Surface Area = 96in³
To find the surface area of a triangular prism we can use the following equation
[tex]SA = Perimeter * Height[/tex]
The perimeter is the perimeter of one base, and the height is the length of the lines connecting both bases. Now that we know that we can input that into the equation
[tex]SA = (5 + 4 + 3)8\\SA = (12)8\\SA = 96\\[/tex]
Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
A. y=2x-2
B.y= -1/2x+8
C.y=-1/2x-8
D.y=2x=2
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the (6,5) points
in order to do so
recall that,
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{m} [/tex]
we got from our given equation that m=2
because equation of a line is y=mx+b
thus
[tex] \displaystyle m_{ \text{perpendicular}} = - \frac{1}{2} [/tex]
remember that, when we want to figure out perpendicular line or parallel line we should the formula given by
[tex] \displaystyle y - y_{1} = m(x - x_{1})[/tex]
since we got our perpendicular m is -½, [tex]x_1=6[/tex] and [tex]y_1=5[/tex], substitute
[tex] \displaystyle y - 5 = - \frac{1}{2} (x - 6)[/tex]
to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:
[tex] \displaystyle y - 5 = - \frac{1}{2} x + 3[/tex]
add 5 to both sides:
[tex] \displaystyle y = - \frac{1}{2} x + 8[/tex]
hence,
our answer choice is B
Which is the number name for 32.611? thirty-two and ciy bundrom
Answer:
Winnipeg.
Step-by-step explanation:
Someone help PLZ make sure it’s right if it is will mark brainiest
Answer:
The measure of the indicated angle to the nearest degree is 68°
Step-by-step explanation:
hope it helps
PLS GRAPH THE EQUATION!!
Answer:
Step-by-step explanation:
There are 30 students in a class. Which equations represent the situation if the number of boys
is b and the number of girls is 7? Select all that apply.
A. b x 30 = 7
B.b = 30- 7
C. b = 30 + 7
D. b +7 =30
E. b x 7 =30
Step-by-step explanation:
A. b x 30 = 7E. b x 7 =30C. b = 30 + 7
LCM of 4, 6, 10, and 12
Answer:
360 is the LCM of 4,6,10 and 12
(X-2/3)^2+y^2 =36
What is its center?
What is its radius
Answer:
0(2/3; 0)
Step-by-step explanation:
What is the area of a regular hexagon with perimeter of 90 ft?
Answer:
A=584.57
Step-by-step explanation:
David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.
Step-by-step explanation:
after he buys everything he has 170.83 ( total 340.17) 73.43 times x
PEOPLE YOU ARE SMARTER THAN ME HELP
Answer:
1/2
Step-by-step explanation:
Answer: 1/2
length of A is 6 units
length of B is 3 units
dilated / original
3/6 simplified is 1/2
Is water wet?? Explain
Answer:
WATER IS not wet
Step-by-step explanation:
Water is NOT wet by itself, however it makes other materials wet when it sticks to the surface of them.
Answer:
Water isn't wet by itself, but it makes other materials wet when it sticks to the surface of them. Wetness is the ability of a liquid to adhere to the surface of a solid, so when we say that something is wet, we mean that the liquid is sticking to the surface of a material.
Help!!! Please!!! Very much appreciated
Answer:
-0.2
Step-by-step explanation:
Gradient/slope = [tex]\frac{7-5}{15-25} = \frac{2}{-10} = -0.2[/tex]
D
Y2 - Y1 / X2 - X1
7-5 =2 / 15-25 =-10
2/-10 =-0.2
ten friends scored the following marks in their end of year maths exam: 23 37 45 49 63 63 70 72 82. What was the mean deviation of their marks
Answer:
50.4
Step-by-step explanation:
mean is just another way for syaing average
all the numbers added = 504
dived it by the number of scores
504 divided by 10 = 50.4
50 POINTS PLS HELP
Choose all the formulas that correctly represent the arithmetic sequence 101, 114, 127, .... Select the two correct answers.(1 point)
an=101+13n
an=13+101(n−1)
an+1=an+13, a1=101
an=101+13(n−1)
an+1=an+101, a1=13
Answer:
an=101+13(n−1)
an+1=an+13, a1=101
Find x.
Do not round your answer.
12 cm
6 cm
Answer: 16.6
Step-by-step explanation:
b(a+b)= d(c+d)
6(12+6)=5(x+5)
6(18)=5x+25
108=5x=25
-25
83=5x
divided by 5
Equals 16.6
A westbound train travels 16 miles per hour slower than the eastbound train. If two trains are 800 miles apart after 5 hours what is the rate of the westbound train?
Answer:
6
Step-by-step explanation:
The rate can be calculated as follows
x + x -16
2x-16
(2x-16)×5
10x - 80= 800
10x = 300-80
10x, = 220
x = 220/10
= 22
22-16
= 6 mph
Hence the rate of the west bound tsin is 6mph
Find the first four terms of the sequence, an = 4 − 2n
Answer:
2, 0, -2, -4
Step-by-step explanation:
an = 4 − 2n
a1 = 4 - 2(1) = 2
a2 = 4 - 2(2) = 0
a3 = 4 - 2(3) = -2
a4 = 4 - 2(4) = -4
Answer:
(2, 0, -2, -4)
Step-by-step explanation:
a(1) = 4 - 2(1)
= 4 - 2
= 2
a(2) = 4 - 2(2)
= 4 - 4
= 0
a(3) = 4 - 2(3)
= 4 - 6
= -2
a(4) = 4 - 4(4)
= 4 - 8
= -4
Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate?
Answer:
They have atleast two or one left
Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)
3 feet
1 foot
2 feet
A package is shaped like a right rectangular prism. Use the dimensions shown to find the surface area of this package.
A)6 square feet
B)12 square feet
C)20 square feet
D)22 square feet
Answer:
The surface area is 22 square feet
Step-by-step explanation:
For a right rectangular prism, we have the formula for the area as;
A = 2(lb + lh + bh)
Accordingly, we have l as the length, b as the breadth and h as the height
Using the given dimensions, we have
A = 2(3(1) + 3(2) + 1(2))
A = 2(3 + 6 + 2)
A = 2(11) = 22 square feet
Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.
Answer:
25 minutes
Step-by-step explanation:
let x represent total time when both containers to have the same amount of water.
the equation to represent container A = 200 + 6x
the equation to represent container B = 500 - 6x
Because both containers would have the same amount of water, the two equations would be equal to each other
200 + 6x = 500 - 6x
collect like terms
12x = 300
x = 300/12
x = 25 minutes
i need help asap please
Answer:
1. 1570
2. can't see properly
3. can't see properly
4. 392.5
5. 615.4
6. 6049
7. not clear can't see
8. 1589
9.:1570
Find the upper bound for the following length:
A) 18.7cm correct to 1 decimal place.
B) 58.37cm correct to 2 decimal places.
Please help.
Part A
Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"
Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8
So this means that the largest we can measure is 18.74 and it is the upper bound we're after.
Answer: 18.74 cm=========================================================
Part B
We use the same idea as part A, but now we're extending out one more decimal place.
We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374
By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm
Answer: 58.374 cm
Hi how do I do this ❤️
Answer:
51
Step-by-step explanation:
Need help fast!!!
Use the number line to compare the numbers.
Drag and drop the numbers to place them in increasing order.
Answer:
the sequence of numbers starting left to right is: -2 -1.6 -1 -1/6 0 3/7 0.6 1 2
Step-by-step explanation:
Answer:
Ok so -1.6 goes in between -2 and -1. Then -1/6 goes in between -1 and 0. Then 0.6 goes between 0 and 1. And last 3/7 goes between 1 and 2.
Step-by-step explanation:
hope this helps you :)
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the members would like to raise $3900 every night to cover all expenses. Let d represent the number of adult tickets sold at $8.50. Let s represent the number of student tickets sold at $5.50 each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $3900 did ticket sales fall?
yeah
Answer:
$137.00
Step-by-step explanation:
add all the money then add the 600 to the money u get.
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50m
square units. Based on this information, which argument can be made?
The volume of the square prism is
the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.
Answer:
The volume of the sqaure prism is eqaul to the volume of the cylinder.
Answer: B
Step-by-step explanation:
Please answer question attatched thanks :)
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. Is she correct
Answer:
Yes, she is correct
Step-by-step explanation:
A trapezoid has exactly one pair of parallel lines and 4 sides
What is the length of the unknown
leg of the right triangle?
Answer:
2ft
Step-by-step explanation: