The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?
Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
what is the estimate the product of 324 × 26 pls help me I forgot how to estimate
Answer:
(Not only one answer)
Step-by-step explanation:
Estimate means to round in a way.
I would do this by making the equation to ...
320 x 20
or
320 x 25
or
320 x 30
or
325 x 25
etc.
its 9600 because the rounded up of 324 is 320 and the rounded up of 26 is 30 so 320×30 is 9600
What number is 45% less than 80?
Answer:
44
Step-by-step explanation:
Find 10% of 80 = 8
Multiply by 5.5 because 10-4.5
get = 44
Answer:
45% less than, or 45% of 80 would be 36.
Step-by-step explanation:
pls mark brainliest
Misty wants to save money to purchase a new bicycle that costs $279. She
opens a savings account and deposits $7 per week. How many weeks will it
take for her to save enough money to buy the bicycle?
Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!
Step-by-step explanation:
Answer:
40 weeks
Step-by-step explanation:
1) A golf store pays its wholesaler $40 for a certain club, and then sells it to
a golfer for $75. What is the markup rate?
Answer:
69
Step-by-step explanation:
+#:2:$;$;$:*&#::jsgsvszgsvvsvs
Answer:
35 dollars
Step-by-step explanation:
I dont know if you need a percent or not
Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.
Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a
trainer. For how many sessions is the cost of the two plans the same?
Answer: For 10 sessions, the cost of the two plans the same.
Step-by-step explanation:
Let x= Number of sessions.
Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.
Total charge for x sessions = 50+30x
Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a trainer.
Total charge for x sessions = 250+10x
When both plan charges the same, then
[tex]50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10[/tex]
i.e. For 10 sessions, the cost of the two plans the same.
does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.
Answer:
Infinite number of solutions
Step-by-step explanation:
Use distributive property to eliminate the parenthesis on the left:
8 x + 12 = 16 x + 12 - 8 x
combine like terms on the right:
8x+ 12 = 8 x + 12
subtract 12 from both sides
8 x = 8 x (notice both sides are identical)
subtract 8 x from both sides
0 = 0
This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")
If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?
Answer:
17600
Step-by-step explanation:
calculator
Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51
The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:
3.5% / 12 months = 3.5/12%
6 years x 12 = 72 months
The amount after 6 years is:
= Amount x (1 + rate) ^ number of periods
= 5,000 x (1 + 3.5/12%)⁷²
= $6,166.51
In conclusion, the amount in the account after 6 years is $6,166.51.
Find out more at https://brainly.com/question/20883478.
The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)
Group of answer choices
No it cannot, because −4.5 lies to the left of −3.5.
No it cannot, because −4.5 lies to the right of −3.5.
Yes it can, because −4.5 lies to the right of −3.5.
Yes it can, because −4.5 lies to the left of −3.5.
Answer:
Problem says that the number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Graph is not given so I have created graph as per given description.
Now we have to select correct choice.
From graph we can easily see that third statement
"Yes it can, because −3.5 lies to the left of −1.5. " is correct.
Step-by-step explanation:
The answer is D
Help me please 10-13 please please helpp
Step-by-step explanation:
3 is the answer but i dont Know what is the real answer
Answer:
Look on internet, how to calculate definite properties of graphs. Hope this helps...
Step-by-step explanation:
Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
–2
–3
2
3
4
Answer:
Roots are -2, 3, and 4
Step-by-step explanation:
Let's use the rational roots test.
Starting with the constant term (24), the roots are 1, 2, 3, 4, 6, 8, 12, and 24 (both positive and negative).
Starting with 2.
8 - 20 - 4 + 24 = 8 (so 2 is not a root).
Let's try 3.
27 - 45 - 6 + 24 = 0 (so 3 is a root). (x-3) is a factor.
Now we can divide x3-5x2-2x+24 by x-3 to get a polynomial.
x3-5x2-2x+24 / x-3
x2 - 2x - 8 = (x-4)(x+2)
Answer:
A, D, E
Step-by-step explanation:
For edge
2. An item used to sell for seventy-five cents a pound, and you see that it's been marked up to
eighty-one cents a pound. What is the percent increase?
Answer:
4%
Step-by-step explanation:
Answer:
It is not 4%. The answer is 8%
Step-by-step explanation:
First subtract .75 from .81 and you get the difference between the two prices .06 cents. Now use the formula % = (amount of increase)/(original amount) * 100.
Substitute and you get X = .06/.75 * 100
X = 6/.75 (.06 * 100 = 6)
X = 8
8%
Determine if each line is proportional non-proportional or non-liner
Step-by-step explanation:
non-proportiona
which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
Consider the graph below of a piecewise defined function.
Which of the following statements are true? Select all that apply.
A. The graph is increasing when x<-2.
B. The graph has a relative minimum at (0, 0).
C. The graph has two relative maximums.
D. The graph is decreasing when -2
E. The domain is -6
F. The range is x≤4.
Answer:
D is the answer
Step-by-step explanation:
Determine each missing number.
a) 25% of 84 = ■
b) 24% of 200 = ■
c) 10% of ■ = 5
Fil in the squares please!!
Step-by-step explanation:
a. 25% of 84 = ?
To solve this problem;
[tex]\frac{25}{100}[/tex] x 84
25 goes in 100, 4 times
= [tex]\frac{1}{4}[/tex] x 84
= 21
b. [tex]\frac{24}{100}[/tex] x 200 = ?
100 goes in 200 , 2 times
24 x 2 = 48
c. [tex]\frac{10}{100}[/tex] of t = 5
[tex]\frac{10}{100}[/tex] x t = 5
[tex]\frac{t}{10}[/tex] = 5
t = 50
A number more than 2.
Answer:
2n+2
Let the "number" be represented algebraically as
n.2 more than twice a number ⇔2 more than 2n 2 more than X2n
⇔2+2n or 2n+2
Step-by-step explanation:
If a bike is going at 26 centimeters per second how many meters per minute is she traveling?
Answer:
15.6 meters in a minute
Step-by-step explanation:
Here's why:
1 centimeter= 0.01 meter
So, if you have 26 cm, that equals 0.26 meters.
Now, we know that there are 60 seconds in a minute.
So, we have to do 0.26 times 60 which equals 15.6 meters.
I hope this helps you! :)
Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
Answer:
See below.
Step-by-step explanation:
Total weekly salary:
regular weekly salary + amount from working over 40 hours
In one full week of 40 hours of work, you earn a regular salary of $340.
For each hour you work over 40 hours, you earn $12.50 per hour.
Let x = number of hours you work over 40 hours.
The amount you make from these extra hours is 12.5x
Your total weekly salary is
340 + 12.5x
You want your total weekly salary to be more than $490.
340 + 12.5x > 490
Answer:
answer
Step-by-step explanation:
(DO NOT GIVE ME AN WARNING FOR THIS IT IS PART OF MY SCHOOL PROJECT)
Help everyone what is JoJo siwa net worth but than multiple it with 79/20
Answer:
12 million
Step-by-step explanation:
Answer:
47400000
Step-by-step explanation:
12 million * 79/20 = 47400000
pls help pls ill mark u brainliest
Answer: 3 1/3 - 3/5 + 1/2+3.2
Step-by-step explanation:
Which point is a reflection of Z(5 1/2,3) across the y axis
Answer: C?
Step-by-step explanation:
Because reflecting means like think of a mirror it’s reflecting you so the opposite side would be the bottom right quadrant please tell me if I’m right?
Solve the inequality. |2x-6|+7 <15
Answer:
the answer to your questionis (-1,7)
I hope this helps
A music store owner noted that CD sales had dropped 12% from one quarter to the next. If the owner sold 460 units in the first quarter, how many did she sell in the next quarter?
Answer:
404.8
Step-by-step explanation:
100%=460
12%=x
x=(12*460)/100
x=55.2
Answer=460-x
Help plzzz will give brainliest
Answer:
1/3 and false at least i think wait for other answer to make sure it is correct
Step-by-step explanation:
(2-4i)(-6 + 4i) complex
Answer:
4 +32i
Step-by-step explanation:
Help me will give brainliest
For the Jet one the answer should be 450 but its not on there
Write an equation to match this graph
Answer:
its y=x+7
Step-by-step explanation:
Compare the degree of a polynomial and its depressed polynomial.
Answer:
The degree of a polynomial is one more than the degree of its depressed polynomial.
Step-by-step explanation:
Please help me with this please
Answer:
3.50 one thats it
if you need anyother help im here for you um yea...im not really in colage i just found this place at imn class lol im in 6th grade and am 11 years old lol thats my live oh and my dad is abusive lol yea...
Step-by-step explanation:
