents all input values and the range represents all output values. The domain and range contain all real numbers

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 8 cm

Answers

Assuming your version of the triangle inequality requires the other two sides to add to more than 13 cm, the only pair of lengths that does so is
8 cm and 8 cm

_____
Sometimes, the triangle inequality is expressed as
a + b ≥ c
For that version, all except the 3rd choice would be viable.

Answer:

Step-by-step explanation:

how do you solve 7 over 20=?

Answers

Hello there! They want you to find the decimal of the fraction. All you have to do is divide the number on top by the number at the bottom. 7/20 = 0.35

what is the discount on shirts if shirts cost $24 and there is a discount 25%

Answers

Step-by-step explanation:

25% × $24 = $6

Subtract the discount from the original

24 - 6 = $18.00

Can anyone help me with this?

Answers

It will be half the length of the leg of the triangle that has 24 as its hypotenuse and 19.2 as its longer leg.
.. x = (1/2)√(24² -19.2²)
.. x = 7.2

The 2nd selection is the correct one.

HELP ME ASAP! (graphing problem)

Answers

Try this option:
way 1: using the picture, if x=-3 then y=-6.
way 2: the equation of this line is y=x-3; it means that y(-3)=-6.

If s = 1 over 2 unit and A = 12s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)

Answers

Answer
3 square unit(s)

Explanation
The question is testing the concept of substitution.
A=12s^2
If s=1/2 , what is the value of A?
Substituting s with 1/2 we get;

A=12(1/2)^2
=12×1/4
=3
The answer is 3 unit squared. The is not fraction in the answer.

the answer is three square units

Earth's diameter at the equator is 7,926 miles. Find the distance around Earth at it's equator to the nearest tenth.

Answers

(7926π) miles ≈ 24,900.3 miles

Write the fraction as money amount 65/100

Answers

If this was money, then it would be $0.65.

What would happen to a monthly payment if the interest rate increased

Answers

If the interest rate increases it is expected the monthly payment also increases.

What is the interest rate?

This is usually a low percentage of money paid to the bank or a similar institution for borrowing money. The interest rate is established when the loan is approved and it is proportional to the amount of money that needs to be paid.

What would happen if the interest rate increased?

As both the payment and the interest rate are directly related if the interest rate increases, the amount of money to be paid would also increase.

Learn more about interest rate in https://brainly.com/question/13324776

#SPJ1

Ben has b dollars. Cam has 7 fewer dollars than Ben. How many dollars does Cam have? Write your answer as an expression.

Answers

b - 7
B is the number of dollars Ben has and Cam has 7 less so you just subtract 7 from b

Answer:

Cam has [tex]b-7[/tex] dollars.

Step-by-step explanation:

Here b represents the number of dollars Ben has,

Given,

Cam has 7 fewer dollars than Ben,

So, the number of dollars cam has = The number of Ben's dollar - 7

[tex]=b-7[/tex]

Hence, the expression that represents cam's dollar is,

[tex]' b-7 '[/tex]

If the graph of the function h defined by h(x)=-3x^2+3 is translated vertically upward by 3 units , it becomes the graph of a function g. Find the expression for g(x)

Answers

g(x) = h(x) +3 . . . . . h translated upward by 3 units

g(x) = (-3x² +3) +3
g(x) = -3x² +6 . . . . . . . . . the desired expression for g(x)

Clayton wants to make a cylindrical case that will fit a bass drum with a height of 14 inches and a diameter of 24 inches. With is the surface area of the case? Use 3.14 \pi[tex] \pi [/tex]

Answers

1. You can solve this problem and calculate the surface area of the case, by applying the formula for calculate the surface area of a cylinder, which is:

A=2πr²+2πrh

"A" is the surface area of the cylinder.
"r" is the radius.
"h" is the height of the cylinder (h=14 inches).

2. You need to calculate the radius. So, you have:

r=Diameter/2
r=24 inches/2
r=12 inches.

3. You already have the height and the radius, so you can substitute these values into the formula (A=2πr²+2πrh) for calculate the surface area of the case:

A=2πr²+2πrh
A=2(3.14)(12 inches)²+2(3.14)(12 inches)(14 inches)
A=904.32 inches²+1055.04 inches²
A=1959.36 inches²

Please help!! Dexter made a frequency distribution, setting up groups for the data shown.
His first group was for 20-24. What was the frequency of his forth group?
42 33 28 27 51 29 31 42 38 49 35 30 22 27 26 41 47 33

Answers

42 43 I mean 3328 2151 2931 Covey to 3840 to 4935 40 22 27 2641 47th

The frequency of Dexter's fourth group (35-39) in his frequency distribution is 2. This was determined by counting the numbers within the 35-39 range from the provided data set.

Calculating the Frequency of the Fourth Group:

To calculate the frequency of the fourth group in Dexter's frequency distribution, let's first establish the groups.

First Group: 20-24Second Group: 25-29Third Group: 30-34Fourth Group: 35-39

Next, we'll count how many data points fall within each range:

3538

Thus, there are 2 data points in the fourth group (35-39).

help me please show ur work

Answers

Let the length of the patio is x and width is 3/4x
So according to the equation x.3/4x = 432
x^2. 3/4 =432
x^2 =432 times 4/3
x^2 =1728/3 =576
x= 24

The length is 24 ft

Use the inverse of the function y = x2 − 18x to find the unknown values. y=+/= square root of bx+c+d

Answers

y = x2 - 18x

We look for the inverse of the function.
To do this, let's determine the value of x:
y = x2 - 18x
y = (x + (-18/2)) ^ 2 - ((-18) ^ 2/4) + 0
y = (x - 9) ^ 2 - 81
y + 81 = (x - 9) ^ 2
+/- root (y + 81) = (x - 9)
+/- root (y + 81) + 9 = x
We return the change:
f (x) ^ - 1 = +/- root (x + 81) + 9
Therefore, the values sought are:
b = 1
c = 81
d = 9
Answer:
f (x) ^ - 1 = +/- root (x + 81) + 9
b = 1
c = 81
d = 9

The inverse of a function is its opposite

The values of the unknown are: b = 1, c = 81 and d = 9

The function is given as:

[tex]y = x^2 - 18x[/tex]

Rewrite the equation in vertex form as:

[tex]y = (x - 9)^2 - 81[/tex]

Swap the positions of x and y

[tex]x = (y - 9)^2 - 81[/tex]

Add 81 to both sides

[tex](y - 9)^2 = x + 81[/tex]

take the square roots of both sides

[tex]y - 9 = \pm\sqrt{x + 81}[/tex]

Add 9 to both sides

[tex]y = \pm\sqrt{x + 81} + 9[/tex]

By comparison, the values of the unknown are:

b = 1, c = 81 and d = 9

Read more about inverse functions at:

https://brainly.com/question/14391067

Sean tried to drink a slushy as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters remained. How long did it take Sean to drink all the slushy?

Answers

Answer: It took Sean 55 seconds to drink all the slushy

Solution:

Original Volume: Vo=275 milliliters

After t1=13 seconds, 210 milliliters remained: V1=210 milliliters

He drank the slushy at a constant rate: r

Sean drank V=Vo-V1=275 milliliters-210 milliliters→V=65 milliliters

r=V/t1

r=65 milliliters / 13 seconds

r=5 milliliters/second

Sean will drink the remained volumen in a time t2:

t2=V1/r

t2=210 milliliters / (5 milliliters/second)

t2=42 seconds

Total time to drink: t

t=t1+t2

t=13 seconds + 42 seconds

t=55 seconds

Answer:

Sean drank at a rate of 5 milliliters per second.

It took Sean 55 seconds to drink all the slushy.

Step-by-step explanation:

Hope it helps in the picture below.

Find all the points where the tangent plane to this ellipsoid is parallel to the plane y-8x-4z = 0

Answers

i dont know i will tell you when i find out

solve. -2/5x-9<9/10 show all steps pleaseee!!

Answers

x > -99/4

Hope this helped! ♡

Add 2/5x
-9 < 9/10 +2/5x
Subtract 9/10
-9 9/10 < 2/5x
Multiply by 5/2
(-99/10)*(5/2) < x
-99/4 < x
or, if you prefer, ...
-24 3/4 < x

Are there any points on the hyperboloid x^2 - y^2 - z^2 =1 where the tangent plane is parallel to the plane z = x + y ?

Answers

i dont know i will tell you when i find out

Lars deposited $50 into a savings account. According to the rule of 72, what interest rate will cause his money to double in approximately 29 years?

Answers

The rate that will double Lars deposit of $50 in 29 years will be calculated as follows:
Suppose the account used was using compound interest. Thus to determine his future value we shall use the formula:
FV=P(1+r)^n
where:
FV is future value
p=principle
r=rate
n=periods
from the information given
FV=$100
p=$50
n=29 years
we are required to find r
thus
100=50(1+r)^29
100/50=(1+r)^29
2=(1+r)^29
2^(1/29)=1+r
1.02419=1+r
hence:
r=0.02419~2.419%

Answer:

Step-by-step explanation:

The answer is 2.5%

These are the first sentences in the short story, “The Gift of the Magi,” by O. Henry: one dollar and eighty-seven cents. That was all. And sixty cents of it was in pennies.” A. Simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes, and nickels. B. Is it possible to have exactly 60 pennies in $1.87? Explain.

Answers

98 a or 6.98 my be if its not sorry

Answer:

From the given problem statement of the this question,the amount of the gift is 1 dollar and sixty cents

x=60*B

Yes is it possible to have 60 pennies in $1.87

You buy a house for $130,000. It appreciate 1.6% per year. identify the initial amount, growth rate and growth factor for the situation above. Then great an equation that will model it.

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\to &\$130000\\ r=rate\to 1.6\%\to \frac{1.6}{100}\to &0.016\\ growth~factor\to &1+0.016\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ A=\stackrel{P}{130000}(\stackrel{growth~factor}{1+\stackrel{r}{0.016}})^t[/tex]

A video game club has 42 members. The number of high school members is six less than twice the number of middle school members. Which expression represents the number of high school members in the club?

Answers

There are no expressions listed to choose from, but the expression should look something like the following:

x= # middle school members
2x-6= # high school members

Two times the number of middle school students is 2 times x. 6 less means to subtract 6 from 2x.

ANSWER: 2x-6 is an expression representing the number of high school members.

Hope this helps! :)

Answer:

2x-6

Step-by-step explanation:

A probability experiment consists of rolling a a 6 6-sided die. find the probability of the event below. rolling a number with exactly 2 not necessarily unique prime factors number with exactly 2 not necessarily unique prime factors

Answers

The probability of rolling a number with exactly two prime factors on a six-sided die is 1/3, as there are two outcomes (4 and 6) with exactly two prime factors and six possible outcomes in total.

The student is asking about the probability of an event in a probability experiment involving rolling a single six-sided die. The specific event of interest is rolling a number with exactly two, not necessarily unique, prime factors. On a standard six-sided die, the faces are labeled with the numbers 1 through 6. When considering the numbers on a die with two prime factors, we must first identify which of these numbers have exactly two prime factors. The numbers are:

4 has two prime factors: 2 and 2 (2 squared).6 has two prime factors: 2 and 3.

The other numbers (1, 2, 3, and 5) have fewer than two prime factors. Since 4 and 6 are the only outcomes with exactly two prime factors, we have two favorable outcomes out of six possible outcomes on a six-sided die.

Thus, the probability of rolling a number with exactly two prime factors is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 / 6 = 1 / 3

Therefore, the probability of the event is 1/3, or approximately 0.3333 (repeating).

Simplify the sum 4/m+9+5/m^2-81
A. 9/(m-9)(m+9)
B. 4m+41/(m-9)(m+9)
C.9/m2+m-72
D.4m-31/(m-9)(m+9)

Answers

4/(m+9)+5/(m^2-81)=
4/ ( m+9) +5 / ( m-9)(m+9)=
4(m-9)/(m+9)(m-9)+ 5 / (m+9)(m-9)=
(4m-36+5)/(m+9)(m-9)=
4m-31/ (m+9)(m-9)

the answer is D

Answer:
D

Explanation:
1- The given expression is:
[tex] \frac{4}{m+9} [/tex] + [tex] \frac{5}{m^2 - 81} [/tex]

2- Factorize the denominator of the second term:
[tex] \frac{4}{m+9} [/tex] + [tex] \frac{5}{(m+9)(m-9)} [/tex]

3- Get the common denominator for both terms. In this case, the common denominator would be (m+9)(m-9):
[tex] \frac{4(m-9)}{(m-9)(m+9)} [/tex] + [tex] \frac{5}{(m-9)(m+9)} [/tex]

This will give:
[tex] \frac{4m-36}{(m+9)(m-9)} [/tex] + [tex] \frac{5}{(m-9)(m+9)} [/tex]

4- Add the numerators normally since the two terms have common denominator:
[tex] \frac{4m-36+5}{(m-9)(m+9)} [/tex] = [tex] \frac{4m-31}{(m-9)(m+9)} [/tex]

Comparing the calculated result with the given options, we will find that the correct option is the last one

Hope this helps :)

How many inches are in 12 feet?

Answers

Hey there!

Remember, there are 12 inches in 1 foot so multiply 12 by 12 . . .

12 x 12 = 144 <-------

The answer to your question is 144 inches.

There are 144 inches in 12 feet.

Hope this helps you.
Have a great day!

Answer:

There are 144 inches in 12 feet.

inverse of f(x)=5x+4

Answers

Change f(x) to y
Switch x and y
Solve for y

-⅘ + x/5 =y → y = ⅕x - ⅘

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?

Answers

She used convenience sampling

Answer:

The answer is convenience sampling.

Step-by-step explanation:

As per the given scenario, the president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip and she surveys only the twelfth-grade members of the math club.

This is convenience sampling as here the samples are the closest people available. Convenience sampling is a method where the samples are taken who are close to hand.

Here also the math club president is asking the math club students only. This is why it is convenience sampling.

Find the volume of the tetrahedron having the given vertices. (3, −1, 1), (5, −2, 4), (1, 1, 1), (0, 0, 1)

Answers

Given four vertices of a tetrahedron, we need to find its volume.
A(3,-1,1), B(5,-2,4), C(1,1,1), D(0,0,1)

The simplest method is to use vectors.

Here, we calculate the volume of a parallelepiped defined by vectors AB, AC, AD. The volume of a tetrahedron is one-sixth of the volume of the parallelepiped, V, given by AB.(ACxAD).
Here are the steps:
1. Choose a vertex, say A. Calculate vectors AB, AC and AD
AB=(5-2,4)-(3,-1,1) = <2, -1, 3>
AC=(1,1,1)-(3,-1,1) = <-2, 2, 0>
AD=(0,0,1)-(3,-1,1) = <-3, 1, 0>
2. Calculate vector cross product ACxAD = <-2,2,0>x<-3,1,0>
i j k
-2 -2 0
-3, 1, 0
=<0-0, 0-0, -2-(-6)>
= <0, 0, 4>
3. Calculate volume of parallelepiped, equal to the dot product AB.(ACxAD), ignore sign, which is arbitrary.
V = |<2, -1, 3>.<0,0,4>| = |12| = 12
4. Calculate volume of tetrahedron, which is one-sixth of volume of parallelepiped
V(tetrahedron) = V/6= 12/6 = 2

Other Questions

help please!!! In Angle ABC, C is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.a = 3, c = 19A. MB. MC. MD M Yul and Sarah's art class started at 11:25 A.M.The class lasted 30 minutes. Yulieft when the class was done. Sarah stayed an extra 5 minutes to talk with the teacher and then left. Write the time that each student left.Explain how you found each time. What was the name of the treaty that ended the Mexican war Cylinders A and B are congruent. Cylinder A has a volume of 27 cm3 and a height of 3 cm. What is the area of the base of cylinder B? Two angle measures in a scaled Triangle are 77 and 62 what is the measure of the third angle For the balanced equation shown below, how many moles of O2 will react with 0.3020 moles of CO2? 2C2H5OH + 6O2 4CO2 + 6H2O0.151 moles O20.201 moles O20.302 moles O20.453 moles O2 Which of the following is not an ingredient in paellaA. El ajo B. El caldo C. Los camaronesD. La olla Which law was passed in the Southern states to oppress blacks and force them into a status of second class citizens in another country do you think this story reflects the sense of disillusionment that arose among the writers and artists durng ww1 John let out 50 foot of kite string when he observes that his kite is directly above a point on the ground 30 feet away from him, how high is the kite ? What measure did populist new deal critic huey long push to end the depression? lower taxes on businesses and for the wealthy redistribute income from the wealthy to poor americans nationalize all private industry reelect franklind. roosevelt to the presidency? if you roll a fair six-sided number cube twice. what is the probability that the first roll is a 5 and the second is a 6? HELP Me A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers. Which statement is true? P(orange)0.53P(green)0.21 P(blue)0.41Thank you Zones in which interpersonal interactions can take place are known as ____. PLEASE HELP ME WITH THIS QUESTION AND DON'T FORGET TO EXPLAIN In the Battle of the Labyrinth - In the Labyrinth, Tyson sobbed because Briares had - A) admitted that he was neither half blooded nor a god. B) lost many of his arms in an attempt to save Tyson C) trudged off a corridor D) been hit in the center of his forehead and died. Sentence syntax should be varied to Who were the oligarchs that controlled elections to the House of Commons? Select all that apply.-a. affluent landowners b. talented craftsmen c. rich tenant farmersd. wealthy businessmen Mental learning is closest in meaning to which form of learning Traumatic acid contains 63.13% carbon, 8.830% hydrogen, and 28.03% oxygen. its molar mass is 228 g/mol. determine the empirical and the molecular formulas of traumatic acid.