Find the surface area of the triangular prism Formula: SA= p * h + 2 * b
ANSWER:
139 square yards
STEP-BY-STEP EXPLANATION:
We have that the formula for the surface area of a triangular prism is the following:
[tex]A=p\cdot h+2b[/tex]Where p, is the perimeter is the base and h is the height, while b is the area of the base, we replace and calculate the area like this:
[tex]\begin{gathered} p=4+4+5=13 \\ A=13\cdot9.5+2\cdot7.75 \\ A=123.5+15.5 \\ A=139 \end{gathered}[/tex]The area is 139 square yards
The ratios in an equivalent ratio and 3:12 , 4:16 and 5:20 if frost number is 10 what is the second number ?
PLS HELP ON THIS 50-(-20)
Use each of the three corresponding base and height pairs to find the area of the triangle. Why is the area the same for each calculation?
Answer:
The three correct corresponding pairs that gives the same area are;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]The areas are the same in each case because the product of each pair is the same.
Explanation:
Given the base and height pairs in the question.
Let us use the corresponding pairs that gives the same area.
Firstly, for the first pair;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times10\times7=35cm^2 \\ A=\frac{1}{2}\times10\times2.5=12.5cm^2 \end{gathered}[/tex]Secondly, the second pair is;
[tex]\begin{gathered} A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times5\times3.5=8.75cm^2 \\ A=\frac{1}{2}\times5\times2.5=6.25cm^2 \end{gathered}[/tex]Thirdly, the third pair;
[tex]\begin{gathered} A=\frac{1}{2}\times14\times3.5=24.5cm^2 \\ A=\frac{1}{2}\times14\times7=49cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]Therefore, the three correct corresponding pairs that gives the same area are;
[tex]\begin{gathered} A=\frac{1}{2}\times10\times3.5=17.5cm^2 \\ A=\frac{1}{2}\times5\times7=17.5cm^2 \\ A=\frac{1}{2}\times14\times2.5=17.5cm^2 \end{gathered}[/tex]The areas are the same in each case because the product of each pair is the same.
Will and Sarah are racing across the playground. Instead of running, they are hopping. During the race, they must both hop at the same time. In one hop, Will can travel 5 feet, and Sarah can travel 4 feet.
The playground is 200 feet wide. Will wins the race after hopping 40 times. How far had Sarah hopped when Will finished the race?
I know the answer i just need explanation.
Sarah has hopped for 160ft when Will finished the race.
What is basic arithmetic?
Specific numbers and their computations employing a variety of fundamental arithmetic operations are at the center of arithmetic mathematics. Algebra, on the other hand, deals with the limitations and guidelines that apply to all other types of numbers, including whole numbers, integers, fractions, functions, and so on. Arithmetic math serves as the foundation for algebra, which always adheres to its definition. A large range of subjects fall within the broad definition of mathematics, which encompasses a very broad range of topics. Beginning with the fundamentals like addition, subtraction, and division of numbers, they then move on to more complicated topics like exponents, variations, sequence, progression, and more. This part does touch on some of the mathematical formulas and mathematical sequence. Four essential mathematical operations—addition, subtraction, multiplication, and division—are covered in basic arithmetic.
For Will
5 × 40
= 200 feet
For Sarah
4 × 40
= 160 ft
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Whileat the fruit stand, ramon bought 3 punds of apples that cost $0.89 per pound and 4 cantaloupes that each cost $1.09. about how much money did he spend, not including tax?
The total money spent on fruits is $7.03
While at the fruit stand, Ramon bought the following fruits,
3 pounds of apples that cost $0.89 per pound
4 cantaloupes that each cost $1.09
So, the total amount he spent on the materials he bought without including taxes is,
Total money spent = 3 x ( 0.89 ) + 4 x ( 1.09 )
= 2.67 + 4.36
= 7.03
The total money spent on fruits is $7.03
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The longest side of a right angle triangle
is √46cm
One of the shorter sides has a length of
√7cm
What is the perimeter of the triangle?
Answer:
The exact answer would be:
[tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex] an approximate answer to the nearest whole number would be 7
Step-by-step explanation:
To find the missing side we would use the Pythagorean Theorem.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] =[tex]c^{2}[/tex]
[tex]\sqrt{7} ^{2}[/tex] + [tex]b^{2}[/tex] = [tex]\sqrt{46} ^{2}[/tex]
7 + [tex]b^{2}[/tex] = 46 Subtract 7 from both sides
[tex]b^{2}[/tex] = 39
[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{39}[/tex]
b = [tex]\sqrt{39}[/tex]
The perimeter, the distance around the triangle, is [tex]\sqrt{39}[/tex] + [tex]\sqrt{7}[/tex] + [tex]\sqrt{46}[/tex]
Please find the coordinates and also reflect the points on the axis’s, and please demonstrate and plot the points on the graph too reflect it.
A' = (1, 3)
B' = (0, 6)
C' = (-3, 5)
D' = (-2, 2)
Hello I am not sure for what to do for the end of the equation.
ANSWER
25
EXPLANATION
We are given that p and q intersect to form <1 and <2 that are adjacent.
Let us represent that with a diagram:
We have that <1 and <2 are supplementary.
This means that they add up to 180 degrees.
So:
<1 + <2 = 180
4x - 3 + 3x + 8 = 180
Collect like terms:
4x + 3x + 5 = 180
7x = 180 - 5
7x = 175
x = 175 / 7
x = 25
That s the value of x for which <1 and <2 are supplementary.
please answer this following question.
on the triangle on the left, on the bottom left of that triangle it says,
[4(x +2)]
The two triangles are not similar to each other.
What is perimeter?The perimeter of the triangle is the sum of the lengths of all its sides.
The angle of triangle = 62
The two equal angles = [4(x +2)] and (5x - 7)
According to the question,
The Perimeter of triangle are;
[4(x +2)] + (5x - 7) + 62 = 180
4x + 8 + 5x - 7 + 62 = 180
9x + 63 = 180
9x = 117
x = 13
The other triangle is
6x + 62 + 6x + 6 = 180
12x + 68 = 180
12x = 112
x = 9.33
Hence, the two triangles are not similar to each other.
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Jenna bought a new car for $29,000. She paid a 10% down payment and financed
the remaining balance for 48 months with an APR of 4.5%. Determine the monthly
payment that Jenna pays.
If the remaining balance for 48 months with an APR of 4.5%. the monthly payment that Jenna pays is: $595.17.
How to find the monthly payment?Using this formula to determine the monthly payment
P = A ×r × ( 1 +r)^n ÷( 1+ r)^n -1
Where:
P = Principal = ?
A = Amount = $29,000 × ( 1- .10) = 26,100
r = Interest rate = 4.5% / 12 = 0.00375
n = number of months = 48 months
Let plug in the formula
P = 26,100 × 0.00375 × ( 1+ 0.00375)^ 48 ÷ ( 1+ 0.00375)^ 48 -1
P = 26,100 × 0.00375 × ( 1.00375)^ 48 ÷ ( 1.00375)^ 48 -1
P = 26,100 × 0.00375 × 1.196814377 ÷ 1.196814377 -1
P = 26,100 × 0.00375 × 1.196814377 ÷ 0.196814377
P = $117.1382456 ÷ 0.196814377
P = $595.17
Therefore $595.17 is the monthly payment.
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name the rule and list the next three terms in the pattern 2,4,8,16,32...
This is Geometric progression G P
[tex]\begin{gathered} \\ 2^1=2 \\ 2^2=4 \\ 2^3=8 \\ 2^4=16 \\ 2^5=32 \\ 2^6=64 \\ 2^7=128 \\ 2^8=256 \end{gathered}[/tex]The next three terms are;
64,128,256
I really need help with this question
Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. At what rate is the turtle crawling in miles per hour
If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The rate that the turtle is crawling in miles per hour is: 0.2 miles /hour .
Determining the Unit rate per mileGiven data:
1/2 of an hour = 1/20 of a mile
Now let determine the unit rate
Unit rate that the turtle is crawling is: (1/20)/(1/2)
Hence,
Unit rate = (1/20)×(2/1)
Unit rate = 2/20 miles/hour
Unit rate = 0.2 miles /hour
Therefore the rate is 0.2 miles per hour.
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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that,
A turtle is trained by Tanya,
For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.
We need to find at what rate the turtle is travelling per hour.
Let x be the distance travelled by turtle in hour.
1/20/1/2=x/1
Apply cross multiplication
x/2=1/20
x=2/20
x=0.1 miles / hour
Hence 0.1 miles per hour is the turtle travelling per hour.
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Please help me in math the question is in the picture please
If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.
What is work?The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.
For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Mathematically, the above statement is expressed as follows:
W = (F cos θ) d = F. d
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Explain each step in the space provided below.
Answer:
1) multiply and divide by 2 on right hand side
2) multiply by 24 on both sides ( LHS and RHS)
3) divide by -1 on both sides so that negative sign on RHS will be cancelled
Please see the picture below. I need parts A B and C
We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:
Since the vertical line touches the graph in two axes this means that the given graph is not a function.
In 3 hours, 5 people can paint a hall with the area of 750 ft 2. How long would it take for 2 people to paint the hall with the same rate of speed?
ANSWER:
STEP-BY-STEP EXPLANATION:
In this case, we can make a proportion, since we know the time when there are 5 people, we need to know the time when there are two people
[tex]\frac{5}{3}=\frac{2}{x}[/tex]solving for x:
[tex]undefined[/tex]50 pointssss!!!!
if N is a nonzero integer, then n+1 divided by n is always greater than 1
Find a counter example to show its false
Answer: Plugging in -1 for n.
Step-by-step explanation:
Equation:
(n+1) / n
Given the equation above what can we plug in for n to make the equation less than or equal to 1?
(-1 + 1) / -1 = 0/-1 = 0
Inputting negative one will cause the statement to be false.
Answer:
11n
Step-by-step explanation:
if the value of the response variable is uniquely determined by the values of the predictor variables, we say that the relationship between the variables is: (choose the correct response)
Deterministic.
The relationship between the variables is deterministic. A deterministic relationship refers to a relationship in which the dependent variable does not depend on other elements (variables) other than the independent element classified in the relationship. The independent variable (element) in the relationship possesses an exact value. Hence deterministic relationship is also named as the exact relationship between variables.
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Write the numbers from greatest to least -2.1, -1 5/6, -1 2/3, -2.2
In form of a/b
The numbers from greatest to least is - 1 2/3, -1 5/6, -2.1 and -2.2.
How to calculate the values?Based on the information, we want to arrange the numbers from the greatest to the least.
In this case, it will be illustrated thus:
-2.1
-1 5/6 = -1.83
-1 2/3 = -1.67
-2.2
This will be arranged as - 1 2/3, -1 5/6, -2.1 and -2.2. In this case, it can be deduced that - 1 2/3 is the greatest and the least number is -2.2. This shows the concept of descending numbers.
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17) g(x)= x³ + 4x²
f(x) = 3x + 1
Find g(x) + f(x)
Answer:
x³ + 4x² + 3x + 1
Step-by-step explanation:
fg(x) + f(x)
= x³ + 4x² + 3x + 1
Directions are with the pic below. Please help with question #1.
Solution:
Let each cubic block be represented with x
Let each spherical block be represented with y
Let each cylindrical block be represented with z
For A,
3x + y = 2y + z
For B,
3x = 5y
For c,
We want to find 3x + 3y
From
3x + y = 2y + z
3x +y -2y =z
3x-y = z-----------------------(m)
From B,
3x = 5y
Substitute 3x = 5y into (m) above
3x-y = z
5y-y = z
4y = z----------------------------------(b)
From C,
3x + 3y = 5y + 3y = 8y
3x + 3y = 2(4y)
3x + 3y = 2z
Recall, z = cylindrical block
The two blocks that will balance C is cylindrical block
Just the coordinates is fine :)
To give an entity the desired position, orientation, or shape starting from the current position, orientation, or shape, geometric transformations are required. Scaling, rotation, translation, and shear are the fundamental transformations. Projections and mappings are two additional crucial categories of transformation.
Y =- X is what kind of a transformation?
Y = X's reflection:
The x-coordinate and the y-coordinate switch positions when a point is reflected across the line y = x. Y = -x reflection: The x-coordinate and the y-coordinate switch places when you reflect a point across the line y = -x, and they are negated (the signs are changed).
The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. The cross-sectional reflection of point (x, y)
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An engineer is designing the parking lot shown below for a local grocery store. The parking spaces are marked with lines where XD←→∥TZ←→∥YF←→∥LP←→ and WC←→− is a transversal. m∠CNL=(6x−17.6)°, m∠FBH=(12y−22)°, and m∠THR=(3x+29.2)°
Answer:
Step-by-step explanation:
How many times larger is (1.76 x 10^1) than (8 x 10^-1)
Answer:
14.7 times bigger is (1.176 x 10¹) than (8 × 10-¹) if the numbers are (1.176 x 10¹) than (8 × 10-¹).
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
To compare numbers this way, we divide.
(1.76 × 10^1) / (8 × 10^-1) =
= 1.76/8 × 10^1 / 10^-1
= 0.22 × 10^(1 - (-1))
= 0.22 × 10^2
= 22
Hello, I was wondering if the fraction 5/2 x and 5x/2 have the same value.
We have:
[tex]\frac{5}{2}x\text{ and }\frac{5x}{2}[/tex]These fractions are equal because the x is found by multiplying and it is as if we have this:
[tex]\frac{5}{2}\times\frac{x}{1}\text{ and }\frac{5\times x}{2}[/tex]And as we already know:
[tex]\frac{5}{2}\times\frac{x}{1}=\frac{5\times x}{2\times1}=\frac{5\times x}{2}=\frac{5x}{2}[/tex]A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
Determine whether each order pair is a solution of the equation
Answer:
Given equation is, x+3y=6
To determine whether each order pair is a solution of the equation
(3,1)
we have that, when x=3 we get y=1
Let us check this in the equation.
Put x=3, we get
[tex]3+3y=6[/tex][tex]\begin{gathered} 3y=6-3 \\ 3y=3 \end{gathered}[/tex][tex]y=1[/tex]Hence (3,1) is the solution of the equation.
(6,0)
Put x=6, we get,
[tex]6+3y=6[/tex][tex]y=0[/tex]
Hence (6,0) is the solution of the equation.
(-2,2/3)
Put x=-2, we get,
[tex]-2+3y=6[/tex][tex]3y=6+2[/tex][tex]y=\frac{8}{3}[/tex]Hence (-2,2/3) is not the solution of the equation.
can anyone help on this
-3+(-17)
