In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth
Answer:
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex] ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
Solve for x
I
(2x +1)° (5x +50°
Answer:
5 x + 1
Step-by-step explanation:
5 × + 50°
Any non - zero expression raised to the power of 0 equals 1
5 x + 1
Answer:
x = 12
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
since this is a right triangle
90° + 2x + 1 + 5x + 5 = 180° add like terms
7x + 96 = 180 subtract 96 from both sides
7x = 84 divide both sides by 7
x = 12
Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $
Answer:
Rachel earn $85 in 10 hours.
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.
1 hour = $(34/4)
= $8.5
He earns $8.5 in an hour.
To find his earning in 10 hours, multiply $8.5 by 10. So,
Earning = $8.5 × 10
= $85
Hence, Rachel earn $85 in 10 hours.
Answer:
85
Step-by-step explanation:
I am right
graph y= -x -6 please
Answer:
Correct
Step-by-step explanation:
Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.
these triangles are congruent by the triangle congruence postulate
Answer: SSS
Step-by-step explanation:
SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.
Round 0.00208815 to 3 significant figures
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)
What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
Answer:
Step-by-step explanation:
If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]
-1 is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, a line that is parallel to the line joining (7,-5) and (-5,7)
Since lines are parallel to each other thus their slope will be the same.
From the general formula of slope:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (7 + 5)/ -5 - 7)
Slope = -1
Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.
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Find the slope
-5/4
4/5
-4/5
Answer:
The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to answer the question
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]
∴ The slope of the line is [tex]\frac{4}{5}[/tex]
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
CAN U GUYZ PLz HELP MEH??? PLZPLZPLZPLZPLZPLZPLZPLZPLZ???????
If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?
Answer:
$600
Step-by-step explanation:
450➗75✖100= 600. The original price was $600.
Answer:
600
Step-by-step explanation:
450/.75=600 dollars
What is the square of 20
First you need to know that square means multiplicatin by itself to itself so square of 20 means 20×20=400
The square root of 20 is 4.472
The square or 20^2 is 20•20=400
Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?
Answer:
0 n=11
Step-by-step explanation:
1. Distribute
+1=4(−8)
2. Subtract 1 from both sides of the equation
+1=4−32
+1−1=4−32−1
3. Simplify
=4n−33
4. Subtract 4 from both sides of the equation
=4−33
−4=4−33−4
5. Simplify
−3=−33
6. Divide both sides of the equation by the same term
−3=−33
-3n/-3=-33/-3
7. Simplify
=11
Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2
Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
-4 5/6 + (3 1/3) =
How dI you do this?
Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000
I know the answer is 64, but how? Can someone please explain me to me how to work this out?
1) x+30 = 40
2) 30-20+2x=10
3) 3x-10+13=-2x+28
4) 13x-23-45=-7x+12
5) 2(x+4) = 10x+24
6) 3(x-5) = 1-(2x-4)
7) 5X -10 = 15
2
8) X + 4 = X + 6
3 2
1)x+30=40
x=40-30
Answer :x=10
2)30-20+2x=10
10+2x=10
2x=0
Answer: x=0
3)3x-10+13=-2x+28
3x+3=-2x+28
3x+2x+3=28
3x+2x=28-3
5x=28-3
5x=25
x=5
4)13x-23-45=-7x+12
13x-68=-7x+12
13x+7x-68=12
13x+7x=12+68
20x=12+68
20x=80
x=4
5)2(x+4)=10x+24
2x+8=10x+24
2x-10x+8=24
2x-10x=24-8
-8x=24-8
-8x=16
x=-2
6)3(x-5)=1-(2x-4)
3x-15=1-(2x-4)
3x-15=1-2x+4
3x-15=5-2x
3x+2x-15=5
3x+2x=5+15
5x=5+15
5x=20
x=4
7)5x-10=15
5x=15+10
5x=25
x=5
8)x+4=x+6
4=6
no solution
PLEASE MARK ME AS BRAINLIEST
2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%
Answer:
a. 0.04
b. 6.33
Step-by-step explanation:
a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04
4/100 = 0.04
b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33
633/100 = 6.33
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months
Answer:
17.7 meters
Step-by-step explanation:
x = 30
15 + 0.09*30
0.09*30 = 2.7
2.7 + 15 = 17.7 meters
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
Answer:
2 years: 30
5 years: 75
7 years :105
10 years:150
i think those are the answer
Step-by-step explanation:
take the interest percentage and divide by 100 ex:5.2%100= 0.052
take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40
take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it
Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.
What is simple interest?The formula for simple interest is:
I = Prt
Where:
I = Interest earned
P = Principal (amount invested)
r = Interest rate (as a decimal)
t = Time (in years)
Using the simple interest formula to calculate how much Nishi will have after a certain number of years.
2 years:
I = Prt = 3000 x 0.05 x 2 = $300
Total amount after 2 years = P + I = $3300
5 years:
I = Prt = 3000 x 0.05 x 5 = $750
Total amount after 5 years = P + I = $3750
7 years:
I = Prt = 3000 x 0.05 x 7 = $1050
Total amount after 7 years = P + I = $4050
10 years:
I = Prt = 3000 x 0.05 x 10 = $1500
Total amount after 10 years = P + I = $4500
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Which of the following is r^2 + 4s evaluated for r = 4 and s = 1.5?
14
30
38
22
Answer:
22
Step-by-step explanation:
Once you fill in the variables your equation will look like this::4^2+4(1.5)::you will the go multiply both parts of the equation leaving you with 16+6 and when you add those together you get 22.
Hope This Helps!
Name the slope and y-intercept of the graph of each question
y = 3x + 8
5x+y=17
PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points
Answer:
Step-by-step explanation:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Answer:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Step-by-step explanation:
HELP IM TIMED ROUND THE FACTOT AND ESTIMATE THE PRODUCT FOR EACH ONE
Answer:
The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is 9,000 x 57,000 = 513,000,000
Step-by-step explanation:
Solve for x. Perimeter = 126 meters
Answer:
image or context?????
Step-by-step explanation:
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
a=9
b=12
What is the length of c?
Answer:
c = 15
Step-by-step explanation:
a^2 + b^2 = c^2
This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).
Given a and b we are able to solve for c
c^2 = 9^2 + 12^2
c^2 = 81 + 144
c^2 = 225
Square root both sides to cancel the square
c = 15
Answer:
15
Step-by-step explanation:
Use this equation
a^2+b^2=c^2
so,
9 squared is 81 and 12 squared is 144.
81+144=225
The square root of 225 is 15.