Answer:
Height of the tree = 6 meters.
Step-by-step explanation:
P.S - The exact question is -
The graph is as follows :
Here Base = 8 m , Hypotenuse = 10 m
As, we know that By Pythagoras theorem,
( Hypotenuse )² = ( Base )² + ( Perpendicular )²
⇒(10)² = (8)² + ( Perpendicular )²
Let the height of the tree = x
∴ we get
(10)² = (8)² + ( x )²
⇒100 = 64 + x²
⇒100 - 64 = x²
⇒36 = x²
⇒x = √36
⇒x = 6
∴ we get
Height of the tree = 6 meters.
You want to get a job to earn at least $120 per week, but you can not work more than 18 hours a week. There is online work you can do that only pays $4 per hour, or you could help your uncle for $8 per hour as an apprentice repair mechanic. Is the below a possible solution? (Type your fill-in-the-blank answers).
Captionless Image
Answer:
hm the 8 per hour seems more accurate because if you multiply or divide 8 could almost get you to 120
Step-by-step explanation:
4(-2x-7) use distributive property to expand it
Answer:
-8x-28 is after the distributive prop simplified
Step-by-step explanation:
4(-2x-7)
(4×-2x)-(4×-7)= -8x-28
an airplane is preparing to land at an airport it is 48,000 ft above the ground and it is descending at the rate of 3,300 ft per minute at the same airport another airplane is taking off and will ascend at the rate of 2,700 ft per minute when will the two airplanes be the same altitude and what will that altitude be
Answer:
8 minutes
alt. = 21,600 ft
Step-by-step explanation:
Isolate the variable.
48,000 - 3,300x = 2,700x
48,000 = 2,700x + 3,300x
48,000 = 6,000x
8 = x
8 minutes
Substitution.
48,000 - 3,300(8) = 2,700(8)
48,000 - 26,400 = 21,600
21,600 = 21,600
21,600 ft
The sum of four consecutive integers is 170. Write an equation that can be used to find the smallest integer.
Answer:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
Step-by-step explanation:
Four consecutive integers is represented by:
First Integer = x
Second Integer = x + 1
Third Integer = x + 2
Fourth Integer = x + 3
The sum of four consecutive integers is 170.
x + x + 1 + x + 2 + x + 3 = 170
The Equation to find the smallest integer =
4x + 6 = 170
4x = 170 - 6
4x = 164
x = 164/4
x = 41
Therefore:
The Equation to find the smallest integer =
4x + 6 = 170
The smallest integer = First integer = x = 41
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
Some money was invested at 12% interested for 2 years. If the interest was $21, how much was invested?
Answer:
$87.5 was invested
Step-by-step explanation:
10.5 is 12% of 87.5, so if the money was in the bank for 2 years, we would have to do 10.5*2 which is 21, and that's how much money was gained from the investment.
The sequence below shows a certain company's expected net worth, in millions of dollars, after 1, 2, 3, and 4 years and so on).
14.5, 13.1, 11.7, 10.3, ...
th
Which function models the n term of this sequence, for n = 1, 2, 3, 4, ...?
A f(n) = 14.5 – 1.4(n - 1)
B f(n) = 14.5+ 1.4(n - 1)
с. f(n) = 14.5 – 1.4n
D. f(n) = 14.5+ 1.4n
Answer:
the answer is f(n)=14.5−1.4n
Step-by-step explanation:
Hope this helps
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d
The given arithmetic sequence is 14.5, 13.1, 11.7, 10.3,....
Here, a=14.5 and d=14.5-13.1=1.4
Substitute a=14.5 and d=1.4 in an=a+(n-1)d, we get
f(n)=14.5+1.4(n-1)
The function models the n term of the given sequence is f(n)=14.5+1.4(n-1). Therefore, option B is the correct answer.
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a gazelle can run away from a cheetah with a speed of 35.0 m/s. if the average gazelle has a mass of 40.00 kg, what is the gazelles kinetic energy,in kilojoules?HELPPP
9514 1404 393
Answer:
24.5 kJ
Step-by-step explanation:
Kinetic energy is given by the formula ...
KE = 1/2mv² . . . . . where m = mass
The gazelle's kinetic energy is ...
KE = 1/2(40 kg)(35 m/s)² . . . . . where m is meters
= 24,500 J . . . . . . 1 J = 1 kg·m²/s²
= 24.5 kJ . . . . . . . 1000 J = 1 kJ
Someone help plz????
Answer:
the answer is 24.1 MM
Step-by-step explanation:
Answer:
approx. 24.1 mm squared (when rounded to the nearest 10th)
Step-by-step explanation:
Surface area of cylinder = 2πr(h+r)
plug in what we know
2π*1.2(2+1.2)
solve
approx. 24.1 mm squared
Write a expression shows an expanded form of -8x^3y^2(x^2-4y)
Answer:
Step-by-step explanation:
-8x³y²(x²-4y) = -8x³y²x² + 8x³y²4y
= -8x³⁺⁵y² + 32x³y²⁺¹
= -8x⁸y² + 32x³y³
which graph showed exponential growth
one fourth of two thirds
What is that in Verbal expression fractions
8 Black pencils cost 15e cach and coloured
pencils cost 2lc cach. Ir 24 pencils cost
$4,02, how many of them were black (Hint
let there be + black pencils. Thus there are
24 – x coloured pencils. Work in cents.)
of
Answer:
17 black pencils
Step-by-step explanation:
Cost of black pencils; 15 cents each
Cost of colored pencils; 21 cents each
We are told that 24 pencils cost $4.02 = 402 cents
Let black pencils be x and let colored pencils be y.
Thus;
x + y = 24 - - - (eq 1)
Also,
15x + 21y = 402 - - - (eq 2)
From eq 1, y = 24 - x
Thus putting it in eq 2 gives;
15x + 21(24 - x) = 402
15x + 504 - 21x = 402
504 - 402 = 6x
x = 102/6
x = 17
POINTS
Wealth, fame, power.
Gold Roger the king of the pirates obtained this and everything else the
World had to offer. And his dying words drove countless souls to the seas.
“You want my treasure? You can have it! I left everything I gathered
Together in one place. Now you just have to find it! ”
These words lured men to the grand line, pursuing dreams greater than they
Ever dared to imagine. This is the time known as the great pirate era.
Come on board and bring along,
All your hopes and dreams.
Together we will find everything
That we’re looking for.
One Piece
Compass left behind.
It’ll only slow us down.
Your heart will be your guide.
Raise the sails and take the helm.
That legendary place,
That the end of the map reveals
It’s only legendary,
Till someone proves it real.
Through it all,
Through all the troubled time,
Through the heartache
And through the pain.
Know that I
Will be there to stand by you,
Just like I know you’ll stand by me.
So come on board and bring along,
All your hopes and dreams.
Together we will find everything
That were looking for.
There is always room for you,
If you want to be my friend.
We are!
We are
On a cruise!
We are!
Answer:
i honestly don’t know if there was a question
Step-by-step explanation:
A bookshop has an offer.
"Buy one book and get one free!"
Ria gets 8 books from the shop with that offer.
The normal price of each book is £5.99.
How much does Ria spend?
stop saying yall gon help me and not help me......
but anyays can sum1 go to meh acc nd help pls ill give brainlist
Answer:
Sure thing. Which question do you need help with? ill do the best i can.
8. Find the slope of the line that contains the
following points:
b. (6, -2) and (-3, 1).
Answer:
slope = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
1) Find the slope with the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] (in which [tex]m[/tex] represents the slope). The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points (6, -2) and (-3, 1) into the appropriate places in the formula and solve:
[tex]m = \frac{(1)-(-2)}{(-3)-(6)} \\m = \frac{1+2}{-3-6} \\m = \frac{3}{-9} \\m = -\frac{1}{3 }[/tex]
Thus, the slope is [tex]-\frac{1}{3}[/tex].
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
3 cm
8 cm
A. 36 77 cm3
B. 54 77 cm3
C. 108 77 cm3
D. 18 TT cm3
Answer:
B
Volume of cylinder is [tex]\pi r^2*h[/tex]
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
Answer:
(−8,−2)
Step-by-step explanation:
Ashley spent 30% less buying her English reading book than Tommy. Gianna spent 9% less than Tommy. Gianna spent more than Ashley by what percent.
Answer:
Gianna spent 21% more
Step-by-step explanation:
30-9=21
Dana has $70 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will she earn in 1 year?
Help
Answer:$60
Step-by-step explanation:
paula is draining her fish tank. when she starts draining it, the height of the water is 33 cm. six mintues later, the height of the water is 15 cm.
If the water continues to drain at this rate until it is empty, how many total minutes will it take Paula to drain her fish tank?
yes the answer is 11 minutes
What is the solution to -2(2x - 3)= 4 - (3x + 5)?
Answer:
x=7
Step-by-step explanation:
expand -2(2x-3): -4x+6
expand 4-(3x-5): -3x-1
it's now -4x+6=-3x-1
subtract 6 from both sides
-4x+6-6=-3x-1-6
simplify
-4x=-3x-7
add 3x to both sides
-4x+3x=-3x-7+3x
simplify
-x=-7
divide both sides by -1
[tex]\frac{-x}{-1}[/tex]=\ [tex]\frac{-7}{-1}[/tex]
simplify
x=7
sorry for the lengthy explanation hope this helps :) have a nice day !!
Use the square root property to solve: 5x^2+8 =133
Please help
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
What is the value of 0.1562 rounded to the nearest hundredth place?
Answer:
0.16
Step-by-step explanation:
Isaiah is saving money every week. Isaiah started with $14 and added $20 every week. Find the rate of change.
Answer:
42.86%
Step-by-step explanation:
Rate of change = (change in amount saved / amount first saved) x 100
change in amount saved = $20 - $14 = $6
($6/$14) x 100 = 0.428571 = 42.86%
Answer:
$20
Step-by-step explanation:
The graph of a linear system is shown. y oo D ONUR 1 کلو -545 -4 -3 -2 -11 1 2 3 4 5 6 7 8 9 10 What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(2,7)
Step-by-step explanation:
Geometry 3 help please
Answer:
Ok its A= x +4 because that its lower than the other one so since its lower it will be better
Anyone know??????????
Answer:
(2,2)
Step-by-step explanation:
The answer is where the two lines intersect.
Answer:
the answer is probably 2,2, not sure tho.
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply
1. The corresponding sides of the triangles are congruent
2. The corresponding angles of the triangles are congruent
3. The corresponding sides of the image are 5 times as long as those of the pre-image
4. The image is a reduction of the pre-image
5. Neither the dilation nor the rotation change the shape of the triangle
6. The rotation reduces the size of the triangle
Please hurry, thank you!
Answer
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Options 2, 4 and 5 are the correct answer.
Given that, a triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides.
2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles.
3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image.
4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced.
5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths).
6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position.
Therefore, options 2, 4 and 5 are the correct answer.
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