Answer:
x = -1/2
Step-by-step explanation:
the areas of two similar triangles are 42cm and 262.5cm. if the altitude of the smaller triangle is 7cm. what is the length of the base of the larger triangle?
Answer:
75 cm
Step-by-step explanation:
It is given that the triangles are similar. It means that the ratio of their areas are equal to the ratio of their bases and ratio of their altitudes.
Let [tex]A_1[/tex] be the area of 1st triangle.
Let [tex]A_2[/tex] be the area of 2nd triangle.
Let [tex]h_1[/tex] be the altitude of 1st triangle.
Let [tex]h_2[/tex] be the altitude of 2nd triangle.
Let [tex]b_1[/tex] be the base of 1st triangle.
Let [tex]b_2[/tex] be the base of 2nd triangle.
Then [tex]A_1: A_2 = h_1 : h_2 = b_1 : b_2 ...... (1)[/tex]
[tex]A_1 = 42 cm^{2} \\A_2 = 262.5 cm^{2}\\h_1 = 7 cm\\b_2 = ?[/tex]
We know that area of a triangle is:
[tex]A = \dfrac{1}{2} \times b \times h[/tex]
Area of smaller triangle:
[tex]\frac{1}{2} \times b_1 \times 7 = 42\\\Rightarrow b_1 = 12 cm[/tex]
Now, using part of equation (1):
[tex]A_1: A_2 = b_1 : b_2 \\\Rightarrow \dfrac{42}{262.5} = \dfrac{12}{b_2}\\\Rightarrow b_2 = 75 cm[/tex]
Hence, base of larger triangle = 75 cm
Select The decimal that is equivalent to 7/8
Answer:
0.875
Step-by-step explanation:
look at the fraction as a division problem
8÷7
HELP!!! Cumulative Exam!! Which is the simplified form of m Superscript negative 8 p Superscript 0? StartFraction 1 Over m Superscript 8 Baseline p EndFraction StartFraction 1 Over m Superscript 8 EndFraction StartFraction p over m Superscript 8 EndFraction m Superscript 8
Answer:
(B)[tex]\dfrac{1}{m^8}[/tex]
StartFraction 1 Over m Superscript 8 EndFraction
Step-by-step explanation:
We want to find the simplified form of: [tex]m^{-8}p^0[/tex]
[tex]m^{-8}p^0=m^{-8}$ X p^0\\p^0=1\\m^{-8}=\frac{1}{m^8} \\$Therefore:\\m^{-8}$ X p^0=\dfrac{1}{m^8} X 1\\=\dfrac{1}{m^8}[/tex]
The correct option is B.
Answer:
I am 80% sure its 1 if not then its 1/p
Step-by-step explanation:
Please can people help??!!
Photo below
i think this is the method for solving it
5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.
Answer:
List the multiples
1/4,2/4,3/4,4/4
1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8
1/4=2/8
2/4=4/8
4/4=8/8
Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.
Step-by-step explanation:
What is the area of rectangle with side lengths of 5/12 foot and 2/3 foot?
Answer:
The answer is 5/18
Step-by-step explanation:
The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet and this can be determined by using the formula of the area of a rectangle.
Given :
Lengths of 5/12 foot and 2/3 foot.
The area of the rectangle is given by the formula:
A = W [tex]\times[/tex] L
where A represents the area of the rectangle, W represents the width of the rectangle, and L is the length of the rectangle.
So, the area of a rectangle with side lengths of 5/12 foot and 2/3 foot is given by:
[tex]\rm A = \dfrac{5}{12}\times \dfrac{2}{3}[/tex]
Further, simplify the above expression
[tex]\rm Area = \dfrac{10}{36}[/tex]
[tex]\rm Area = \dfrac{5}{18}[/tex]
The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet.
For more information, refer to the link given below:
https://brainly.com/question/11952845
Solve the system of equations.
−5x+2y=9
y=7x
Answer:
x=1 y=7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation into the first
-5x +2(7x) = 9
Distribute
-5x +14x = 9
Combine like terms
9x=9
Divide by 9
9x/9 =9/9
x= 1
Now find y
y = 7(1)
y = 7
Answer:
[tex]x=1\\y=7[/tex]
Step-by-step explanation:
[tex]-5x+2y=9\\y=7x[/tex]
Replace y in the first equation.
[tex]-5x+2(7x)=9[/tex]
Distribute the 2 and combine like terms;
[tex]-5x+14x=9\\9x=9[/tex]
Divide by 9
[tex]x=\frac{9}{9}\\ x=1[/tex]
-----------------------------------------------
After having found x, you can replace it in any of the equations to find y. I'll use the second equation.
[tex]y=7x\\y=7(1)\\y=7[/tex]
2х + 5y = 6
x+2y = -3
what is x?
Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.
Answer:
!!4
Step-by-step explanation:
according to my calculation it is 114
If (A:20:4:16) is a proportion the find out the value of A fastly
Answer: A = 5
Step-by-step explanation:
I'll rewrite this as fractions.
[tex]\frac{A}{20}=\frac{4}{16}[/tex]
Solve for A,
[tex]A=\frac{20*4}{16}\\ A=\frac{80}{16}[/tex]
[tex]A=5[/tex]
I don’t know how to do this
Answer:
See attachment
Step-by-step explanation:
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
3\sqrt{2}3
2
3, square root of, 2, end square root
(Choice B)
B
3\sqrt 33
3
3, square root of, 3, end square root
(Choice C)
C
666
(Choice D)
D
6\sqrt 26
2
6, square root of, 2, end square root
(Choice E)
E
999
Report a problem
Do 5 problems
Answer: A or 3 sqrt 2
Step-by-step explanation:
Answer:
3 sqrt 2
Step-by-step explanation:
Convert 4.5 x 10
to a normal number
Step-by-step explanation:
4.5 × 10
= 45
this is the answer
A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
4.1 feet
17.0 feet
20.6 feet
21.4 feet
Answer:20.6
Step-by-step explanation:
20.6
Answer:
C) 20.6
Step-by-step explanation:
just took the test
Mr. Anderson has 4 recipes for granola. Which recipe has the greatest ratio of honey to oats?
Answer:
Recipe 3 has the greatest honey to oats ratio amongst the 4 recipes.
Step-by-step explanation:
Complete Question
Mr. Anderson has 4 recipes for granola. Recipe 1
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 5, 10, 15. Column 2 is labeled Oats (cups) with entries 2, 4, 6.
Recipe 2
A 2-column table with 3 rows is titled Recipe 2. Column 1 is labeled Honey (tablespoons) with entries 6, 10, 14. Column 2 is labeled Oats (cups) with entries 3, 5, 7.
Recipe 3
A 2-column table with 3 rows is titled Recipe 3. Column 1 is labeled Honey (tablespoons) with entries 3, 6, 9. Column 2 is labeled Oats (cups) with entries 1, 2, 3.
Recipe 4
A 2-column table with 3 rows is titled Recipe 1. Column 1 is labeled Honey (tablespoons) with entries 8, 10, 12. Column 2 is labeled Oats (cups) with entries 4, 5, 6.
Which recipe has the greatest ratio of honey to oats?
Solution
Computing the ratio of honey to oats for each of recipes
Recipe 1
Honey | 5 | 10 | 15
Oats | 2 | 4 | 6
Honey to Oats ratio = (5/2) = (10/4) = (15/6) = 2.5 to 1.
Recipe 2
Honey | 6 | 10 | 14
Oats | 3 | 5 | 7
Honey to Oats ratio = (6/3) = (10/5) = (14/7) = 2 to 1.
Recipe 3
Honey | 3 | 6 | 9
Oats | 1 | 2 | 3
Honey to Oats ratio = (3/1) = (6/2) = (9/3) = 3 to 1.
Recipe 4
Honey | 8 | 10 | 12
Oats | 4 | 5 | 6
Honey to Oats ratio = (8/4) = (10/5) = (12/6) = 2 to 1.
Recipe 3 evidently has the greatest honey to oats ratio amongst the 4 recipes.
Hope this Helps!!!
Answer: Recipe 3
Step-by-step explanation:
For the years between 1990 and 2009, the regression equation yˆ=0.15x+3.95 models the minimum wage, where x is the number of years after 1990.
Which statement is the best interpretation of the slope? Which statement is the best interpretation of the y-intercept? Select both correct responses.
Question 3 options:
The minimum wage increased by $0.15 per year.
The minimum wage in 1990 was $4.10.
The minimum wage increased by $0.15 every 4 years.
The minimum wage in 2000 was $3.95.
The minimum wage in 1990 was $0.15.
The minimum wage increased by $3.95 per year.
The minimum wage in 1990 was $3.95.
Answer:
1.) The minimum wage increased by $0.15 per year.
5.) The minimum wage in 1990 was $0.15.
7.) The minimum wage in 1990 was $3.95.
Step-by-step explanation:
given that the years between 1990 and 2009, the regression equation yˆ=0.15x+3.95 models the minimum wage.
where x = 19 years
The slope = 0.15
The intercept = 3.95
The best statement for interpretation of the slope and interpretation of the y-intercept are:
1.) The minimum wage increased by $0.15 per year.
5.) The minimum wage in 1990 was $0.15.
7.) The minimum wage in 1990 was $3.95.
What amount to the nearest cent will an account have after 6 years is $175 is invested at 8% interest compounded continuously
Answer:
$281.02
Step-by-step explanation:
P=$175
r=8%=0.08
t=6 years
n=12
A=p(1+r/n)^nt
=175(1+0.08/12)^12×6
=175(1+0.0066)^72
=175(1.0066)^72
=175(1.6058)
=$281.015
Approximately $281.02
AWARDING BRAINLIEST! Please help me.
Pythagorean Theorem
.
Answer:
40
Step-by-step explanation
100-60=40
Use properties of operations to write two expressions that are equivalent
to 3/4n + (8 + 1/3z).
Answer:
(9z+96nz+4n)/12nz
Step-by-step explanation:
3/4n + 8+ 1/3z. distributive property
The required equivalent expression is [9z + 96nz + 4n] / 12nz and the property used is distributive property.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
= 3/4n + (8 + 1/3z)
Using the distributive property for the association,
= 3/4n + 8 / 1 + 1/3z
= [9z + 96nz + 4n] / 12nz
Thus, the required equivalent expression is [9z + 96nz + 4n] / 12nz, and the property used is the distributive property.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
CAN SOMEONE PLS HELP!!!
Is the percent increase for 50 to 70 = to the percent decrease from 70 to 50
Answer:
no it is not equal.
Step-by-step explanation:
when you calculate the percentages, you will find that the increase has 40% while the decrease has about 28.6%
Answer:
No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Step-by-step explanation:
SAMPLE RESOND
Help me with this pls!
The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality?
Answer:
8
Step-by-step explanation:
y < mx+c
here y will be the temperature on any particular winter day, x will be the variable on whixh temperature is dependent and m will be the gradient.
The temperature must always be less than 8 so c will be 8.
y < 8
8 should be the maximum value of the inequaltiy
Answer:
your anwser is 8
Step-by-step explanation:
pls help it will mean alot!!
due rn!!
Answer:
f(x) = 4^x
f(4) = 4^4 = 256
Hope this helps!
:)
the answer is 256 but i am not sure
hope this helps and be safe :)
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the
probability that a randomly selected piece of fruit will be a nectarine? answer it in simplest form
Answer:
1/8 or 12.5%
Step-by-step explanation:
2/16 are nectarines. If you randomly choose a fruit out of the basket, you have a 2/16 chance of picking out a nectarine, which can be simplified down to 1/8 or 12.5%.
Answer:
there is a 12.5 percent chance
Step-by-step explanation:
first you have to turn 2/16 in to a decimal. this is 0.125
then to turn in it into a percent you move the decimal over two spots to the right
Exponential Growth and Decay The expressions below represent either exponential growth or exponential decay. Check all the expressions that represent exponential decay. 5x 3(0.75)2t 35(2.4)x 5000(1.04)3t 0.05x 500(0.005)t
Answer:
First one: 5x3(0.75)2t
and fourth one: 0.05x500(0.005)t
Step-by-step explanation:
In order to have an exponencial decay, the rate of the exponencial function needs to be lesser than 1.
The rate is the value between parenthesis, so in the first equation, the rate is 0.75, so this is an exponencial decay.
The second equation has rate = 2.4, so this is not an exponencial decay.
The third equation has rate = 1.04, so this is not an exponencial decay.
The fourth equation has rate = 0.005, so this is an exponencial decay.
Answer:
It's A,C,F
Step-by-step explanation:
I answered it :) and got it right.
The area of a swimming pool is 120 sq meters. The width of the pool is 8 meters. what is the length of the pool in centimeters ?
3. A regular hexagon has six equilateral triangles with a common
endpoint. If the height of one of those triangles is 8 inches explain
why the perimeter of the hexagon is 55.43 inches.
Answer:
if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in
Step-by-step explanation:
As the hexagon is regular, each of those triangles will also be regular.
So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:
height = side * sqrt(3)/2
8 = side * 0.866
side = 8/0.866 = 9.2379
The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:
P = 6 * 9.2379 = 55.43 inches
Kelly bought 3 bracelets and 4 necklaces. She spent between $39 and $59. Each bracelet costs the same amount. Each necklace costs the same amount. The price of a bracelet is $5. How many dollars was the necklace?
Answer:
1 necklace will therefore cost 34/4 = $8.5
Step-by-step explanation:
She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.
At an average, she spent $49.
The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.
Thus $49 - $15 = amount spent on the 4 necklaces = $34.
4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5
Joe is 6 A tall, and stands 30 ft away from a pole. If his line of sight to the top is at a 40° angle above the
horizontal approximately how tall is the pole?
Answer:
Height of pole =
31 feet
Step-by-step explanation:
Here, we are to calculate the height of the pole.
Please check the attachment for diagrammatic representation of the question.
We use trigonometric ratio to calculate the length AC first.
The ratio to use here is Tan
This is because we have the adjacent and we want to calculate the opposite
Mathematically;
Tan of an angle = length of opposite/length of adjacent
Tan 40 = AC/30
AC = 30Tan 40 = 25.17 which is approximately 25 feet
The height of the pole is the length CE + AC
CE = BD = 6 ft since they are opposite sides of rectangle BCDE
The height of the pole is thus 6 + 25 = 31 feet approximately
