Mathematics High School

Which equation would best help solve the following problem? The height of a triangle is 5 m less than its base. The area of the triangle is 42 m² What is the length of the base?​

Which Equation Would Best Help Solve The Following Problem? The Height Of A Triangle Is 5 M Less Than

Answers

Answer 1

Answer:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Step-by-step explanation:

Area of a Triangle

Given a triangle of base B and height H, the area is calculated by the formula:

[tex]\displaystyle A=\frac{1}{2}BH[/tex]

Let's call x=base of a triangle

Since the height of the triangle is 5 m less than the base:

x - 5 = height of the triangle.

Thus, the area is

[tex]\displaystyle A=\frac{1}{2}x(x-5)[/tex]

The value of the area is given as A=42 square meters, thus:

[tex]\boxed{\displaystyle 42=\frac{1}{2}x(x-5)}[/tex]

The second choice is correct

Related Questions

A system of equations is shown below what is the x- value of the system of equations y= -4..... 2x-3y=8

Answers

Answer:

x= -2

Step-by-step explanation:

solve for x 1/5(x-4)=-2

Answers

the answer is:

x = -6

Just a few questions! Help if you want to be kind today! Or help someone in a different way! Not free!

Answers

Answer:

Answer For Question 30: 7 3/8

Step-by-step explanation:

I just Basically  Added all the Sums together to finally get the Answer.

The ratio of the measure of the three angles of a triangle is 3:4:8. Find the mesure of the large angle

Answers

Answer:

96°

Step-by-step explanation:

Ratio of angles :

3 : 4 : 8

Sum of angles in a triangle = 180°

The value of the largest angle = angle with the largest ratio

This is the value of the angle with ratio 8

Sum of ratio : (3 + 4 + 8) = 15

Hence,

(8 / 15) * 180°

(8 * 180°) / 15

1440 / 15

= 96°

Natalie bought a 3 pack of erasers for $1.47. At the same rate, how much would a 10- pack of erasers cost?

Answers

Answer:

A pack of ten would cost $4.90

Hope this helps.

Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?

Answers

37.5 miles

divide 25 by 2, that gives you 12.5
multiply 12.5 by 3 to get 37.5

450 mistakes in 9 tests. How many mistakes per test?

Answers

Answer:

50

Step-by-step explanation:

all you have to do is Divide 9 ÷ 450 the answer is 50.

50 mistake per tests.

Answer:

50 mistakes per test. 450 mistakes divided by 9 tests =50

help me pls i’m gonna fail the class>3

Answers

what’s the question ?

The dot plot represents a sampling of ACT scores:

dot plot titled ACT Scores with Score on the x axis and Number of Students on the y axis with 1 dot over 18, 3 dots over 19, 4 dots over 21, 4 dots over 22, 3 dots over 23, 2 dots over 24, 1 dot over 25

Which box plot represents the dot plot data?

I have pictured the possible answers.

Answers

Answer:

The first box plot is correct

Step-by-step explanation:

Answer:

A. With numbers 18, 21, 22, 23 and 25

Step-by-step explanation:

Lets analyze the dot plot and work out 5 numbers.

We see the minimum score is 18 and maximum score is 25, these are the two numbers.

The scores

18 , 19, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25

Median of the data:

(22 + 22)/2 = 22

Lower half

18 , 19, 19, 19, 21, 21, 21, 21, 22Median of lower half = 21

Upper half

22, 22, 22, 23, 23, 23, 24, 24, 25 Median of upper half = 23

We now have 5 number summary:

18, 21, 22, 23 and 25

Looking at the box plots, we see the first one is reflecting the numbers we got.

What's nine plus ten? Is it 21 or 19

Answers

Answer:

19 duh

Step-by-step explanation:

Which one is it???????

Answers

X-4 I hope this is right

Write the expanded form of 4(0.25a + b - 6).

Answers

Answer:

4(0.25a + b - 6) = 0

Step-by-step explanation:

Answer:

4 x 0.25 + a + b -6

Step-by-step explanation:

Consider the geometric sequence:
4, 8, 16, 32, ...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:

a(n) = 4(2)” for n > 0
b(n) = 2(2)" for n > 1
c(n) = 4n-1 for n > 2
d(n) = 4n-2 for n > 3

Answers

Answer: a and b

Step-by-step explanation: plug in

The function for the geometric series is Tₙ = 4 (2)ⁿ⁻¹, the correct option is A.

What is a Geometric Series?

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The geometric series is

4,8,16,32,........

The function which denotes this sequence is given by

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

r = 2

a₁ = 4

Tₙ = 4 (2)ⁿ⁻¹

To know more about Geometric Series

https://brainly.com/question/4617980

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To
357 is what percent of 420?

Answers

Answer:

85

Percentage Calculator: 357 is what percent of 420? = 85.

Answer:

85%

Step-by-step explanation:

357/420 reduces to 17/20 if you divide the numerator and denominator by 21 which is equivalent to .85

Identity the slope and y-intercept
(-2,-3) (0,5)


Answers

Answer:

slope (m) = 4

y intercept is -3 and 5

In the figure below, m_1=(x-9° and m2 =6xº.
Find the angle measures.
Help!!!!

Answers

Answer:

(x-9)°+6x=180°[by linear pair]

7x-9=180°

7x=180°+9

7x=189°

x=189/7

x=27

(x-9)°=27-9=18°

(6x)°=6×27=162°

The angle measures are 18 degrees and 162 degrees.

What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

In the given figure ∠1=x-9 and ∠2=6x

The sum of ∠1 and ∠2 is 180 degrees by linear pair.

∠1 +∠2 =180

x-9+6x=180

Add the x variable terms

5x-9=180

Add 9 on both sides

5x=189

Divide both sides by 5

x=27

Now substitute value of x in angle 1 and angle 2.

∠1=x-9=27-9=18 degrees

∠2=6x=6(27)=162 degrees.

Hence, the angle measures are 18 degrees and 162 degrees.

To learn more on Angles click:

https://brainly.com/question/28451077

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El resultado de la multiplicación
1/10 x 1/10

Convierte a número decimal la fracción que obtuviste

Porfis es para hoy​

Answers

Answer:

0.01 your welcome!! bye

15,25,45,_,115,165

What’s the pattern?

Answers

Answer:

15, 25, 45, 75, 115, 165.

Step-by-step explanation:

pattern. So then you just stick the 5s back on 15, 25, 45, 75, 115, 165.

helppp mee look at the picture

Answers

Answer:

x=20

Step-by-step explanation:

bc 25 divided by 10 is 2.5 so you just multiply 8 by 2.5

Answer: X= 20

If solving for x

Step-by-step explanation:  

x/25= 8/10    

1= reduce the fraction to x/25= 4/5

2= cross multiply 5x=100

3= divide both sides X=20

Hope this helps. pls mark me brainliest

What is the classification of the angle shown??
A. acute
B. right
C. straight
D. obtuse

Answers

Answer:

Acute

Step-by-step explanation:

whats the slope of the line help pls

Answers

Answer:

the slope is -1/6

Step-by-step explanation:

I hope it helps

Which statement is true regarding the function above?
A) There is a vertical shift 6 spaces up
B) there is a horizontal shift 6 spaces to the right
C) there is a vertical shift 6 spaces down
D) there is a horizontal shift 6 spaces to the left

Answers

Answer:

B.there is a horizontal shift 6 spaces to the right

what's the total cost of a 280 dollar television if is the sales tax is 10%

Answers

Answer:

$308

Step-by-step explanation:

Convert the 10% to a decimal by dividing by 100 (= 0.10). Then multiply that by 280.

280 x 0.10 = $28 tax

Add the tax to the cost & you have
280 + 28 = $308.

2) A bag contains some red, blue and
yellow balls. 30% of the balls are
blue and 40% are red.
If there are 50 balls in the bag,
how many are yellow?
Show work and make an equivalent equation

Answers

25% were in the bag .
There is 25% in the bag

Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represents the almonds that each friend ate?

Answers

Answer:

(x - 25) / 4

Step-by-step explanation:

In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...

(x - 25) / 4

Write an expression equivalent to 12+5t−4+15t+1

Answers

Answer:

20t + 9

Step-by-step explanation:

12+5t−4+15t+1

20t + 9

(Simplified version)

Answer:

The answer is 20t+9

Step-by-step explanation:

1. Marie took out a loan for $250 for a Nintendo Switch. She plans to pay the 1 point
loan off in 18 months. At an annual interest rate of 7%, how much will Marie
have paid altogether for the Nintendo Switch? *

Answers

Answer: $276.25

Step-by-step explanation:

250 times .07 = 17.5

17.5 times 1.5 = 26.25

250 + 26.25 = 276.25

Is 3(x+2)-10=5x-6 one souliton

Answers

Answer:

one solution it is x=1

Step-by-step explanation:

i can type in the steps if you want

Answer:

X=1

Step-by-step explanation:


SOMEONE PLEASE HELP ME !

Answers

y=mx+b
m=20 (slope)
b=10 (y-int)
equation= y=20x+10

In ΔDEF, the measure of ∠F=90°, DE = 88 feet, and EF = 39 feet. Find the measure of ∠E to the nearest tenth of a degree.

Answers

- 47 I think this is the answer
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