Answer:
a. 46m²
Step-by-step explanation:
To find surface area, we must calculate each of the rectangular prism's faces and add them.
1 × 5 = 5
1 × 5 = 5
3 × 5 = 15
3 × 5 = 15
1 × 3 = 3
1 × 3 = 3
5 + 5 + 15 + 15 +3 + 3 = 46
a. 46 m²
Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire
and 14 quarts of liquid nails.
a. The store only sells wire by the foot. How many feet does Jonah need?
b. The store only sells liquid nails by the gallon. How many gallons does Jonah need?
Answer:
13 gallons
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Step-by-step explanation:
I need to find the measure of angle A
Answer:
∠ A = 30°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
90 + x + 67 + x + 37 = 180, that is
2x + 194 = 180 ( subtract 194 from both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
Then
∠ A = x + 37 = - 7 + 37 = 30°
what is the slope of the function below y=5x+8
Answer:
This function is in y=mx+b form, where m is the slope, and b is the y-intercept.
So, for this equation the slope is 5.
Hope this helps!
suppose 7,500 is invested at 1.5%, compounded continuously. what will the account balance be in 16 years?
Answer:
[tex]\boxed {\boxed {\sf \$9,534.37}}[/tex]
Step-by-step explanation:
The formula for continuously compounded is:
[tex]A=Pe^{rt}[/tex]
where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.
The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.
1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015Now we know all the values and can substitute them into the formula.
[tex]P= 7500 \\r= 0.015 \\t= 16[/tex]
[tex]A= 7500(e^{0.015*16})[/tex]
Solve the multiplication in the exponent first.
[tex]A= 7500(e^{24})[/tex]
Solve the exponent.
[tex]A= 7500 (1.27124915)[/tex]
[tex]A=9534.368627[/tex]
Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.
[tex]A=9534.37[/tex]
The account balance will be $9,534.37 after 16 years.
What is the final amount if 490 is increased by 15% followed by a further 14% increase?
Give your answer rounded to 2 DP.
please HELP ME AHHH need help
Russom deposits $500 into a compound interest account. The interest rate for the
account is 3.25%. Determine the account balance after 5 years.
Answer:
$581.25
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.25%/100 = 0.0325 per year,
then, solving our equation
I = 500 × 0.0325 × 5 = 81.25
I = $ 81.25
The simple interest accumulated
on a principal of $ 500.00
at a rate of 3.25% per year
for 5 years is $ 81.25.
Which of the following are composite numbers?
Check all that are true.
33
49
19
7
21
0.24 as a percent. i already know that its 24% but can you show me an explanation
Explanation:
So any decimal number is the same as a percentage but take off ONE zero in front of it
So with 0.24 for example, you take off the zero in front and since there are no zeros for the decimal point to be behind, there is no need for the decimal point now, so the percentage is 24%
HELP DUE IN 10 MINS!
Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.
If they are not congruent or there is not enough information, then write not possible in each blank.
Postulate:
Congruence Statement: ΔATM ≅ Δ:
Answer:
ATM=NOP
Step-by-step explanation:
we know that NP=TM
we know that OP=AM
we know that angle NOP= angle TAM
using side angle side theorem (SAS) we can determine congruency
Answer:
Step-by-step explanation:
ONP
Please help me asp thank you
I need help
Height10 m
Radius3 m
What is the volume of the cone to the nearest whole number?
Answer:
94m
Step-by-step explanation:
aye please help ty
A rhombus is _____ a square.
never
sometimes
always
What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 2?
Answer:
B.
Step-by-step explanation:
Multiply each point's x and y coordinates by 2.
1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts. How much does Mila spend in all
Answer:
the total amount spent is $31.68
Step-by-step explanation:
The computation of total amount spent as follows:
= 1.4 pounds × $9.15 + 0.8 pounds × $10.75 + 2.6 pounds × $3.95
= $12.81 + $8.6 + $10.27
= $31.68
hence, the total amount spent is $31.68
We simply apply the pounds with its price
Problem 1
A recipe calls for 1 lb of flour for 1 batch. How many batches can be made with each of the
following amounts?
a. 1 lb
b. 10
c.1 lb
Answer:
a- 3 batches
b-
[tex]1 \frac{1}{2} = 1.5[/tex]
c- 0.5 batches
A landscape architect is designing a public patch with two adjacent circular fountains. The walking paths are tangent to the fountains as shown the lengths are given. Find x and y.
Answer:
x=4
y=11
Step-by-step explanation:
you know that tangents drawn from same point are congruent
so
6.5x-4.5=5x+1.5
1.5x=6
x=4
4x-1=y
y=11
Subtract 10x^2 -10x+2 from -8x^2+7x-7
Answer:
182 −17+9
Step-by-step explanation:
Answer:
[tex]18x^2-17x+9[/tex]
Step-by-step explanation:
[tex](10x^2 -10x+2)-(-8x^2+7x-7)[/tex]
Simplify each term.
[tex]10x^2-10+2+8x^2-7x+7[/tex]
Simplify by adding terms.
[tex]18x^2-17x+9[/tex]
good luck, i hope this helps :)
Witch expression is equivalent to( 3x+4)-(7x+2)
Answer: -4x+2
Step-by-step explanation: Simplify
PLZZZZ HELP MEEEEEEEE
Directions: Solve for x. Round to the nearest tenth. 16" N 37
The value of x is: x = 35.57.
Here, we have,
given that,
from the given diagram, we get,
it is a right angle triangle,
base = x
hypotenuse = 37
and angle = 16°
now, we know that,
cos θ = adjacent / hypotenuse
so, we get,
cos 16° = x/37
The value of cos 16° is equal to the x-coordinate (0.9613).
∴ cos 16° = 0.9613.
=> 0.9613 = x/37
=> x = 35.57
Hence, The value of x is: x = 35.57.
To learn more about trigonometric relations click :
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Please help!!! this is due today I will give brainliest answer
IM VERY SORRY I DONT KNOW THE REAL ANSWER
Here is my answer. I left some steps because of space. You can ask me if there's something you don't understand.
Jason worked 3 more hours than Keith.
Jason worked 12 hours. Which equation
represents this situation, if k is the
number of hours Keith worked?
A. 12 + k = 3
B. 12k = 3
C. k + 3 = 12
D. 3k = 12
Answer: C is the answer
Step-by-step explanation:
Because jason did 3 more hours that keith so we add 3 plus the missing number which stands for keith
Answer:
Its C
Step-by-step explanation:
Becuae
Suppose you are making a model of a boat. The boat is 720 inches long. If you are using the scale 1 inch : 15 inch, find the length of the model.
Answer:
48 iches
Step-by-step explanation:
720/15 = 48
Answer:
48:720
Step-by-step explanation:
Please help will give Brain!!
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
The distance is 7 units between point D and point E
Evaluate the function.
f(x) = -2x2 + 8x – 10
Find f(-4)
Answer:
f(-4)=-2(-4)²+8(-4)-10=-2×16-32-10=-74
Step-by-step explanation:
Given
f(x) = - 2x² + 8x - 10
f(-4) = - 2 * (-4)² + 8 * ( -4 ) - 10
= - 32 - 32 - 10
= - 74
Hope it will help :)
For every 15 minutes of driving you've drove 600 miles what is the unit rate
Answer:
Step-by-step explanation:
40 miles per minute
What is the smallest of three consecutive positive integers who's sum is 42
Answer:
Ambitious Ambitios Ambitious Ambitios
word problem please help
Answer:
A
Step-by-step explanation:
s = cost of senior ticket
c = cost of child ticket
System of Equations:
8s + 7c = 211
4s + 6c = 138
I used the elimination method and multiplied the second equation by -2
-8s - 12c = -276
add the above to the first equation and get
-5c = -65
c = 13
now find s
8s + 7(13) = 211
8s + 91 = 211
8s = 120
s = 15