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How to calculate Surface area
Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).
Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.
Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh
⇒ SA = (12 + 15 + 9) × 6 + (12)(9)
⇒ SA = (36)(6)+(108)
⇒ SA = 324 square units
Thus, the surface area of the right triangular prism is 324 square units.
A slope of 2/3 and a y-intercept of -9/7?
Answer:
Slope intercept form:
[tex]y = \frac{2}{3}x - \frac{9}{7}[/tex]
Answer:
y = 2/3x - 9/7
Step-by-step explanation:
If you want the slope intercept form:
y = 2/3x - 9/7
^ ^
slope y-intercept
2^n-5×5^n-4=5
Please help me
I will mark as brainist
please do the sum in a paper and post...
[tex]\huge{\fbox{\sf{n=5 }}}[/tex]
Step 1:
[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]
Step 2:
[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]
On comparing values we get:
Taking:
[tex] {2}^{n - 5} = {2}^{0} [/tex]
n-5=0
n=5✓
or
Taking:
[tex] {5}^{n - 4} = {5}^{1} [/tex]
n-4=1
n=5✓
Determine 2 additional fractions that would reduce to one fourth?
Answer:
2/8, 4,16
Step-by-step explanation:
-5 2/3 - 1/6 please help
Answer:
-5 5/6
Step-by-step explanation:
I just used my calculator.
These are statements about factors and prime and composite numbers. Which statements are true? Check all that apply. The numbers 4, 9, 25, and 49 are composite numbers. The number 1 is a prime number. The first prime number is 2. A composite number can be written as the product of prime numbers.
Answer:
The numbers 4, 9, 25, and 49 are composite numbers.
The number 1 is a prime number.
Step-by-step explanation:
A prime number can be defined as a number that is divisible by 1 and itself only. Examples are: 1, 3, 5, 7, 11 e.t.c
A composite number can be defined as a positive number that can be formed by multiplying two smaller positive numbers together. These two positive integers may or may not be prime number.
It is a positive integer that has at least one divisor other than 1 and itself.
Examples are: 4, 6, 8, 9, 12, 25, 49, e.t.c
Therefore, the true statements in the questions above =
The numbers 4, 9, 25, and 49 are composite numbers.
The number 1 is a prime number.
Suppose a group of dancers performed the Round Dance at an Indigenous Peoples' Day
celebration. If the circumference of the circle was 44 feet, what was the diameter of the circle?
Answer:
4.27 meters
Step-by-step explanation:
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answer:
micro organism
Step-by-step explanation:
Gabriel is raising money for a school trip by selling lollipops and bags of chips. The
price of each lollipop is $1 and the price of each bag of chips is $1.50. Yesterday
Gabriel made $30 from selling a total of 26 lollipops and bags of chips. Graphically
solve a system of equations in order to determine the number of lollipops sold, 2,
and the number of bags of chips sold, y.
Answer:
There will be 2 bags of chips sold
Step-by-step explanation:
A system of equation is a collection of one or more equation involving the same variables.
Now , according to question :
since , he had sold 26 lollipop , then total money he made from lollipop is : 26 * $1 = $26
Let us assume he sold x number of chips
money made from chips = $ 1.50 * x
Total money made : $30 (Given )
equation according to question will be
26 + 1.50 x = 30
x= 2.7
Since , number of packets can never be in decimal hence, rounding off to 2 packets
x= 2
Learn more about system of equation:
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-4/5 + 33/10 Write your answer as a mixed number in simplest form.
Answer:
2 1/2
Step-by-step explanation:
−45+3310=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-4/5, 33/10) = 10
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−45×22)+(33/10×11)=?
Complete the multiplication and the equation becomes
−8/10+33/10=?
The two fractions now have like denominators so you can add the numerators.
Then:
−8+33/10=25/10
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using
GCF(25,10) = 5
25÷5/10÷5=5/2
The fraction
52
is the same as
5÷2
Convert to a mixed number using
long division for 5 ÷ 2 = 2R1, so
52=212
Therefore:
−4/5+33/10= 2 1/2
If $7,300 is invested in an account that offers 7% interest compounded semi-annually, how much money is in the account after 3 years?
Answer:
The answer to your question is $8973.56
Step-by-step explanation:
Two points are plotted on the number line.
Answer:
-2/3+1/3= - 1/3
Step-by-step explanation:
if you look at the number line you just go once to the right
whats the answer to this?
Answer:
5
Step-by-step explanation:
Add the two coordinates and divide by 2.
-2 + 12 = 10
10/2 = 5
Answer: 5
The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?
Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132
a.$12 per month
b.$18 per month
c.$24 per month
d.$36 per month
Answer:
The answer is C., $24 per month.
Answer:
A $12
Step-by-step explanation:
she has saved $36 before she gets a part time job, after 2 months, her savings have increased from 36 to 60. 2 months = 60 - 36, 2 months = 24. now we divide 24 by 2, and the answer is 12. option A is correct.
On a coordinate plane, Broadway is 4 units to the right and 4 units up. Empire State Building is 1.50 units to the right and 1 unit up. Brooklyn Bridge is 5 units to the left and 4.5 units down. Statue of Liberty is 4 units to the left and 3.5 units up. Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0)
Answer:
upove is correct
Step-by-step explanation:
hehe
Please help!! ASAP!! Math Help!k
[tex]f(x) = 4x^3 + Ax^2 + 2x - 5[/tex]
[tex]f(2) = 5[/tex]
[tex]5 = 4 \cdot 2^3 + A \cdot 2^2 + 2 \cdot 2 - 5\\5 = 4 \cdot 8 + 4A + 4 - 5\\5 = 32 + 4A + 4 - 5\\5 - 32 - 4 + 5 = 4A\\-26 = 4A\\A = \frac{-26}{4} = -\frac{13}{2} = -6.5[/tex]
which expression has a value of 4
Answer:
7x=28
Step-by-step explanation:
A package of 6 insulated gloves cost $50.94. what is the unit price of the pair of gloves.
Answer:
i think your answer would be $8.49 for a pair of gloves.
Step-by-step explanation:
50.94 / 6 = 8.49
Onya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Part B: Katie selected a pair of shoes for the regular price of $120. After the 20% off discount is applied, what will be the discounted cost of the shoes (before tax)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Answer:
a. [tex]Savings = \$16[/tex]
b. [tex]Price = \$96[/tex]
Step-by-step explanation:
Solving (a):
[tex]Price = \$80[/tex]
[tex]Coupon = 20\%[/tex]
Required
Determine her savings.
[tex]Savings = Coupon * Price[/tex]
[tex]Savings = 20\% * \$80[/tex]
[tex]Savings = \$16[/tex]
Solving (a):
[tex]Price = \$120[/tex]
[tex]Coupon = 20\%[/tex]
Required
Determine the price before tax
First, we need to determine her savings
[tex]Savings = Coupon * Price[/tex]
[tex]Savings = 20\% * \$120[/tex]
[tex]Savings = \$24[/tex]
The price before tax is calculated as follows:
[tex]Price = \$120 - \$24[/tex]
[tex]Price = \$96[/tex]
How many 3/6 are there in 1 whole
Don’t give me glibberish answers or I will report u
Answer:2
Step-by-step explanation:because
x=1x6/3
X=2
Its not gibberish so gimme brainliest
Answer:
It would be 2.
Step-by-step explanation:
3/6 is half of a whole. Which means, there is a half missing. So multiply 3/6 by 2, to make it a whole.
Solve for a:
35= -7a+14
The price of gas rose from $2.40 per gallon in January to
$3.00 per gallon in April. What was the percent increase
based on the original price?
A. 20%
B. 25%
C. 60%
D. 80%
Answer:
Step-by-step explanation:
The answer is 25%
25% of 2.40= 0.6 3.00-0.6= 2.4 just ad a 0 so 2.40
Answer is 25%
Evaluate the expression.
17 * (-12 + 10)?
Answer:
-34
Step-by-step explanation:
Ok help me?? Uhhhhhhhhhhhh
Answer:with?
Step-by-step explanation:
eh what is 2(h + 1) =5h - 7
Answer:
h=3
Step-by-step explanation:
Which of these values could be the slope of the line? Select 2 options.
-2
-8/5
0
7/4
3
Answer:
7/4 and 3
Step-by-step explanation:
correct on edge 2020
Answer: 7/4 & 3
Step-by-step explanation:
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p where p represents the number of packets and b represents the number of bytes of information. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits. (X = form)
Answer: [tex]x= 187.5p[/tex]
Step-by-step explanation:
Given : An equation relating packets to bytes of information : [tex]b = 1,500p[/tex] where p represents the number of packets and b represents the number of bytes of information.
1 byte = 8 bits
Let x= Number of bits such that 1 b = 8x
Put b = 8x in given equation , we get
[tex]8x=1500p[/tex]
Divide both sides by 8 , we get
[tex]x= 187.5p[/tex]
Hence, the equation represent the relationship between the number of packets and the number of bits : [tex]x= 187.5p[/tex]
Answer:
x=12000p
Step-by-step explanation:
It is Right
I Fink
Solve for s:
14=-2s-8
Answer: 11
Step-by-step explanation:
2 times 11 is 22. 22-8=14
Answer:
14= -2s - 8
22= -2s
-11=s
Step-by-step explanation:
Add 8 to both sides, on one sided the number will be undo but on the other it won't
Then divide both sides by -, wich leaves the unknown variable alone
Finally you have your answer!
44% of ten is what number
Answer:
4.4
Step-by-step explanation:
You have to turn 44% into a decimal which will be 0.44
Then multiply 0.44 by 10
0.44*10
4.4
PLEASE HELP AND EXPLAIN!! I will mark brainliest <3
Answer: AB is 40
Step-by-step explanation: CD=CE+ED ED is 5 and it is also the midpoint meaning it is 1/2 of the value of the line. Therefore CD is 10, BC=BD+CD CD as we know is 10 and D is the mid point meaning it is also 1/2 of the value of BC. 10+10=20, AB=AC+BC, BC is 20 so AC must also be 20;therefore AB is 40
FIRST ANSWER GETS BRAINLIEST! PLEASE HURRY!
The area of a rectangle is 45 square units. The length is 15 units and the width is z units.
Area = length x width
What is the value of z?
Answer:
z = 3 units
Step-by-step explanation:
45 ÷ 15 = 3
Step-by-step explanation:
A is wl
45 = 15 x z
45 = 15z
3 = z