Answer:
Area of the penny = 30 square inches
Step-by-step explanation:
Out triangle-shaped pennants on the first day of school. If each pennant has a base of 5 inches and a height of 12 inches, what is the area of each pennant in square inches?
The pennant is triangular in shape. Hence:
Area of a Triangle = 1/2× Base × Height
Base of the pennant = 5 inches
Height = 12 inches
Area of the pennant = 1/2 × 5 inches × 12 inches
= 30 square inches
What’s the pair of perpendicular line segments?
Answer:
Two perpendicular segments are segment AB and segment CD
Step-by-step explanation:
The given construction with the straight edge and the compass gives;
1) A straight line CD
2) A line AE from the center of the circle A, to the line CD
3) The circles A and B constructed from the centers A and B respectively
Therefore
Whereby the points A and B are joint by the line AB, we have;
The line passing through the points C and D is the perpendicular bisector of line AB
Therefore, two perpendicular segments are segment AB and the perpendicular bisector of AB which is segment CD
5(2t−3)−7.5t=0.5(12−t)
can you solve for t?
Thank you!
Answer: T=7
Step-by-step explanation:
0t−15−7.5t=6−0.5t
2 Simplify 10t-15-7.5t10t−15−7.5t to 2.5t-152.5t−15.
2.5t-15=6-0.5t2.5t−15=6−0.5t
3 Add 1515 to both sides.
2.5t=6-0.5t+152.5t=6−0.5t+15
4 Simplify 6-0.5t+156−0.5t+15 to -0.5t+21−0.5t+21.
2.5t=-0.5t+212.5t=−0.5t+21
5 Add 0.5t0.5t to both sides.
2.5t+0.5t=212.5t+0.5t=21
6 Simplify 2.5t+0.5t2.5t+0.5t to 3t3t.
3t=213t=21
7 Divide both sides by 33.
t=\frac{21}{3}t=
3
21
8 Simplify \frac{21}{3}
3
21
to 77.
t=7t=7
What is the first step in solving this equation? 1/2x+7=2/3x-6?
Answer:
subtract 1/2x from 2/3x
Step-by-step explanation:
Step-by-step explanation:
doing whole question
Combine multiplied terms into a single fraction12+7=23⋅−6
12+7=23⋅−6
Multiply by 112+7=23⋅−6
2+7=23⋅−6
Combine multiplied terms into a single fraction2+7=23−6
2+7=23−6
Subtract 7 from both sides of the equation2+7=23−6
2+7−7=23−6−7
SimplifySubtract the numbers
2=23−13
Multiply all terms by the same value to eliminate fraction denominators2=23−13
2⋅3⋅2=2⋅3(23−13)
SimplifyCancel multiplied terms that are in the denominator
Multiply the numbers
Distribute
Combine multiplied terms into a single fraction
Multiply the numbers
Cancel terms that are in both the numerator and denominator
3=4−78
Subtract4
4x4x
from both sides of the equation
3=4−78
3x=4x-783x=4x−78
3−4=4−78−4
SimplifyCombine like terms
−=−78
Divide both sides of the equation by the same term−=−78
-x=-78−x=−78
−−1=−78−1
SimplifyCancel terms that are in both the numerator and denominator
Divide the numbers
=78
x=78 is the right answerMichael invests $2,600 into a certificate of deposit (cd). If he earns 4.5% interest, how long will it take for him to earn $234 in simple interest?
Answer:
2 years
Step-by-step explanation:
Step one:
Given Information
Principal= $2600
rate = 4.5%
SImple interest = $234
Required
The time T of the investment
Step two:
the expression for simple interest is
[tex]SI= PRT/100[/tex]
substitute
[tex]234= 2600*4.5*T/100[/tex]
cross multiply we have
[tex]234*100= 2600*4.5*T\\\\23400= 11700T\\\\[/tex]
divide both sides by 11700
[tex]23400/11700= T\\\\T= 2 years[/tex]
A 15-foot log is split into 2 pieces. How long are the pieces if the longest piece is 1.5ft shorter than two of the shorter pieces?
HELP
Answer:
8.25 ft & 6.75 ft
Step-by-step explanation:
So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.
Answer:
Solution given:
total length=15foot
splits into 2 pieces
let shorter pieces be x.
we have longer pieces =2x-1.5ft
Now
total length=x+2x-1.5ft
15 ft =3x-1.5ft
15+1.5=3x
x=[tex] \frac{16.5}{3} [/tex]=5.5ft
Now
shorter length: 5.5ft.
longer length:2*5.5-1.5=9.5ft.
To solve the following system of equations x+3y=6 2x-3y=3 Which of the following steps should be followed ?
If you were to roll the dice one time what is the probability it will NOT land on a 2?
Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
can someone help with this?
Answer:
Slope is positive
Step-by-step explanation:
The slope is increasing in value as it trends upwards
Find the unit rate of the following:
(miles per hour)
22.75 miles in 3.5 hours =
Answer:
The unit rate is 6.5mph or 6.5 miles per hour.
Step-by-step explanation:
22.75/3.5 = 6.5
-b+ 3x = C + 5b
Solve for x in terms of b and c
I NEED HELP
Answer:
x = (c + 6b)/3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-b + 3x = c + 5b
Step 2: Solve for x
Add b to both sides: 3x = c + 6bDivide 3 on both sides: x = (c + 6b)/3Can you find the slope and type the correct code?
Michael’s bill at a restaurant was $46.32. He wants to leave a 17% tip. What will the new total be, including tip?
Answer:
$54.19
Step-by-step explanation:
The top of a ladder slides down a vertical wall at a rate of 0.32 m/s. At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. How long is the ladder?
Answer:
The length of the ladder = 17 meters(17m)
Step-by-step explanation:
The formula to find the Length of the ladder is given as:
L² = x² + y²
Where L = Length of the Ladder
Let x = 8m
We solve for y
From the above question, we are told that:
The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.
Hence: (-0.32)y = -0.32y
At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:
8(0.6) - 0.32y = 0
4.8 = 0.32y
y = 4.8/0.32
y = 15m
Hence:
L² = x² + y²
L² = 8² + 15²
L² = 64 + 225
L² = 289
Square root both sides
L = √289
L = 17m
The length of the ladder = 17 meters(17m)
What is the rewritten equation with an improper fraction for 3/4 divided by 1/2?
Answer:
Step-by-step explanation:
3/4 / 1/2
i think u multiply the recipricol 3/4x2/1=6/4 or 3/2
Moreeeeee points. Hope you guys like
Answer:
Thank you very much :3
Have a great day!
also 1 + 1 is 2
Answer:
yeah I like that your free points and thanks
Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?
Answer:
3/40 hours.
Step-by-step explanation:
hope this helps !
i need help pls ill give brainlest
Answer:
bruh okie
Step-by-step explanation:
WILL GIVE BRAINIST!!!
AND 20 POINTS:)
Ummmm its not clear so
Which of the following functions best describes this graph?
A. y= x^2 - x + 5
B. y = (x - 3)(x + 1)
C. (x-1)(x-1)
D. y = x^2 - 5x + 6
Step-by-step explanation:
The function that best describes the graph is y = (x - 1)² (C).
Solve this question
Answer:
X= -1
Step-by-step explanation:
2x+5=1(x+4)
2x+5=1x+4
2x-1x=-5+4
x=-1
HELPPPPPPPPPP Lol thankd
Answer:
6 10
Step-by-step explanation:
Answer:
6, 10
Step-by-step explanation:
The first point is on 6, and ending at 10.
paving
6.
A road 2 m broad surrounds a square park 4225 m² in area. Find the cost of
marbles each of 25 cm by 8 cm in size on the road at Rs 50 per piece of marble.
Given :
A road 2 m broad surrounds a square park 4225 m² in area.
Size of marble is 25 cm by 8 cm.
Price of each marble is Rs 50.
To Find :
Total cost.
Solution :
Side of square road is :
[tex]A^2 = 4225\ m^2\\\\A = 65\ m[/tex]
Area of road = [tex]4\times 65\times 2 \ m^2=520\ m^2[/tex]
Number of marbles required is :
[tex]N = \dfrac{A}{a}\\\\N = \dfrac{520\times 10^4\ cm^2}{200\ cm^2}\\\\N = 26000[/tex]
It is given that price per marble is Rs 50.
So, total price required is :
[tex]P = Rs \ 50\times 26000 \\\\P = Rs \ 13,00,000[/tex]
Hence, this is the required solution.
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
The two populations will be the same after _____
years.
Answer:
after 3 years on edg
Step-by-step explanation:
Answer:
3 years
Step-by-step explanation:
kolik má čtverec rohů
Answer:
4
Step-by-step explanation:
What is the product?
(-3s+2t)(4s-t)
Answer:
- 12s² + 11st - 2t²
Step-by-step explanation:
Given
(- 3s + 2t)(4s - t)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s² + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
Please help me i cant figure this out. Ten points to anyone who can.
Answer:
G - 4 units
Step-by-step explanation:
Factor Completely
-m^3-2m^2-16m-32
Answer:
-(m+2)(m^2+16)
Step-by-step explanation:
Combine like terms and write an equivalent expression with fewer terms: 5 + 2x + 7 + 4x
Answer:
6x+12
Step-by-step explanation:
5 + 2x + 7 + 4x
2x + 4x = 6x
5 + 7 = 12
6x + 12
what is 8/66 simplified
Answer:
4/33 = 0.12121
Step-by-step explanation:
Answer:
8/66 reduced is 4/33
Step-by-step explanation:
Please help me out!!!!!
Answer:
C is not a zero for the solution of the polynomial equation
Please slow down with posting questions, this seems like a Canvas Exam.
Answer:
its not a zero
Step-by-step explanation:
hope this helps <3