Answer:
3. SA = 876 [tex]in^{2}[/tex]
4. SA = 161 [tex]ft^{2}[/tex]
Step-by-step explanation:
Number 3.
To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
To find side lengths:
Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is 8 in. Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.
Now we know all the (needed) side lengths.
To find the Surface Area:
Total SA = (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))
= 312 + 288 + 120 + 2 x (54 + 24) = 720 + (2 x 78)
= 876 [tex]in^{2}[/tex]
Number 4.
Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.
To find the Surface Area:
Total SA = 2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)
= 80 + 25 + 56
= 161 [tex]ft^{2}[/tex]
Solve for y.
6y - 2x = 20
Simplify fractions completely.
[?]
y =
= 4x + 1
+
Enter
Answer:
y= 10/3 + x/3
Step-by-step explanation:
not sure how to explain this
The value of y for the given equation is y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex].
What is a linear equation?A linear equation is an equation where the maximum power of the variable is one. A linear equation may contain more than one variables. However, the highest power of any variable must be one.
Here, a linear equation is given that contains two variables x and y.
Therefore, 6y - 2x = 20
⇒ 6y = 2x + 20
⇒ y = (2x + 20)/6
⇒ y = [tex]\frac{2x}{6}[/tex] + [tex]\frac{20}{6}[/tex]
⇒ y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex]
Hence, the value of y is [tex](\frac{x}{3}+\frac{10}{3})[/tex]
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13. On a snow day, the temperature at 8 AM was 2°F. Later in the day the temperature rose 6º. What was the resulting temperature?
The resulting temperature was 8°F.
simplify (3x^2y3)^3 / x3
kimi is running for student body president. her friend, sarah, already helped by posting 12 of her campaign signs around the school. now kimi id posting the rest at a rate og 1.5 signs per minute. write an equation that shows the total number of signs posted, y, depends on the number of minutes
Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Answer:
Based on the given conditions, formulate:
Reduce the fraction:
get the result:
Answer:
Step-by-step explanation:
The Amrit's income is £27434.16.
It is required to find the
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the Bethan's income be x
Amrit's income is 32% more than Bethan's income.
So, Amrit's income=x+32%
Amrit and Bethan's combined income is £54868.
According to given question we have
x+x+32%=£54868
2x+32/100=£54868
2x=54868-0.32
2x=54867.68
x=27433.84
Bethan's income=£ 27433.84
Amrit's income
=x+32%
=£ 27433.84+0.32
=£27434.16
Therefore, the Amrit's income is £27434.16.
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ab+4a-3b-12 = (b+4)(_____)
For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *
Answer:
the answer to the question is online if you
what are complementry angles
Answer:
either of two angles whose sum is 90°
Hello there! :)
Complementary angles are angles that add up to 90 degrees.
Example:
34 and 56 are complementary angles.
Hope this helps!
~Just a gloomy teen
#CarryOnLearning
[tex]SilentNature \\:([/tex]
Nate earns extra money on the weekends mowing lawns. He charges $14.00$ to work for the first hour. He charges $10.50 for each additional hour. Let hh equal the number of hours after the first hour. Which expression represents how much Nate charges?
Answer:
m=14+10.50h
Step-by-step explanation:
h represents hours. m represents how much he makes
he's going to get 14 dollars, plus 10.50 times however many hours he works.
What is the value of -4 x ( 4 - 6 ) ?
Answer: 8
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
M=4 if not 1/4
Step-by-step explanation:
hope this helps sorry if it was incorrect have a great rest of the day :)❤
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One day, the equipment elevator begins to descend. After seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that time, which elevator is deeper?
The position of the equipment elevator relative to the surface is (blank) feet
Answer:
272
Step-by-step explanation: I had i
Draw a triangle in which an angle, X, is equal to cos^{-1} (4/5)
Answer:
Work on a grid, like a piece of paper with squares already drown in it, else you need to be really accurate with 90 degrees angles. Draw an horizontal line, count 5 units (cm, inches, squares, whatever you have and draw a piece of a circle (red in my image) that intersect the 4 unit line (green). Join the point you found with the center of the circle to get the angle you want (blue line, the angle is the one marked. Joining ANY point in the first line with any point in the second line will give you the triangle you want. The orange lines are a few possibilities you have.
Is it a bad drawing? Yes. I used paint with a grid made with a spreadsheet, don't expect a masterpiece.
Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?
Answer: 7
Step-by-step explanation:
it is trust me.
I don’t know what to call it but I need help
Answer: this is a math test, i presume
on schoology
What is the answer to this question?
There is 358 pieces of pumpkin pie by the time dessert comes around there are only 7 guest left how many pieces can each person get if it is shared equally how many will be left over
I NEED ANSWER ASP PLEASE
Answer:
n=72x9
Step-by-step explanation:
Because Marley is 9x as much, so that's 72x9.
If line L is parallel to line M, solve for x and y
Answer:
x = 18, y = 5
Step-by-step explanation:
Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal. Thus, 7x - 23 = 49 + 3x, or -72 = 2x. Thus,
4x = 72 and x = 18.
Check: Is 7x - 23 = 49 + 3x true when x = 18?
7(18) - 23 = 49 + 3(18)?
103 = 103? yes
Also: If we concentrate on the triangle in the middle of the picture:
49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)
Then: 49 + 180 + 23 - 7x + 11y - 1 = 180. But x = 18, so we have:
125 + 11y = 180, or 11y = 55, and so y = 5
Find an equation in standard form of the parabola passing through the points.
(2, −8), (3, −8), (6, 4)
Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?
Answer:
49 cents that is the answer
there are 24 apples how many Sims can even wish are these apples
Answer:
6applies
Step-by-step explanation:
because 24 apples+6=30 right right right
What is the slope of the line in this graph?
A. 5/9
B. 5/7
C. 7/5
D. 9/7
Answer:
B) 5/7
Step-by-step explanation:
...............
Answer:
b) 5/7
Step-by-step explanation:
rise/run
0(-7) helppppppppppppppppppppp
Answer:
0
Step-by-step explanation:
anything multuplied by 0 is 0
4.) You paid $51 for four tickets to a play. What is the unit price?
O $12.75
$12.50
O $13.00
$12.00
Answer:
$12.75
Step-by-step explanation:
To find the unit price of something divide the cost by the amount of the Item
Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours
Answer:
B.) 30 miles in 5 hours
Step-by-step explanation:
If you were to simplify all the ratios:
A) 12:3 divided by 3/3 is 4:1
B) 30:5 divided by 5/5 is 6:1
C) 35:5 divided by 5/5 is 7:1
D) 45:9 divided by 9/9 is 5:1
B is 6:1.
What is the value of x in the equation ?
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
This is our equation
[tex]2.5\left(6x-4\right)=10+4\left(1.5+0.5x\right)[/tex]
First off we can distribute the 2.5 and the 4
Now our equation is [tex]15x-10=10+6+2x[/tex]
subtract [tex]2x[/tex] from both sides
[tex]13x-10=16[/tex]
add [tex]10[/tex] to both sides
[tex]13x=26[/tex]
Divide both sides by [tex]13[/tex]
[tex]x=2[/tex]
Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.
This is a system of equations
Answer:
hamburgers - $4.30 hotdogs- $3.50
The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,
5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5
Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.
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I need help i have no clue what to do!
Answer:
-2x-6y= -14 (i)
-6x-2y= -26 (ii)
Multiply eq (i) by 3
-6x-18y= -42 (iii)
-6x-2y= -26 (ii)
Subtract eq (iii) from ii
-6x -18y = -42
+6x+2y = +26
_______________
0 - 16y = -16
●y= 1
Put y =1 in eq 1
-2x -6 (1) = -14
-2x = -14 + 6
-2x = -8
●x =4
x=4 y=1
BRAINLIST PLS
It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.
Answer:
-2.5x < -20
Step-by-step explanation:
x represents the number of hours that must pass for the temperature to drop below −20°C.