Answers
Answer:
Base = 10 cm
Height = 60 cm
Step-by-step explanation:
The formula for the area of a triangle is [tex]area=\frac{1}{2} *b*h[/tex] , where b is the length of the base of the triangle, and h is the length of the height of the triangle.
We know the area is 300, and since the height of the triangle is 6 times its base, we know that [tex]h=6*b[/tex]. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:
[tex]300=\frac{1}{2} *b*(6*b)[/tex]
[tex]3b^2=300[/tex]
[tex]b=\sqrt{100} =10[/tex]
The base of the triangle is 10 centimeters.
Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:
[tex]300=\frac{1}{2} *10*h[/tex]
[tex]5h=300[/tex]
[tex]h=60[/tex]
The height of the triangle is 60 centimeters.
Related Questions
Sherry thinks 7, 7 and 12 are side lengths of a right triangle. Do you agree or disagree? Justify your reasoning. PLEASE NOW!!!! PLEASE!!!!!!
Answers
Answer:
disagree
Step-by-step explanation:
If the triangle is right, then the square of the longest side must equal the sum of the squares on the other 2 sides.
longest side = 12 ⇒ 12² = 144
7² + 7² = 49 + 49 = 98
Since 144 ≠ 98 then triangle is not right
Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
edge 14 ft; height 12 ft
Answers
Answer:
56
Step-by-step explanation:
V=lwh/3
im guessing its a square pyramid?
14(12)/3
=56
Solve for x.10x+48=x2+24
Answers
Answer:
x= -2
Step-by-step explanation:
Alinear function is a function in which the dependent variable changes at a constant rate relative to the independent variable.
Based on this assumption, determine whether each relationship below can be modeled by a linear function. Select Yes or No for each situation,
Yes No
The total number of tires, T. on c cars
The cost. C in dollars, of p pounds of tangerines
The temperature, F, after m minutes of a ple taken out of the oven
The value, V. in dollars, of a bank account earning compound interest after years,
Answers
Answer:
Yes
Yes
No
No
Step-by-step explanation:
Sorry to keep y’all waiting I had to do the exam myself.
Where is Point A on the number line
Answers
Answer:
2 1/2
Step-by-step explanation:
it shows 2 first and then goes a half ahead of it
The population of a city is growing at an uninhibited rate of 1.6% per year. The city's initial population was 125,000. How long will it take the population of that city to reach 175,000? Round to the nearest tenth.
a. 56.5 years
b. 21.0 years
c. 9.1 years
d. 37.8 years
Answers
Answer:
B
Step-by-step explanation:
First we find how much of 125000 is increasing. Once we do that, it is basically a slope intercept equation.
We know that 1.6 percent of 125000 is 2000.
We know have y=2000x+125000
There are two ways to solve this, either plug in the given values of a, b, c, and d into the equation and see if it equal 175000, or we we set the equation equal to 175000
If we do the second easiet option, we have
2000x+125000=175000 Use inverse operations
2000x=50000
x=25, or roughly option b.
If we plug in b, we get y=2000(21)+125000 or 167000
21.0 years will it take the population of that city to reach 175,000.
What is population growth rate?Population growth rate is the change in the number of individuals over a specific period of time. Population growth rate can be interpreted over any time period.
Given
Population of a city is growing at an uninhibited rate of 1.6% per year.
The city's initial population was 125,000.
Based on the given conditions
[tex]125000.(1+0.016)^{x} =175000[/tex]
⇒ [tex]125000.(1.016)^{x} =175000[/tex]
⇒ [tex](1.016)^{x} =\frac{175000}{125000}[/tex]
⇒ [tex](1.016)^{x} =\frac{7}{5}[/tex]
⇒ [tex]x=log_{1.016} \frac{7}{5}[/tex]
⇒ [tex]x=log_{\frac{127}{125} } \frac{7}{5}[/tex]
⇒ x = 21.0
21.0 years will it take the population of that city to reach 175,000.
Find out more information about population growth rate here
https://brainly.com/question/23659639
#SPJ3
Which of the ratios below is equivalent to 5:2? Select all that apply.
A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12
Answers
Answer:
D
Step-by-step explanation:
This is because they are both mulitplied by two so they are still equivalent
13x^8 Find the base
Answers
Answer:
13 is the base of 13x^8
Step-by-step explanation:
2(10) + 2(x – 4) please simplify the expression
options
1. 2x + 16
2. x + 12
3. 2x + 12
4. x + 16
Answers
Answer:
3
Step-by-step explanation:
Find the y-intercept of the following equation. Simplify your answer.
y = x + 4/7
Answers
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
The y -intercept of the given line is [tex]\frac{4}{7}[/tex];
y = x + [tex]\frac{4}{7}[/tex]
The equation of any line is y = mx + c;
y and x are the coordinates
m is the slope
c is the y-intercept
y = x + [tex]\frac{4}{7}[/tex]
So [tex]\frac{4}{7}[/tex] is the y-intercept
Please help thanks in advance!!!!!
Answers
Answer:
20 vegetable plants and 30 flower plants
Step-by-step explanation:
Basil took part in a 100m race but he only ran 75m. What is the percentage of distance?
Answers
Answer:
75 %
Step-by-step explanation:
100 = 100 so,
100% - 75 = 25%
Answer:
75/100 = 3/4
Step-by-step explanation:
75/100=0.75 0.75 is basically 3 quarters so 75 cents over a dollar
Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?
Answers
Answer:
= 0.3 min/mile
Step-by-step explanation:
34.5/3 = 11.5
28/2.5 = 11.2
11.5-11.2= 0.3
= 0.3 min/mile
the answer to the image included
Answers
Answer:
D
Step-by-step explanation:
Answer:19.3
Step-by-step explanation:add all angles of the shape that should give you 733
The minus 733 from 1080 because interior angles in a octagon add to 1080 this should give you 347 the add the the x together giving you 18x then divide 347 by 18 that give 19.27 rounded up to 19.3
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Answers
the answer is c:)
have a great rest of your night:D
Answer:
c
Step-by-step explanation:
Just divide em ;)
And you'll see the ones that say 0 are not the answer have a nice day bye.
estimate 22,752 divided by 16
Answers
22752
16
=
1422
1422 = 14220 to the nearest tenth
1422 = 1422 to the nearest hundredth
1422 = 1422 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
22752 divide by half plus 20
Homework answers: (22752/2) + 20 = 11396
22752 divide by half plus 40
Homework answers: (22752/2) + 40 = 11416
22752/16 divided by 2
Answer: (22752/16) ÷ 2 = 711
Answer:
1420
Step-by-step explanation:
it's simple math you just divide them and then round it to the nearest ten
Name a possible value for n that is a solution to 15 < n, but not a solution to n < 25.
PLEASE EXPLAIN WHY ITS THAT ANSWER
Answers
Answer:
26
Step-by-step explanation:
The number has to be greater than 15 but not less than 25 so any number that is at least 25 works.
Answer:
It would just be at least 26. Because, it's saying that n has to be greater than 15 and greater than 25. so, that the n < 25 is wrong. So i would put 26 because 15 < (is less than) 26, and 26 <(less than) 25 is wrong which is required to be an answer. So you could do 26 through infinity.
A) -6
B) -9
C) -12
D) -24
Answers
Answer:
C. -12
Step-by-step explanation:
The answer is C. -12.
You had to multiply both sides by 3/2.
The temperature was -6°F. It rose so that the temperature was 0°F. What integers represents the change in temperature.
Answers
Answer:
+6
Step-by-step explanation:
Just do [tex]0 -(-6)[/tex].
An object is moving at a speed of 6 feet per day express this speed in miles per year
Answers
.07 miles
explanation
365 days in a year
and 5280 feets in mile
subtract 365 from 5280 which equals 4915 and divide it by 5280 since u want the percent 4915/5280 = 0.0930871212121 and u get .07 after u subtract that number by 100
2
—-X = 27, what is X?
3
Answers
Answer:
x=40.5
Step-by-step explanation:
Answer:
x=81/2
Step-by-step explanation:
Someone please help
Answers
Answer: 3.5 or 0.2
Step-by-step explanation:
What is -4X+4+5x-7 simplified
Answers
Answer:
-4x+4+5x-7= x-3
Step-by-step explanation:
Answer:
What is -4X+4+5x-7 simplified?
Step-by-step explanation:
1) subtract the numbers*
4+4+5−7
4−3+5
2)
Rearrange the terms
4 − 3 + 5
4 + 5 − 3
Solution: 4 + 5 − 3
How many grains of sand are there in 6300kg of sand? Give your answer in standard from
Answers
Answer:
5 g
Step-by-step explanation:
Answer:
16,191,000,000
Step-by-step explanation:
1 kg= 2.57 millions grains of sand
2.57 million*6300= 16,191,000,000
I need held asp pls help me
Answers
Answer:
18/23=18/23
Step-by-step explanation:
This problem is already in simplest form.
Hope this helped!!!!
Hoa sells vacuum cleaners. She earns a $500 weekly salary in addition to $40 for each vacuum cleaner sold. Write a linear equation to represent her weekly pay based on the number of vacuum cleaners she sells.
Answers
Answer:
12 to 13
Step-by-step explanation:
Miguel has $49.13 in his bank account. He paid two fees of $32.50 each, and then he made two depositis of $74.25 each. What is the total balance in dollars Miguel has in his account now?
Answers
Answer:
$132.63
Step-by-step explanation:
$49.13 - ($32.50 × 2)
$49.13 - $65 = $-15.87
$-15.87 + ($74.25 × 2)
$-15.87 + $148.50
=$132.63
What are the solutions of the equation (2x + +3)2 +
+ 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to
solve.
-40V5
O X=
-7± √5
OX=
O x= -7 and x = -2
O x= -1 and x = 4
Answers
Answer:
b
Step-by-step explanation:
By using the substitution method the solution to the given equation is
x = ±7/2 + √5/2
System of equationGiven the equation expressed as:
(2x +3)^2 + 8(2x + 3) + 11 = 0
Expand the equation
4x^2 + 12x + 9 + 16x + 24 + 11 = 0
4x^2 + 28x + 44 = 0
x^2 + 7x + 11 = 0
Factorize the result to have:
On factorizing the values of x are
x = ±7/2 + √5/2
Learn more on quadratic equation here: https://brainly.com/question/25841119
Find the difference of -3/5 - (-5/9)
20 points y'all
thanks
-Throckmorton
Answers
Whole numbers from 1 to 10 are placed in a bag. Olga picks two cards at once at random from the bag. What is the
probability that both cards are even?
In a fraction*
Answers
Answer:
5/1 or 1/2
Step-by-step explanation:
got it right on the test. sorry I'm a little late. Have a great day/night