Answer:
988ft^2
Step-by-step explanation:
Total area of a rectangular prism = 2(lw+wh+lh)
length l = 17feet
width w = 12feet
thickness = 10feet
TSA = 2(17(12)+17(10) + 12(10))
TSA = 2(204+170+120)
TSA = 2(494)
TSA = 988ft^2
Hence the total surface area is 988ft^2
A triangle has side of lengths 5ft, 9ft and 13ft what is the measure of the angle opposite the side of 9ft long? Round to the nearest degree
To the nearest degree, what is m_A? Explain
Answer:
[tex]A= 53[/tex]
Step-by-step explanation:
Given
[tex]BC = 9,6[/tex]
[tex]AC = 7.2[/tex]
Required: Angle A
This is calculated using:
[tex]tan\ A = \frac{Opposite}{Hypotenuse}[/tex]
From the attachment;
[tex]Opposite = 9.6[/tex]
[tex]Adjacent = 7.2[/tex]
So:
[tex]tan A =\frac{9.6}{7.2}[/tex]
[tex]tan A =1.333[/tex]
Take arctan of both sides
[tex]A= tan^{-1}(1.333[/tex]
[tex]A= 53[/tex]----- approximated
If the length of AC equals 50, what is the length of the midsegment DE?
A)20
B)25
C)30
D)40
Answer:
25
Step-by-step explanation:
The mid-segment of the triangle is always parallel to the base and is half the length of the base
Differentiate
respect to x, (3x²+2)³
Answer:
3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²
sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?
Answer:
8.2
Step-by-step explanation: i think its 8.2
i dont know tho
The sprinter's speed before he increased his speed is 8.2 miles per hour.
What is Speed?
Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Here, Change in Speed = 14.8 miles per hour
Top speed = 23 miles per hour
Actual old Speed = Top Speed - increased speed
= 23 - 14.8
= 8.2 miles per hour
Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.
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Claudine has $45. She gives
2
of her money to her sister. How much money did she give her sister?
Enter your answer in the box.
$
Solve 5x÷6=20.
The solution is x=
4) Apply the distributive property to solve the following.
(14+ 15) - 3
Answer:
Answer:
26
Step-by-step explanation:
14+15=29
29-3=26
Answer:
26
Step-by-step explanation:
do what is in the parenthesis first which is 14+15 which = 29
then you just do 29-3 which = 26
in order to save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother told him he can work no more than 15 hours in order to keep up with his homework. If Tom would like to make at least $75 to cover prom expenses, help him determine combinations of hours he can work between these two jobs.
a. Write and graph a system of inequalities.
b. Write two possible solutions:
I.
ii.
Answer:
6x + 7.50y ≥ 75
Step-by-step explanation:
Let x = # of hours he walks the dog
y = # of hours he washes cars
We also know that he cannot have any negative hours, so 2 lines that we need to graph will be y = 0, with everything above this line shaded in, and x = 0, with everything to the right of this line shaded in and these lines will be solid because you can have 0 hours.
Another equation will be x + y ≤ 15. We graph the line, which will be solid, y = -x + 15, and shade everything to the left of this line.
The last equation will be 6x + 7.50y ≥ 75. We graph this solid line, y ≥ (-6x + 75)/7.50 & shade everything to the right of this line. Any point inside the area shaded in by all 4 equations will be an answer. I'll leave this up to you.
Hope this helps!
Find the indicated side of the triangle
Answer:
plz upload photo for your question
Salma has ridden 18 miles of a bike course. The course is 20 miles long. What percentage of the course has Salma ridden so far?
Factor -9y - 3 with a negative GCF
Answer:
-3(3y-1)
Step-by-step explanation:
−9y−3
Factor out 3.
3(−3y−1)
Rearrange Terms.
-3(3y-1)
HELP PLZ I NEED THIS DONE RN
Divide the given polynomial by given monomial.
Answer:
i have made it in above picture
Can someone help me with this?!
A company made $785 in a ticket sale they sold 100 tickets how much did the company make per ticket if each ticket cost the same price
There is sales of 40% off of the original price. If a mobile phone has a sale price of $180, what was the original price? Choose the correct answer.
A) $200
B) $280
C) $300
D) 320$
Answer:
$300
Step-by-step explanation:
If the phone has a discount of 40% that means it cost 60% of the original price
X= original price (100%)
$180 = 60% of the original price
X = 100%
CROSS MULTIPLICATION
60X = 180x100
60X = 18000
Divide both sides by 60
X = 300
An article describes a study in which a new type of ointment was applied to forearms of volunteers to study the rates of absorption into the skin. Eight locations on the forearm were designated for ointment application. The new ointment was applied to six locations, and a control was applied to the other two. How many different choices were there for the six locations to apply the new ointment
Answer:
There were 28 different choices for the six locations to apply the new ointment
Step-by-step explanation:
The order in which the location are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
How many different choices were there for the six locations to apply the new ointment?
Six locations from a set of 8. So
[tex]C_{8,6} = \frac{8!}{6!2!} = 28[/tex]
There were 28 different choices for the six locations to apply the new ointment
Can some please answer this
9514 1404 393
Answer:
B (2 violet)
Step-by-step explanation:
Let the colors be represented by their first letter. Then the balances give rise to two equation:
o +y +b +v = r +g +b
o +y +v = g +v
Subtracting the second equation from the first gives ...
(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)
b = r +b -v
Adding v-b to both sides, we have ...
b +(v -b) = r +b -v +(v -b)
v = r
Multiplying this result by 2, we can match the final balance:
2r = 2v . . . . . . . choice B
Answer:
the answer is B.2 purple
Find the volume of the composite solid shown below, Round answer to the nearest hundredth.
add the substitute
it means like adding a equation for both of them
what is a ratio for 3 red buttons compared to 7 blue buttons
The ratio of 3 red buttons to 7 blue buttons is ...
3:7
Hope this helps, have a great day!
A store buys a toy for $4.00. The store marks every items up by 155%.
What is the selling price of the toy?
Answer:
$10.2
Step-by-step explanation:
4.00 x 155 = 620
620/100 = 6.2
6.2 + 4.00 = 10.2
Which is the most difficult train to catch
Answer:
Thomas ................
Electromagnetic radiation is more common than you think. Radio and TV stations emit radio waves when they broadcast their programs; microwaves cook your food in a microwave oven; dentists use X rays to check your teeth. Even though they have different names and different applications, these types of radiation are really all the same thing: electromagnetic (EM) waves, that is, energy that travels in the form of oscillating electric and magnetic fields.
Consider the following:
radio waves emitted by a weather radar system to detect rain drops and ice crystals in the atmosphere to study weather patterns;
microwaves used in communication satellite transmissions;
infrared waves that are perceived as heat when you turn on aburner on an electric stove;
the multicolor light in a rainbow;
the ultraviolet solar radiation that reaches the surface of the earth and causes un-protected skin to burn; and X rays used in medicine for diagnostic imaging.
Which of the following statements correctly describe the various forms of EM radiation listed above?
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
D. They propagate at different speeds through non-vacuum media depending on both their frequency and the materialin which they travel.
E. They require different media to propagate.
Answer:
A. They have different wavelengths.
B. They have different frequencies.
C. They propagate at different speeds through a vacuum depending on their frequency.
Step-by-step explanation:
Electromagnetic waves have electric and magnetic fields which travel in the free space together. They travel at the speed of light and accelerate by particle oscillates. EM radiations are differently used for different purposes. They are modified in order to create micro waves or radio waves.
Consider the relationship 7r+2t=7. a. Write the relationship as a function r=f(t).
Answer: r = 2/7 -t
Step-by-step explanation: solve r from equation
7r = 2-7t l:7. r = 2/7 - t
The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
What is the equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Consider the relationship;
7r+2t=7
Substitute r = f(t) in the equation
[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]
Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].
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A study was conducted to examine the quality of fish after seven days in ice storage. For this study Y = measurement of fish quality (on a 10-point scale with 10 = BEST.)
X = # of hours after being caught that the fish were packed in ice. The sample linear regression line is: Y = 8.5 - .5X. From this we can say that:
a. a one-hour delay in packing the fish in ice increases the estimated quality by 0.5.
b. Can't really say until we see a plot of the data.
c. a one-hour delay in packing the fish in ice decreases the estimated quality by 0.5.
d. if the estimated quality increases by 1, then the fish have been packed in ice two hours later.
e. if the estimated quality increases by 1, then the fish have been packed in ice one hour sooner.
Answer:
From this we can say that;
c. A one-hour delay in packaging the fish in ice decreases the estimated quality by 0.5
Step-by-step explanation:
The sample linear regression line representing the study of the relationship between the quality of fish, 'Y', and the number of hours that elapse after being caught that the fish were packed in ice, 'X', is presented as follows;
Y = 8.5 - 0.5·x
The estimated quality of a fish after a 1 hour delay in packaging in ice, is given as follows;
When X = 1
Y = 8.5 - 0.5 × 1 = 8.0
Therefore, the quality of a fish decreases from 8.5 to 8.0 which is equivalent to a 0.5 decrease in the quality of the fish, after a 1 hour delay in packaging in ice after being caught.
Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?
Answer:
$10
Step-by-step explanation:
3($2.20)+3.40
6.60+3.40=10
write the linear equation of the line in slope-intercept form going through points (-2,-3 ) (-3,1)
Please help me thank u!
Answer:
Step-by-step explanation: x is our missing length
c^2=a^2+b^2
where c is the hypotenuse
28^2=24^2+x
x^2=28^2-24^2=784-576=208
x=[tex]\sqrt{208}[/tex]=14.4
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominato 36 hr : 40hr
Answer:
Hello there! :) Well the fraction would be 36/40 but in simplest form it would be 9/10.
Step-by-step explanation:
The way you simple it down would be by 4. 36 ÷ 4 = 9 and 40 ÷ 4 = 10. I hope this helps
Answer:
9/10
Step-by-step explanation:
You would first find the GCF. 36 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36. 40 factors: 1, 2, 4, 5, 8, 10, 20, 40. The GCF would be 4, so divide by 4 on both sides and you would have the ratio 9 hr.: 10 hr. If using part to whole it would be 9/10.
Hope this helps