Answer:
270 cm²
Step-by-step explanation:
The question is not complete, but a similar question is attached.
Solution:
A prism is a three dimensional polygon with two identical and opposite faces. These bases are called the base of the polygon.
A triangular prism is a prism in which its bases are triangular in shape and it also has three rectangular sides.
The total surface area (TSA) of a triangular prism is given by:
TSA = area of triangle 1 + area of triangle 2 + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangle 1 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²
Area of triangle 2 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²
Area of rectangle 1 = length * breadth =15 * 6 = 90 cm²
Area of rectangle 2 = length * breadth =15 * 5 = 75 cm²
Area of rectangle 3 = length * breadth =15 * 5 = 75 cm²
TSA = 15 cm² + 15 cm² + 90 cm² + 75 cm² + 75 cm² = 270 cm²
answer for brainlist with steps
Step-by-step explanation:
2+6x= -10 + 11(x + 4)
2+ 6x = -10 + 11x + 11(4)
2 + 6x = -10 + 11x + 44
2+ 6x = 11x + 34
6x - 11x = 34 - 2
-5x = 32
x= - 32/5
Answer:
Step-by-step explanation:
1) multiplication- 2+6x=-10+11x+44
2)addition or subtraction- 2+6x=11x+34
3)isolate the variable- -5x=32
4)divide 32 by 5= x=6.4 or 32/5
Grandma is baking 108 cookies. How many cups of sugar will she need?
Answer:
Step-by-step explanation:
. You invest $30,000 and leave it for 50 years. It grows to $361,223. What was the interest rate? Round to the nearest tenth of a percent. Use Growth Equation A = a(1 + r)t or Decay Equation A = a(1 − r)t for #1 - 4. Label all answer with appropriate units. PLEASE HELP THANK YOU
Answer:
these lessons, we will how to solve
• word problems that involve a single Simple Interest
• word problems that involve more that one Simple Interest.
• word problems that involve Simple Interest with discounted loan.
someone please help me w this .
Answer:
the second one
Step-by-step explanation:
A car traveling at 25 m/s starts to decelerate steadily. It comes to a complete stop in 5.5 seconds. What is the car’s acceleration?
Answer:
4.5 m/s
Step-by-step explanation:
acceleration is the change in velocity divided by time. so, 25 m/s going to 0 m/s (stop), which is 25, divided by 5.5 seconds is 4.5 m/s
Curtis deposits 550 into a saving account.The account pays 1.75% simple interest will he earn after 3 years? Round your answer to the nearest cent
In Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives
the price as $1560, plus a $100 rebate.. What is the total cost for the TV, including
sales tax and rebate in Minnesota?
Answer:
1560.38
Step-by-step explanation:
As far as I know, a sales tax is never calculated until money changes hands. So the rebate is the first amount to take place.
1560 - 100 = 1460
Now if the purchaser agrees to this amount and does anything to pay partially or in full, the tax is added.
Total Cost = 1460 * (1.06875)
Total Cost = 1560.38
Edit
You have to be very careful when you use a term like rebate. Rebate is a very special kind of discount. Your purchase has to qualify for a rebate. Apparently this one does. If you are willing to spend 1560 on something, the merchant selling the product offers you a rebate to help you decide.
If the TV cost is 1200 you may not get the rebate.
Every morning, siblings Jack and Jill roll a regular six-sided die to determine who will get to ride in the front seat on the way to school. If the number is even, Jack gets to ride in the front. If the number is odd, Jill gets to ride in the front. A. In the first 20 school days, how many times would you expect Jack to get to ride in the front seat? B. In the first 100 school days, how many times would you expect Jill to get to ride in the front seat? C. Which prediction (Jack or Jill's) do you think will be closer to the actual frequency? Use complete sentences to justify your answer.
Answer and explanation:
Probability= number of favorable outcomes/total number of outcomes
A regular six-sided die which is numbered from 1 to 6 has 3 even numbers(2,4,6) and 3 odd numbers(1,3,5)
A. Given that Jack will only ride in the front seat if the number is even, probability that Jack would ride in the front seat = 3/6=1/2
Therefore Jack will ride in the front seat half the time. In 20 days, Jack would ride in the front seat for 10 days.
B Given that Jill will ride in the front seat if the number is odd, probability that he would ride in the front seat = 3/6=1/2
Or we could simply say probability that Jill will ride in the front seat given that probability that Jack will ride in the front is 1/2 =1-1/2=1/2
C. Both predictions are likely to be closer to the actual frequency based on probability calculated.
A rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle. What is the area in square centimeters of the dilated rectangle?
Answer:it’s 4,000
Step-by-step explanation:
The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.
What is scale factor? How it is used in Dilating sides?
Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -
K = a/b.
Rewriting, we get -
a = Kb
If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]
Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.
Now, after dilation the new dimensions will be -
Length = 3.5 x 80 = 280 cm
Width = 3.5 x 50 = 175 cm
The area in square centimeters of the dilated rectangle will be -
A[d] = 280 x 175 = 49000 square centimeters
Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters
To solve more questions on dilation, visit the link below-
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PLEASE HELP! Complete each congruency statement and name the rule that is used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write "CNBD" for "Cannot be determined" in place of the rule. M is the midpoint of line CI. ΔCAM ≅ Δ____ by ____
Answer:
In the situation where segment [tex]\overline {AM}[/tex] is perpendicular to segment [tex]\overline {CI}[/tex], such that [tex]\overline {AM}[/tex] is the perpendicular bisector to segment [tex]\overline {CI}[/tex] we have the following two column proof;
Statement [tex]{}[/tex] Reason
M is the midpoint of [tex]\overline {CI}[/tex] [tex]{}[/tex] Given
[tex]\overline {CM}[/tex] ≅ [tex]\overline {IM}[/tex] [tex]{}[/tex] Definition of midpoint
[tex]\overline {AM}[/tex] ≅ [tex]\overline {AM}[/tex] [tex]{}[/tex] Reflexive property
∠CMA = ∠IMA = 90° [tex]{}[/tex] Definition of perpendicular bisector
ΔCAM ≅ ΔIAM [tex]{}[/tex] By the Side-Angle-Side (SAS) rule of congruency
However, where the segment [tex]\overline {AM}[/tex] is not be assumed as perpendicular to segment [tex]\overline {CI}[/tex], then CNBD
Step-by-step explanation:
Answer:
It's CNBD. Leave the first blank...well blank
If James earns 2000$ every month, how much would James make in 11 months?
Answer:
$22,000
Step-by-step explanation:
2000 x 11
=22000
Answer:
500000000020000900000333000999990202i283u8
A triangle has angle measurements of 37°, 52°, and 91°. What kind of triangle is it?
Step-by-step explanation: Notice that one
of the angles is greater than 90° or obtuse.
Therefore, we call this an obtuse triangle.
Answer:
obtuse angle
Step-by-step explanation:
has an angle that isgreater than 90°
Solve.
-2 1/3 - (-5) = ?
Answer:
8/3
Step-by-step explanation:
A jar contains 125 marbles. Given 5% of the marbles are green, 39% of the marbles are blue, and the rest are red, how many red marbles are in the jar?
Answer:
70
Step-by-step explanation:
39+5=44
100-44=56
56 percent of 125 is 70
What is the slope of y = 4 - 2x
compare with y=mx+c
then
y=4-2x
y=-2x+4
c=4,m=-2
Answer:
slope = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4 - 2x , that is
y = - 2x + 4 ← is in slope- intercept form
with slope m = - 2
Find the circumference of the given circle 11 ft
Answer:
69.12
Step-by-step explanation:
f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?
Answer:
Please send me the polynomial of f(x) and g(x)..or you have opposite line with equation while you plot a graph
Factorise
a ) 21x+49=
b ) 3y^2-y=
c ) 8x^2+4x3=
d ) 24s^3t2+10s^2t4=
Can you answer these please :)
9514 1404 393
Answer:
a) 7(3x +7)
b) y(3y -1)
c) 4x^2(2 +x)
d) 2s^2t^2(12s +5t^2)
Step-by-step explanation:
These are factored by finding the greatest common factor of the given terms. Generally, that can be found by looking at the factors and finding the largest that is common to all terms.
__
a) 21 = 7·3; 49 = 7·7. The GCF is 7. Factoring that out gives ...
7(3x +7)
__
b) y is the only factor common to both terms.
y(3y -1)
__
c) 4 and x^2 are factors common to both terms, assuming the second term is 4x^3.
4x^2(2 +x)
__
d) 10 = 2·5; 24 = 2·12; the factors s^3 and s^2 share a factor of s^2; the terms t^2 and t^4 share a factor of t^2.
2s^2t^2(12s +5t^2)
A circle has a radius of 8x^6y^4 cm . The area of a circle can be found using a= πr2. What is the area of this circle in square centimeters ?
Answer:
[tex]a = 64 \pi x^{12}y^{8}[/tex]
Step-by-step explanation:
[tex]r = 8x^{6}y^{4}\\a = \pi r^{2} = \pi (8x^{6}y^{4})^{2} = 64 \pi x^{12}y^{8}[/tex]
Ahhhh
Help due asap
Show workings
- since the triangles are congruent, their side lengths and angles should be congruent.
- set them equal to each other.
3x - 5 = x + 6
2x - 5 = 6
2x = 11
x = 5.5
- now plug in.
AC = 3(5.5) - 5
AC = 11.5
so, option C.
At the corner produce market, apples cost $1 each and oranges cost $2 each.
Find the cost of the following:
6 apples and 3 oranges
5 apples and 4 oranges
8 apples and 2 oranges
PLS HELP!!
Answer:
the answer is $47
Step-by-step explanation:
you'll multiply the prices of their corresponding prices
PLZ HELP IM TIMED!!!!!!!!!!!!!!
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Write an equation representing how much Keith paid.
Step-by-step explanation:
Let x be the entry fee.
Let y be the cost of each ticket in dollars.
Since Keith paid the entry fee and 10 tickets,
we have x + 10y = $30.
Explanation Step-by-Step:
Let x reflects the fees for entry
Y is the cost of each fare,
Equation Gwen
Around x + 10y = 30... I) I
Equation of Tristan
Hey, x + 15y = 40...... (ii) The
Equation with Keith
Around x + 10y = 30.......... Iii. (iii)
By solving Eq. (ii) and (iii), we are getting
x= 10
Y = 2
Therefore, entrance fees = $10
Price of a fare = $2 = $2
Please mark me as the most brainless as it will assist me in reaching the next step.
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each children received 2 pieces. With how many pieces did she start?
Answer:
18
Step-by-step explanation:
total candy: t
t = 10+4(2) as there were 4 kids who got 2 pieces each
t = 18
Answer:
18 pieces
Step-by-step explanation:
10 for herself
2 × 4 = 8
10+8 = 18
Exercise 141
1 Simplify these ratios.
a 2:10
8 4:6
b3:18
h 9:15
C5:25
i 10:35
d 30:5
1 75:10
e 36:12
k 72:20
f 180:20
1 140:112
Answer:
a 2:10 1:5
8 4:6 2:3
b3:18 1:6
h 9:15 3:5
C5:25 1:5
i 10:35 2:7
d 30:5 6:1
1 75:10 15:2
e 36:12 3:1
k 72:20 18:5
f 180:20 9:1
1 140:112 5:4
Step-by-step explanation:
Divide each side of the colon by the same number until you cannot divide any more.
You have a Houston Rockets jersey signed by James Harden that is currently worth $670.00. The value of the
jersey will double each year. How much will it be worth 2026?
HELP HELPPPPP WILL MARK BRAINLIEST
Select all of the expressions that are equivalent to 16 5/2
Answer:
Step-by-step explanation:
C and E are corre6
The expressions that are equivalent to 16^(5/2) is 16^(5/2) is 4^(5), √16^(5), 16^(2 + 1/2), 16^(2) 6^(1/2).
What is an exponent?An exponent is a number or letter written above and to the right of a mathematical expression called the base. The exponent of a number says how many times to use that number in a multiplication.
Now the given expression is,
16^(5/2)
Since 4^2 = 16
Therefore we can write,
16^(5/2) = (4^2)^(5/2)
Using the exponent property,
a^b^(c) = a^(bc)
⇒ (4^2)^(5/2) = 4^{2*(5/2)}
⇒ (4^2)^(5/2) = 4^(5)
Thus,
16^(5/2) = 4^(5)
Now, Using the exponent property,
{a^(b)}^(c) = a^(bc)
Also, 16^(5/2) = 16^{5(1/2)}
⇒ 16^(5/2) = {16^(1/2)}^5
∵ 16^(1/2) = √16
⇒ 16^(5/2) = √16^(5)
Now, Using the exponent property,
a^(b)^(c) = a^{(b)(c)}
Also, 16^(5/2) = 16^(2 + 1/2)
Using the exponent property,
a^(b).a^(c) = a^{(b + c)}
16^(2 + 1/2) = 16^(2) 6^(1/2)
⇒ 16^(5/2) = 16^(2) 6^(1/2)
The expressions that are equivalent to 16^(5/2) is 4^(5), √16^(5), 16^(2 + 1/2), 16^(2) 6^(1/2).
To learn more about exponent:
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please help me please will give brainliest to
Answer:
Step-by-step explanation:
[tex]\left \{ {{a+c=123} \atop {7a+5c=829}} \right.[/tex]
7a + 7c = 861 ...... (1)
7a + 5c = 829 ..... (2)
(1) - (2)
2c = 32
c = 16
a = 123 - 16 = 107
Answer:
16 Children, 107 Adults
Step-by-step explanation:
a + c = 123
7a + 5c = 829
a + c = 123
a = 123 - c
7a + 5c = 829
7(123 - c) + 5c = 829
861 - 7c + 5c = 829
861 - 2c = 829
-2c = 829 - 861
-2c = -32
-2c/-2 = -32/-2
c = 16
a + c = 123
a + 16 = 123
a = 123 - 16
a = 107
Leo has 1/3 cups of sugar. He uses 3/4 cups of sugar in a recipe. How much sugar does Leo have left?
Answer:
1/12
Step-by-step explanation:
The total quantity of sugar used = 1/3 x 3/4 = 3/12 = 1/4
what he has remaining = 1/3 - 1/4
multiplu both fractions by 12
1/3(12) - 1/4(12) = 1/12
if a * b + 5 *a + 3 * b + 15= 24 and a+ 3 =6 then what is the value of a+b
Answer:
a +b = 2
Step-by-step explanation:
a +3 = 6
a = 6 -3
a = 3
Plugin a =3 in the equation,
a*b +5*a +3*b + 15 = 24
3b + 5*3 + 3b + 15 = 24
3b + 15 + 3b + 15 = 24 {combine like terms}
3b + 3b + 15 + 15 = 24
6b + 30 = 24 {Subtract 30 from both sides}
6b = 24 -30
6b = -6 {divide both sides by 6}
b = -6/6
b = -1
a + b = 3 + ( -1)
= 2
