Answer:
The height of the prism is 2m
Step-by-step explanation:
Given;
The volume of pentagonal prism, V = 4.8 m^3
Area of the prism, A = 2.4 m^2
To determine the height of the prism, we consider the following;
Volume of any prism = Area of the prism x height of the prism
Height of the prism = volume of the prism / Area of the prism
Height of the prism = 4.8 / 2.4
Height of the prism = 2 m
Therefore, the height of the prism is 2m
Factor the following equation:
x^2 -x-90
Answer:
(x - 10)(x + 9)
Step-by-step explanation:
[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]
What’s the value of the expression 16 -3/4
Answer:
15 1/4
Step-by-step explanation:
16-3/4
64/4-3/4
61/4
15 1/4
Calculate the surface area of the triangular prism.
Answer:
120 square centimeters
Step-by-step explanation:
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 4 to 7. The box extends from 7 to 14 and is divided into 2 parts by a vertical line segment at 10. The right whisker extends from 14 to 18. All values estimated. About what percent of Brad's fantasy football leagues have fewer than 7 teams? Choose 1 answer: (Choice A) 0% (Choice B) 25% (Choice C) 50% (Choice D) 75% (Choice E) 100%
The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.
The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.
20 POINTS FOR 2 QUESTION PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
8.a 9.acb
Step-by-step explanation:
good luck
What is 1+1= Lol :) JUST ANSWER PLZZ
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
A =70 ft^2
Step-by-step explanation:
The area of the triangle is equal to
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20) *7
A =70 ft^2
Please help me now plz I will mark you brainliest
Answer:
On the circle
Step-by-step explanation:
Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:
[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!
what is the circumference of a circle with the radius of 7 units
Answer:
43.98
Step-by-step explanation:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after a days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet
Correct question:
Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.
Answer: 2 hours
Step-by-step explanation:
Everyday Kim practices volleyball and clarinet = v/ball + clarinet
Everyday volleyball practice = 2.5hours
That is clarinet(hours) + 2.5 hours of volleyball
After 8 day, total practice hours of both volleyball and clarinet equals 36 hours
The above information can be represented mathematically as thus:
Let h = hours per day of clarinet
8(h + 2.5) = 36
8h + 20 = 36
8h = 36 - 20
8h = 16
h = 16/8
h = 2
When a grizzley bear hibernates it normal heart rate drops 10 beats per mintue which is 20% of it normal vaule. What is the grizzley bear normal heart rate when not hibernation
Answer:
the normal heart rate of the grizzley bear = 12.5 beats per minute
Step-by-step explanation:
let the normal heart rate = x
hibernating heart rate = 20% of normal value = x - 10
20% of x = x - 10
20/100 of x = x - 10
0.2 × x = x - 10
0.2x = x - 10
x - 0.2x = 10
0.8x = 10
x = 10 ÷ 0.8 = 12.5 beats per minute
Which dimensions cannot create a triangle? a three sides measuring 6 cm, 8 cm, and 10 cm b three angles measuring 40 degrees, 70 degrees, and 65 degrees c three angles measuring 10 degrees, 25 degrees, and 145 degrees d three sides measuring 9 m, 15 m, and 9 m
Answer:
A,C,D are triangles, B is not.
Step-by-step explanation:
Let 3 sides of a triangle be a,b,c.
A triangle have the sum of 3 angles = 180 degree
and
a-b<c<a+b (similar for a and b)
a. three sides measuring 6 cm, 8 cm, and 10 cm
Satisfied the a-b<c<a+b property -> triangle
b. three angles measuring 40 degrees, 70 degrees, and 65 degrees
Total of 3 angles = 40+70+65 = 175 > 180
-> not triangle
c. three angles measuring 10 degrees, 25 degrees, and 145 degrees
Total of 3 angles = 10+25+145 = 180
-> triangle
d. three sides measuring 9 m, 15 m, and 9 m
Satisfied the a-b<c<a+b property -> triangle
Answer:
C
All triangle must equal 180, 40 + 70 + 65 = 175
can someone help me with algebra 2 with an explanation?
Answer: This took me a long time to type, hope you read it and find it helpful and easy to understand...
1. [tex]x=1[/tex]
2. [tex]x=\frac{3}{2}[/tex]
3. [tex]x=1[/tex]
4. [tex]x=\frac{6}{5}[/tex]
Step-by-step explanation:
1.
[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]
To make it easier to add / subtract fractions, we are looking for common denominators. I can see that if I move the fraction on the left with a denominator 3x to the right, I'll be able to add two equations with like denominator.
Let's add [tex]\frac{x-2}{3x}[/tex]
[tex]\frac{1}{x}=\frac{4}{3x}+\frac{x-2}{3x}[/tex]
Add the numerators and keep the same denominator.
[tex]\frac{1}{x}=\frac{4+x-2}{3x}[/tex]
[tex]\frac{1}{x}=\frac{2+x}{3x}[/tex]
To get rid of the denominator x on the left side, we can multiply by x.
[tex](x)\frac{1}{x}=\frac{2+x}{3x}(x)[/tex]
[tex]1=\frac{2+x}{3}[/tex]
Now multiply by 3.
[tex](3)1=\frac{2+x}{3}(3)[/tex]
[tex]3=2+x[/tex]
Subtract 2.
[tex]3-2=x\\1=x[/tex]
The value of x is 1.
Proof.
[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]
[tex]\frac{1}{1}-\frac{1-2}{3(1)}=\frac{4}{3(1)}[/tex]
[tex]1-\frac{-1}{3}=\frac{4}{3}[/tex]
[tex]1+\frac{1}{3}=\frac{4}{3}[/tex]
[tex]\frac{1*3+1}{3} =\frac{4}{3}\\\frac{4}{3}=\frac{4}{3}[/tex]
I can't show the proof to the following problems because I have a 5000 character limit.
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2.
[tex]\frac{5x-5}{x^2-4x} -\frac{5}{x^2-4x}=\frac{1}{x}[/tex]
Again, we have like denominators, therefore, we can simply subtract the numerators and keep the same denominator.
[tex]\frac{5x-5-5}{x^2-4x}=\frac{1}{x}[/tex]
[tex]\frac{5x-10}{x^2-4x}=\frac{1}{x}[/tex]
Again, we can multiply by x to get rid of the x in the denominator.
[tex](x)\frac{5x-10}{x^2-4x}=\frac{1}{x}(x)[/tex]
Do not distribute the x in the numerator yet because we're gonna eliminate it later.
[tex]\frac{(x)(5x-10)}{x^2-4x}=1[/tex]
Factor the denominator.
[tex]\frac{(x)(5x-10)}{(x)(x-4)}=1[/tex]
Simplify x's.
[tex]\frac{5x-10}{x-4} =1[/tex]
Multiply by x-4 to get rid of the denominator.
[tex](x-4)\frac{5x-10}{x-4} =1(x-4)[/tex]
[tex]5x-10=x-4[/tex]
Add 10
[tex]5x=x-4+10[/tex]
Subtract x
[tex]5x-x=-4+10[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]\frac{4x}{4}=\frac{6}{4}[/tex]
[tex]x=\frac{6}{4}[/tex]
Simplify by 2.
6/2 = 3
4/2 = 2
[tex]x=\frac{3}{2}[/tex]
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3.
[tex]\frac{x^2-7x+10}{x}+\frac{1}{x}=x+4[/tex]
Same denominator, add numerators.
[tex]\frac{x^2-7x+10+1}{x}=x+4[/tex]
[tex]\frac{x^2-7x+11}{x}=x+4[/tex]
Multiply by x to get rid of the x.
[tex](x)\frac{x^2-7x+11}{x}=(x+4)(x)[/tex]
[tex]x^2-7x+11=x^2+4x[/tex]
Subtract [tex]-x^2-4x[/tex]
[tex]x^2-7x+11-x^2-4x=0[/tex]
Combine like terms;
[tex]-11x+11=0[/tex]
Subtract 11.
[tex]-11x=-11[/tex]
Divide by -11
[tex]x=\frac{-11}{-11} \\x=1[/tex]
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4.
[tex]\frac{x^2+7x+10}{5x-30}+\frac{x}{x-6}=\frac{x^2-13x+40}{5x-30}[/tex]
It's easier if you move the operation with denominator x+6 to the right side with negative sign and bring the operation on the right side to the left side with negative sign as well.
[tex]\frac{x^2+7x+10}{5x-30}-\frac{x^2-13x+40}{5x-30}=-\frac{x}{x-6}[/tex]
Now, since we have the same denominators, we can simply subtract numerators.
[tex]\frac{x^2+7x+10-(x^2-13x+40)}{5x-30} =-\frac{x}{x-6}[/tex]
Distribute the negative sign.
[tex]\frac{x^2+7x+10-x^2+13x-40}{5x-30} =-\frac{x}{x-6}[/tex]
Combine like terms;
[tex]\frac{20x-30}{5x-30}=-\frac{x}{x-6}[/tex]
Factor.
I can see that I can factor a 5 on both numerator and numerator. This will allow me to simplify them.
[tex]\frac{(5)(4x-6)}{(5)(x-6)} =-\frac{x}{x-6}[/tex]
Simplify.
[tex]\frac{4x-6}{x-6}=-\frac{x}{x-6}[/tex]
Multiply by x-6
[tex](x-6)\frac{4x-6}{x-6}=-\frac{x}{x-6}(x-6)[/tex]
This will simplify the denominators.
[tex]4x-6=-x[/tex]
Add x and 6.
[tex]4x+x=6\\[/tex]
Combine like terms;
[tex]5x=6[/tex]
Divide by 5.
[tex]x=\frac{6}{5}[/tex]
The base of a rectangular prism has an area of 252525 square meters. The height of the rectangular prism is 444 meters. What is the volume, in cubic meters, of this rectangular prism?
Answer:Height:
15.8 meters
Explanation: For a rectangular prism: XXX Volume = height × width × depth and XXX Area (of base) = width × depth ⇒ height = Volume Area = 306.52
19.4 = 15.
Answer: 100 CUBIC METERS
Step-by-step explanation:
Someone help me pleaseeee
Answer:
you have to add all the angles including 'x' which is equals to 180°.
The process is
99+49+x=180
148+x=180
x=180-148
x=32.
Handy Dandy Grocery is having a sale this week. If you buy a 5−pound bag of apples for the regular price, you can get another bag for $1.59. If you buy a 5−pound bag of oranges for the regular price, you can get another bag for $2.59. Handy Dandy Grocery Regular price 5−pound bag of apples 2.99 5−pound bag of oranges 3.99 Part 1 out of 2 Enter an addition equation to find the discount for apples. Use a for apples. Which fruit has a greater discount?
Answer:
apples have greater discount
Step-by-step explanation:
This is a proportional relation given by;
For apples, it's;
1.59/2.99 = x/100
Where x is the amount the second bag of apples cost in relation to the first, so:
x = 1.59 * 100/2.99
x = 53.18
So,let's now find the discount of the second bag of apples from;
Discount = 100 - 49.83 = 50.17% discount
Similarly, for oranges;
2.59/3.99 = x/100
x = 2.59 * 100/3.99
x = 64.91
So,let's now find the discount of the second bag of oranges from;
Discount = 100 - 64.91 = 35.09%
Since apples have discount of 50.17% and oranges have discount of 35.09%, thus apples have greater discount
Domain represents which of the following?
A. slope
B. x values
C. y values
D. maximum
Answer:
b
Step-by-step explanation:
keisha estimates 259 + 279 by rounding each number to the nearest 10. what is keisha's estimate of the sum?
Answer:
540
Step-by-step explanation:
259 + 279 = 538
Rounded to nearest 10
= 540
Julie has four times as many pairs of shoes as her brother. Together they have 15 pairs of shoes. How many pairs of shoes do they each have?
Answer:
60 pairs of shoes
Step-by-step explanation:
To find the answer, multiply 4x15. The words four times as many mean to do the operation of multiplication. 4x15= 60 So finally, each have 60 pairs of shoes.
i hope this helped:)
Answer:
7.5
Step-by-step:
Julie: ?
Her brother: ?
Total number: 15
So: 15 divided to julie and her brother-
There for 15 divide by 2 is 7.5
7.5+7.5=15
When there is a 20.1 mihr wind, an airplane can fly 630 mi with the wind in the same time that it can fly 521 mi against the wind. Find the speed of the plane when there is no wind.
Answer:
the speed of the plane when there is no wind is 212.25 mi/hr
Step-by-step explanation:
Let v represent the speed of the plane without wind.
Wind speed = 20.1 mi/hr
The resultant speed with wind is;
v + 20.1 mi/hr
The resultant speed against wind is;
v - 20.1 mi/hr
Let t represent the time for the travel.
With wind;
(v+20.1)t = 630 ......1
Against wind;
(v-20.1)t = 521 ......2
Divide equation 1 by 2
(v+20.1)/(v-20.1) = 630/521
Cross multiply;
521(v+20.1) = 630(v-20.1)
Collecting like terms;
v(630-521) = 20.1(630+521)
v = 20.1(1151)/109
v = 212.25 mi/hr
the speed of the plane when there is no wind is 212.25 mi/hr
Find the coordinates of point Bon AC such that AB is 1/3 of AC.
Answer:
(3,3)
Step-by-step explanation:
8--7=15
15/3 = 5
8-5=3
ordered pair at x=3 is (3,3)
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
how many solutions to (x-3)(x-3) = 0
Answer: One solution
namely x=3. We have a product that's zero so the solutions come from each factor being zero; here the factors are the same so we only get one solution.
Answer:
Step-by-step explanation:I hope it's only one...
Math
Which quantity is proportional to
18/6?
Check all that are true.
Answer: There isnt enough information to asnwer
Step-by-step explanation:
Answer:
36⁄12
Step-by-step explanation:
What are the answers on the sheet to the math paper "What did the teenage yardstick say to its parents? "
Answer:
I want to stand on my own three feet
Step-by-step explanation:
11-n÷3 for n=6 Please solve
Answer: 9
11-6 (over fraction) 3
11-2 = 9
What line represents the relationship
between cand d shown in the table?
how do you write a ratio?
Answer:
number : number
Step-by-step explanation:
for example, 1:3
this means 1 to 3
so for every 1 banana there are 3 apples
what is the value of x in the equation 3-2x=-1.5
Answer:
3-2x=-1.5
add -3 on both sides
-3+3-2x=-1.5+3
-2x=1.5
x=1.5/-2
Answer:
x= 9/4
Step-by-step explanation:
3 - 2x = -1.5
-2x = -4.5
x = 4.5/2
Simplified x = 9/4
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A.Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.
The exponential function that models this problem must be like
[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.
Let's use the points (10, 7500)
[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]
Solving for [tex]r[/tex], we have
[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]
Using logarithms, we have
[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]
Replacing all values in the model, we have
[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]
Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
A. y = 9,958(0.972)x
Step-by-step explanation:
