Answer:
Step-by-step explanation:
volume=area of side triangle×distsnce between triangles
=1/2×20×8×5
=400 in³
Answer:
the answer would be 400
Step-by-step explanation:
20×8×5×.5
Builders are replacing the congruent roofs on House A and House B. What is the measure of
Someone please help me ?!?!?
Answer:
c
Step-by-step explanation:
Can you please help me solve this??
Answer:
Step-by-step explanation:
1.25 yd x 2 yd x 1.5 yd
= 2.5 yd^2 x 1.5 yd
= 3 3/4 yd^3
answer is D
please answer pleaseee If two cards are chosen from a standard deck of cards one at a time and then placed back in the deck, the probability of choosing two 5s is
============================================================
Explanation:
For now, let's focus on the probability of getting one "5".
There are 4 of these cards (one of each suit) and 52 total. The probability of getting the card we're after is 4/52 = 1/13.
We can think of it like saying "if we focus on one suit only, then there's a 1 in 13 chance of getting a '5' from this pile".
The probability of getting two "5"s in a row is (1/13)*(1/13) = 1/169 assuming we put the first card back. If the first card is not put back, then we would compute it like so: (4/52)*(3/51). I'll leave it unevaluated for you to try out as practice.
Side note: 1/169 = 0.0059 = 0.59% approximately
I need to know how to do this
Answer:
Let's walk through the steps together!
Step-by-step explanation:
1
a) we know that the Pythagorean theorem is a^2+b^2=c^2
a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).
We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)
16^2=236
12^2=144
so the formula now says that 236+144=x^2
236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.
so x=20
b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).
a^2+b^2=c^2 -> 100+b^2=289
This means that b=[tex]\sqrt{289-100}[/tex]
so b=[tex]\sqrt{189}[/tex]
so b=[tex]3\sqrt{21}[/tex]
2
These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d
a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18
d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16
3
I can't see the full problem so unfortunately, I cannot help you
I hope this helped in your understanding!
-Suvi
The book fair sold 60% of the books
donated to the book fair. They sold
72 books. How many books were
donated in all?
Answer:
120 Books
Step-by-step explanation:
60% of 120 is 72
does anybody know how to solve this problem?
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.
Please someone help!!!
Answer:
surface area of the cuboid
(2×2×5)+(2×12×5)+(2×12×2)
20+120+48
188 cm²
Kris finds a bag of glass beads on sale for $10.77 and a pattern book on sale for $8.00.
Does she have enough money to buy all five items? If not, how much more money does she need?
Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{\frac{2}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
The formula for the slope of two given lines given is 'rise over run'.⸻⸻⸻⸻
[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]
⸻⸻⸻⸻
We are given the points (3,5) and (8,7).⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
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someone please help me!!!!!!
Answer:
169×5=845
Step-by-step explanation:
ok now mark me brainlist
Precalculus continuity problem, use the 3 step definition of continuity to discuss the continuity (question is for jimthompson5910)
As the name implies, there are 3 parts or conditions that must be held true in order for the function to be continuous at x = a.
Those three conditions are:
f(a) existsThe limit [tex]\displaystyle \lim_{x\to a} f(x)[/tex] existsThe limiting value and the function value are the same, ie, [tex]\displaystyle \lim_{x\to a} f(x) = f(a)[/tex]---------------------------
In this case, a = -1 as this is where the junction happens. It's where f(x) swaps identity from the first piece x^2-3 to the second piece 3x+1
To compute f(a), aka f(-1), we'll use the second piece
f(x) = 3x+1
f(-1) = 3(-1)+1
f(-1) = -2
We see that f(a) does indeed exist, so condition (1) is held true.
----------------------------
To compute the limit, we'll need the left hand limit (LHL) and right hand limit (RHL)
The LHL is found by having x approach -1 from the left. So you'll start with something like x = -2, then move to x = -1.5 then to x = -1.1 then to x = -1.01, and so on, getting steadily closer to x = -1. We won't actually arrive at x = -1 itself.
But because x^2-3 is a polynomial, and all polynomials are continuous, we can simply plug x = -1 into this to find that...
y = x^2-3
y = (-1)^2 - 3
y = -2
The input x = -1 leads to the output y = -2 for the first piece. This is the LHL.
We found earlier that x = -1 lead to y = -2 for the second piece. This is the RHL.
Because LHL = RHL, we have proven condition (2) is true. It also means condition (3) is true because f(a) is part of the RHL, more or less.
----------------------------
In layman's terms, we can think of the two curves as roads. For the function to be continuous, the road cannot have any jumps, gaps, or potholes. Condition (1) says that the point must exist, aka there isn't a pothole there. Condition (2) says that the two pieces of the road, on either side of the point in question, must connect together. Hence there are no gaps or jumps. Condition (3) effectively ties everything together.
You might be asking if condition (3) is a bit redundant. Surely if f(a) exists and the limit exists, then that's enough to prove continuity, right? Unfortunately no that's not the case. Consider the situation where the limit exists, but f(a) was some other value. That means we have a removable discontinuity. That point in the road is a pothole but the two roads do connect.
One could argue that conditions (2) and (3) are sufficient, and condition (1) isn't really needed. This is because if condition (3) was the case, then we automatically have shown that f(a) must exist. This is of course assuming we found that the limit exists as well, and it's not plus/minus infinity.
fin the area of this trapezoid
Answer:
The answer would be 96
Step-by-step explanation:
Because 20/2=10x2=20
19x4=76
20+76=96
Check the following pair of linear equations is consistent or inconsistent
5x - 3y = 11, -10x + 6y = -22
Answer:
Consistent
Step-by-step explanation:
It was a solution.
Kinyua spent 1/4 of his net salary on school fees. He spent 1/4 of the remainder on electricity and water bills. He spent 1/9 of what remained on transport. If he finally has she. 8400 calculate his total salary
Answer:
Let his net salary = x.
He spent 1/4th of x on School fees
Remainder = 1-1/4 = 3x/4
He spent 1/4th THE REMAINDER on Electricity and Water Bils
1/4 of remainder (3x/4) = 1/4 x 3x/4 = 3x/16
He spent 3x/16 of this salary on Electricity and Water Bills... We should subtract this to know our current value or cash at hand
New Remainder = 3x/4 - 3x/16
= 9x/16.
He spent 1/9th OF WHAT REMAINED ON TRANSPORT.
1/9 x 9x/16
=x/16
New Remainder
= 9x/16 - x/16
=x/2.
If he finally had 8,400
Then
x/2=8,400
x=2x8,400
x= 16,800.
This answer is Correct. You can check it by using our x as 16,800 and solve from the start... You'll arrive at 8400 as your remainder. Have a great day!!!
Someone help me please want asap
Answer:
C
Step-by-step explanation:
Trust me bro.
Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and
swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as
Ricardo. Which equation could you solve to find how long it will take John to catch up with Ricardo?
Does anyone know the answer?
Answer:
t = (t₁ · vr)/ (vj - vr) = 45 seconds
Step-by-step explanation:
Given:
Initial time from Ricardo t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,
John's velocity (speed) vj = 4 ft/s
Requested time when John catch Ricardo t = ?
During 15 seconds, Ricardo moved away
S = vr · t₁ = 3 ft/s · 15 s = 45 feet.
From that moment, the same time runs for both of them
Ricardo's path is S₁ = vr · t and John's path is S₂ = vj · t
S + S₁ = S₂ => S = S₂ - S₁ => 45 = vj · t - vr · t
When we draw t we get:
t ( vj - vr) = 45 t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds
t = 45 seconds
S₁ = vr · t = 3 · 45 = 135 ft
S₂ = vj · t = 4 · 45 = 180 ft
Please help I literally don’t understand this at all
Answer:
x=13 y=10 z=3 d) 260
Step-by-step explanation:
vertex angles are congruent so you can set them equal to each other and solve
and then a straight like adds up to 180 so 180-(7(x-3)+5y)= your missing angle and then that angles is congruent to its opposite so 2(5z+15)=60
You randomly choose a marble from a jar. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Find the probability of choosing a blue marble
Options:
8/27
2/5
8/25
4/12
pls answer quikly
Answer: 10/25 is the probability of choosing a blue marble.
Step-by-step explanation:
First, find out how many marbles there are in total. 3 + 10 + 8 + 4 = 25
Then, each number of marbles is how many out of 25. So, for example, red would be 3/25. Blue - 10/25. Green - 8/25. Yellow - 4/25
It asks you what the probability is, so, find the blue fraction that is out of 25, and thats the probability.
blue probability - 10/25green - 8/25yellow - 4/25red - 3/25Last summer Myrtle, worked 45 hours and earned $443.70. She wanted to make at least $550 this summer. Using an inequality, find how many additional hours must she work in order to reach this goal?
Answer:
11 hours
Step-by-step explanation:
Using an inequality, find how many additional hours must she work in order to reach this goal?
From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤
Hence,
Let the number of additional hours = h
Last summer Myrtle, worked 45 hours and earned $443.70.
The amount she earned per hour = $443.70/45
= $9.86
Our inequality equation is written as;
She wanted to make at least $550 this summer.
$9.86 × h ≤ $550
= 9.86h ≤ 550
h = 550/9.86
h = 55.780933063 hours
Approximately the additional hours she has to work =
55.780933063 - 45 hours
= 10 .780933063 hours
Approximately = 11 hours
Una pequeña empresa dedicada a la fabricación de muebles lanzará al mercado un nuevo modelo de escritorio para escolares a un precio de S/ 125. Los costos fijos son S/ 4,750 y los costos variables S/ 75. Entonces, ¿cuántos escritorios se deben fabricar y vender para obtener S/ 25 000 de utilidad?
Answer:
Se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.
Step-by-step explanation:
La utilidad por cada escritorio se obtiene al sustraer los costes fijos y variables del precio, es decir:
[tex]u = S/ \,125 -S/\,4,75 - S/\,75[/tex]
[tex]u = S/\,45.25[/tex]
El número de escritorios a vender para obtener [tex]S/\,25000[/tex] se calcula mediante la siguiente regla de tres simple:
[tex]x = \frac{S/\,25000}{S/\,45,25} \times 1\,esc[/tex]
[tex]x = 552.486[/tex]
Puesto que la cantidad a vender es una variable entera, se debe redondear al entero más cercano. En consecuencia, se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.
If A = 3x2 + 5x - 6 and B = 2x2 + 4x + 7, then A + B equals
Answer:
5x² + 9x + 1
Step-by-step explanation:
Given:
A = 3x² + 5x - 6
B = 2x² + 4x + 7
A + B:
3x² + 5x - 6 + 2x² + 4x + 7
(3x² + 2x²) + (5x + 4x) - 6 + 7
5x² + 9x + 1
Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.
Answer:
The correct answer is - 3 hours.
Step-by-step explanation:
Given:
Price of parts: $200
Price of labor: $75/hour
Total cost: $425
Solution:
Let x = x of hours work done on the car
The inequality can be represented as:
425 = 75x + 200
Solving this inequality, we find that
225 =75x
or
x = 3
Thus, It means that the mechanic will take at least 3 hrs to work on his car.
Three quarters of the ducks in a pond are mallards.
What percentage of the ducks are mallards?
Answer:
75%
Step-by-step explanation:
Mallards = 3/4 of the ducks in the pond
What percentage of the ducks are mallards?
percentage of the ducks that are mallards = 3/4 × 100
= (3 * 100) / 4
= 300/4
= 75%
percentage of the ducks that are mallards = 75%
PLSSS HELP ASAP DUE TMR MORNING
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Hurry please need fast
Answer:
SAS
Step-by-step explanation:
One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS
Someone help me with this
Answer:
D
Step-by-step explanation:
there are 9 digits.
and round it off to the nearest hundred million which is 3.
There are 8 digits before the 3... so 10 gets to the power of 8.___ 10⁸
3,0×10⁸ m.s^-1
Use the picture to find each of the following: HELPPP
need a answer for this please
This shape is made of a rectangular prism and a pyramid.
Find the total volume of this shape.
(A) 300 cubic units
(B) 225 cubic units
(C) 150 cubic units
(D) 125 cubic units
Answer:
I cant see the different side measurements
While reading a book, Shara
estimates that she is 75%
finished. If she has read 216
pages, then how long is the
book?
Answer:
288 pages
Step-by-step explanation:
Step 1: Set up a fraction (Since 75% is 216, 100% is x. We don't need the percent (%).)
[tex]\frac{216}{75} = \frac{x}{100}\\\\[/tex]
Step 2: Solve; Divide the given values (All we are doing is finding what is between those values.)
[tex]\frac{216}{75}\\\\216 \div 75\\\\= 2.88[/tex]
Step 3: Multiply the result to the value (Now we multiply the result to 100 because that would make it equal.)
[tex]100\\\\2.88 \times 100\\\\= 288[/tex]
Therefore, the book is 288 pages long.