Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation: 115-95=20
Two triangles have bases with lengths 5in and 8in.
a. Find the ratio of the areas of the triangles
b. If the area of the smaller triangle is 15in², what is the area of the larger triangle?
Show work
Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by [tex]A_{1}[/tex], and that of the larger triangle by [tex]A_{2}[/tex].
Area of a triangle = [tex]\frac{1}{2}[/tex] x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:
[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex]
Area of smaller triangle = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 5 x h
= [tex]\frac{5}{2}[/tex]h
Area of the lager triangle = [tex]\frac{1}{2}[/tex] x b x h
= [tex]\frac{1}{2}[/tex] x 8 x h
= 4h
So that;
Ratio = [tex]\frac{\frac{5}{2}h }{4h}[/tex]
= [tex]\frac{5}{8}[/tex]
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex] = [tex]\frac{5}{8}[/tex]
[tex]\frac{15}{A_{2} }[/tex] = [tex]\frac{5}{8}[/tex]
5 [tex]A_{2}[/tex] = 15 x 8
= 120
[tex]A_{2}[/tex] = [tex]\frac{120}{5}[/tex]
= 24
The area of the larger triangle is 24 in².
Six gallons of a salt solution consists of 35% salt. It is the result of mixing a 40% solution with a 30% solution. How many gallons of each of the solutions was used? Let x= the number of gallons of the 40% solution and y= the number of gallons of the 30% solution. The corresponding modeling system is {x+y=60.4x+0.3y=0.35(6). Solve the system by using the method of substitution.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.
Approximately what percentage of the pine trees in this forest are taller than 100 feet?
Answer:
4%
Step-by-step explanation:
PLATO users
4% of the pine trees in this forest are taller than 100 feet.
The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,
p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%
Thus, 4% of the pine trees in this forest are taller than 100 feet.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2
Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation
Answer:
2, 1 and -3
Step-by-step explanation:
Given the quadratic expression
x^2+2x = 3
Write in standard format
x^2+2x-3 = 0
Get the value of a, b and c
The standard form is ax^2+bx+c = 0
ax^2 = x^2
a = 1
bx = 2x
b = 2
c = -3
Substitute into the general formula
x = -b±√b²-4ac/2a
x = -2±√(2)² - 4(1)(-3)/2(1)
The correct values are the values in bold format
Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was
$22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?
8 over 15 as a decimal rounded to the nearest tenth.
Answer:1.9
Step-by-step explanation:
15/8=1.87500
look at pic 10 points
Answer:
120
Step-by-step explanation: 10 x 12 = 120 m. Hope this helps
Help please asap will mark brainliest !
Answer:
The answer for G and K is 103
The answer for K and J is 77
The answer for I and H is 43
Factor this trinomial completely.
15x2 + 11x - 12
A. (x + 4)(15x - 3)
B. (3x + 3)(5x – 4)
C. (x+3)(15x - 4)
O D. (3x + 4)(5x – 3)
Answer:
D
Step-by-step explanation:
3x * 5x = 15x^2
3x * -3 = -9x
4*5x = 20x
4 *-3 = 12
so 15x^2 +(20x -9x) -12 or 15x^2 +11x -12
Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!
My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!
Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game.
Answer:
No
Step-by-step explanation:
You can if you want, but there is a total of 6 on the dice. And there are 3 odds. Each odd you role you gain 10 cents, but each time a student roles a even they also get 10 cents. So you will get paid and in a game of chance and gambling. You won't gain anything if ALL of the students are together and going against you. Its like 1 vs 25 and you would have to pay a lot of students at one time to play this game. So logically no, because you won't gain money. But also you could if you always get odds, but again. That's a 3/6 or 1/2 each time you role to get a odd number.
Hope that helped, or even made sense xD
24.. A toy company makes 40 plastic harmonicas in 30 minutes. At this
rate how long will it take to make 200 harmonicas?
Proportions
Answer:
It will take 2 and a half hours
Step-by-step explanation:
Well 40 can go into 200 5 times so you would do 5 times 30 minutes which would be 150 minutes and then you would divide it by 60 to simplify which would be 2 hours and 30 minutes. So it will take 2 and a half hours to make 200 harmonicas.
200/40 = 5
5 * 30 = 150
150/60 = 2 hours and 30 minutes
Answer:
6.7 minutes
Step-by-step explanation:
From what we know, we will have to divide. The things we are dividing are the 30 minutes it took to make the 40 plastic harmonicas and the total we need of harmonicas, which is 200. By dividing 200 by 30, we get 6.666666666666667. But, we can't have that long answer, so we need to round up. Which is when we get our quotient of 6.7 minutes. If I'm wrong, please, don't be afraid to correct me. And have a good day stranger!
Edit: This answer is wrong. I was corrected and now I know what the answer is. Please do avoid this answer. But have a good day to anyone sees this!
Franklin bought a book with 90 pages. If he
reads 54 of the pages on the first night, what
percent of the book has he read?
A. 60%
B. 30%
C. 55%
D. 75%
I got a question! what is managing liquidity?
Answer:
Liquidity management refers to a set of processes, strategies, and supporting mechanisms/tools that ensure a business or bank is able to access cash when and where it is needed. This cash could be used to pay for goods and services, payroll, debt repayment, or new investment opportunities
Step-by-step explanation:
Help! Will give Brainliest
Answer:
B
..................... ....
The Red Knight can run 12 yards in 2 minutes. How many yards can he run in 55 minutes ?
Answer:
330
Step-by-step explanation:
Because he runs 6 yards in 1 minute so if we multiply 55 x 6 we get 330.
Answer:
330
Step-by-step explain
12/2=6
55x6=330
PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!
Answer:
4,896sq
Step-by-step explanation:
just multiply bro
Answer:
104m²
Step-by-step explanation:
[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]
Find the volume of the cylinder. Use 3.14 for π.
Round your answers to the nearest tenth.
Answer:
V≈565.4
Step-by-step explanation:
V=πr2h=π·32·20≈565.48668
5x^2y + 6x^2y^3 - 3x^3y^2=0
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Pls help ill give brainliest
Please help I’ll mark you as brainliest if correct!
Answer:
A). The ratio of a circle's circumference to its diameter
Step-by-step explanation:
if the area is 48 square meters what is the length of side R in meter
Answer:
12 m
Step-by-step explanation:
the area of a rectangle is length x width
we know the width, so we can proceed like this:
Lenght = A/width
Lenght = 48/4 = 12 m
Does the relation {(5,-2), (5,-8), (4,-6), (7,-1)} represent a function?
Answer:
no, it does not
Step-by-step explanation:
if it was a function, all the x values would've been different, but since 5 is repeated, it is not a function.
Answer: No
Step-by-step explanation:
1. Many of the continuous random variables that occur in real life are approximately normally distributed. How do you think this helps in studying real life variables?
2. Do you realize and understand the advantage of being able to convert values of an arbitrary normally distributed random variable to the corresponding values of the standard normal variable? If yes, list all the possible advantages of being able to do this. If not what do you plan to do to understand why the standard normal random variable is widely used for computations involving normal distributions?
Plss answer me direct type no link
Answer:
Step-by-step explanation:
Kurt is running for student senate. He designed the t-shirt logo for his campaign. The logo is made up of a square with 14 cm sides and four half circles. Use 3.14 for pi to approximate the area of the logo.
Answer:
......
Step-by-step explanation:
Find the area of the figure.
Answer:25
Step-by-step explanation:
cur figure up into two small triangles, one recrtangle and a big triangle
List the following rational numbers in order from least to greatest -1/2, 2.5, -8 1/4,
1 1/2,-1.5,3
Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.
Answer:
H = (234 - 50)/6.50
H = 29 hours
Step-by-step explanation:
H = hours to work
H = (234 - 50)/6.50
H = 28.31 hours
What’s the correct answer for this?
Answer:
the answer is the top choice
The table shows the results of a class survey about pets. Suppose 53 students were surveyed. About how many students have one pet? Justify your answer. (I really need an answer now! Please answer as soon as you can )
2). The scale factor of two regular octagons is 52. Find the ratio of their
perimeters and the ratio of their areas, *
Answer:
Step-by-step explanationBy definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3