Answer:
9 units
Step-by-step explanation:
Area of rectangle= length ×width
Let the length of the rectangle be x units.
Width of rectangle= (x -6) units
Area of rectangle= 27 units²
x(x -6)= 27
x(x) -x(6)= 27 (expand bracket)
x² -6x -27= 0
(x -9)(x +3)= 0 (factorise)
x -9= 0 or x +3= 0
x= 9 or x= -3 (reject)
∴ The length of the rectangle is 9 units.
Which statement about the dilation of these triangles is true?
O The scale factor is
1/2
The scale factor is 2.
The scale factor is 3.
The scale factor is 4.
Given:
The figure of two triangles.
To find:
The scale factor.
Solution:
We know that,
[tex]\text{Scale factor}=\dfrac{\text{Side of Image}}{\text{Corresponding side of original figure}}[/tex]
In the given figure,
[tex]\text{Scale factor}=\dfrac{5(2)}{5}[/tex]
[tex]\text{Scale factor}=2[/tex]
The scale factor is 2. Therefore, the correct option is B.
PLS HELP ILL GIVE BRAINLIEST
Answer:
I believe that the answer is 13 feet long
what is the volume of a cone with a diameter of 10 in and a height of 12 in
Answer:
V = 100π
Step-by-step explanation:
The volume of a cone is V = ([tex]\frac{\pi r^2h}{3}[/tex])
1) [tex]\frac{\pi5^212}{3}[/tex]
2) [tex]\frac{300\pi }{3}[/tex]
3) 100π
Write the linear equation in slope intercept form of a line that is not parallel or perpendicular to y = x - 4
Answer:
y = xa - (4 + b)
where a or b do NOT = 1
Step-by-step explanation:
changing a changes the angle of the line, where as changing b changes how high up or down the y-axis the line crosses at
the current problem draws a line that is 45 degrees and crosses the y-axis at -4, we can change that in any way, if we make a = 3, then the slope will be 3 times greater then if it was 1, if it was 1/3 then it would be 1/3 of the slope, making it seem flatter and less steep
i hope this helps you create your own formulas now and in the future, this is a reference sheet i made for my own schooling, though i used a different example problem
as always. y = mx + b and have a great day :D
Write the sentence as an equation, then solve.
2 more than 3 times a number x is 17.
The sentence written as an equation is ?
The solution is x =?
Answer:
The sentence written as an equation is 3x + 2 = 17
The solution is x = 5
Step-by-step explanation:
First, create the equation
2 more than 3 times a number x can be represented by 3x + 2
Set this equal to 17, to get the equation 3x + 2 = 17
Now, solve for x:
3x + 2 = 17
3x = 15
x = 5
So, the sentence written as an equation is 3x + 2 = 17
The solution is x = 5
how does a fraction model help you
Answer:
Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.
Step-by-step explanation:
The measure of an angle is nine times the measure of its complementary angle. What is the measure of each angle?
Answer:
the angle is 81 and it's complementary angle is 9
let X be the angle
let 90-x be it complementary angle
so X=9(90-x)
X=810-9x
810=10x
X=810/10
X=81
and complementary angle 90-x which is 90-81 is equal to 9...
8x=3(x+1)+2
What’s x?
Answer:
8x=3(x+1)+2 : x =1
Step-by-step explanation:
Answer: The x is 1
Step-by-step explanation:
Find the measure of
A) 61
B) 55
B) 73
D) 60°
Answer:
60°
Step-by-step explanation:
180 - 115 = 65
180 = 65 + (9x + 6) + (9x + 1)
Subtract/simplify:
115 = 18x + 7
Subtract:
108 = 18x
Divide:
108/18 = 6
x = 6
Plug x back in:
9(6) + 6 = 54 + 6 = 60°
An Olympic-size swimming pool holds 2,500,000 liters of water. How many gallons of water does the pool hold if 1 L = 0.26 gal?
Answer:
9 615 384.62 litersStep-by-step explanation:
What you do is 2,500,000 liters divided by 0.26 gallons = 9 615 384.62 liters
What is cos(r)
(Picture)
Answer:
cos = adj/hyp
= 16/20
= 4/5
app nearpod.com/presentation7pinFQ3R
Independent Practice:
1. If two points, R and T, have coordinates of R(-5, 8) and T(3,14).
then which of the following points lies at the midpoint of RT ?
a) (-2, 22)
b) (-5,14)
c) (-1,11)
d) (2011)
Answer:
A
Step-by-step explanation:
-5+3=-2
8+14=22
Mohamed wants to buy a television that costs $800, including taxes. To pay for the television, he will use a payment plan that requires him to make a down payment of $200, and then pay $65 each month for 10 months. What is the percent increase from the original cost of the television to the cost of the television using the payment plan?
Answer:
6.25%
Step-by-step explanation:
I'm simply returning the favor.
If the down payment is $200, then we can subtract:
$800 - $200 = $600
Then we can find the "rent" times ten, then subtract it from the $600 left to pay.
$65*10 = $650
Now here is the hard part. We know that 600 < 650. So we need to subtract 650 from 600.
$650 - $600 = $50
Now we need to find how much more Mohamed paid than the original price.
$850 is _____% more than $800.
$850 is 106.25% more than $800.
Subtract 100% to get the difference.
6.25% is your answer.
Hope this helps. Have a nice day.
Select all of the numbers that make the inequality statement true.
1 point
3.5x10
<7.4x10
1.85 x 10+
5.3 x 10
ПА
4.12 x 10
6.4.x 10
Answer:
7+y
Step-by-step explanation:
Caitlyn was traveling at 16 m/s and creatures be to 4 m/s in three seconds. What was Caitlyn's acceleration?
Answer:
-4m/s²
Step-by-step explanation:
(4m/s - 16m/s) / 3s = -12m/s / 3s = -4m/s²
find the exact value of x. x=
Calculate the sum between the fractions below in simplest form *(write as a mixed number)*
PLZ HELP!!!!!!
Answer:
1 2/8 and 1 1/15
Step-by-step explanation:
10/8 is equal to 1 and 2/8
16/15 is equal to 1 and 1/15
What does the diagram show about Earth’s interior?
The outer core is the hottest region.
The mantle is hotter than the outer core.
The continental crust is the coolest region.
The inner core is cooler than the lithosphere
Answer:
C. The continental crust is the coolest region.
Step-by-step explanation:
Because the closer you get to the earth's interior, the hotter it gets.
How can you determine
a representative sample of a population?
Lauren solve a quadratic by factoring response is below analyze the answer then incomplete sentence is discuss whether the answer is incorrect or correct if the answer is incorrect explain Lauren thinking and where she made her mistake
Answer:
half correct half wrong 2/5 should be 5/2 but 1 is correct
Step-by-step explanation:
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
=7+3
____
4
=7−3
____
4
Rearrange and isolate the variable to find each solution
=5/2
= 1
Solution
=5/2
=1
Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. What is the total cost of the project?l
Answer:271.66$
Step-by-step explanation:
PLLLLLLLSSSSSSS HELP MEEE!!!!! I AM STUCK ON THIS AND I NEED HELP I NEED ANSWER AND WORK IF U GET IT RIGHT I WILL GIVE BRAINLIEST. If the perimeter of a rectangle is 26x^2+16x+10 and the length is 8x^2+6x+4, what is the width?
Answer:
2(3x2 + 6x - 10) + 2(3x + 5)
Step-by-step explanation:
Answer:
Lol. Give brainliest to the other guy.
Step-by-step explanation:
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
The measure of one interior angle of a parallelogram is 42 degrees more than twice the measure of another angle. Find the measure of each angle.
Answer:Measure of the angles are 50, 130, 50 & 130
Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.
enter image source here
Let one angle be A
Other adjacent angle b will be 180-a
Given b = 2a + 30. Eqn (1)
As B = 180 - A,
Substituting value of b in Eqn (1) we get,
2
A
+
30
=
180
−
A
∴
3
a
=
180
−
30
=
150
A
=
50
,
B
=
180
−
A
=
180
−
50
=
130
Measure of the four angles are
50
,
130
,
50
,
130
Given: f(x) ≥ 0 for a ≤ x ≤ b and `int_a^b f(x) dx >= (k + 3 + 2)` What is the value of k?
Answer:
(k+3+2)= k+5 yan po ang sagot
In ΔNOP, p = 72 inches, o = 84 inches and ∠O=19°. Find all possible values of ∠P, to the nearest degree
Answer:
16
Step-by-step explanation:
The value of the angle m∠P is given by the law of sines and m∠P = 16°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔNOP
Now , the measure of side p = 72 inches
The measure of side o = 84 inches
And , the measure of angle ∠O = 19°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin p / 72 = sin o / 84
Multiply by 72 on both sides , we get
sin p = ( 72 / 84 ) sin ( 19 )°
On further simplification , we get
sin p = ( 0.857 ) x 0.325568
sin p = 0.279058
Taking inverse on both sides , we get
p = sin ⁻¹ ( 0.279058 )
p = 16.204°
Therefore , the value of p is 16°
Hence , the measure of angle ∠P = 16°
To learn more about laws of sines click :
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A large aquarium should contain 10,000 liters of water when it is filled correctly. It will overflow if it gets up to 12,000 liters. The fish will get sick if it gets down to 4,000 liters. The aquarium has an automatic system to help keep the correct water level. If the water level is too low, a faucet fills it. If the water level is too high, a drain opens. One day, the system stops working correctly. The faucet starts to fill the aquarium at a rate of 30 liters per minute, and the drain opens at the same time, draining the water at a rate of 20 liters per minute. How long will it take until the tank starts overflowing or the fish get sick (if it started with 10,000 liters of water)?
Answer:
The water level is rising because it is filling 10 more liters than it is draining
16.7 hours
Step-by-step explanation:
The rate at which the tank is filled and the rate at which the tank is draining
are constant.
Correct response;
The tank will start overflowing after 3 hours and 20 minutes. Method used to obtain the above response;Given:
Volume of water in the aquarium = 10,000 liters
Volume level at which the tank overflows = 12,000 liters
Level of the volume at which the fish get sick = 4,000 liters
Rate at which water enters the tank = 30 liter per minute
Rate at which the tank is draining the water = 20 liters per minute
Required;
The time it will take until the tank starts overflowing.
Solution:
Water that needs to be added to the tank before it begins to overflow = 12,000 liters - 10,000 liters = 2,000 liters
Let x represent the time after which the tank starts overflowing, the
(constant) rate of change function that gives the time it takes for the water
to overflow is therefore;
30·x - 20·x = 2,000
10·x = 2,000
x = 200 minutes = 3 hours and 20 minutes
The time it to overflow is 3 hours 20 minutes.Learn more about rate of change functions here:
https://brainly.com/question/20066447
If carmen divides 1/7 of a pound of raspberry pudding equally between 10 bowls, how much goes into each bowl?
Answer:
1/70 of pound
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
Applying the fractions formula for division,
you move right 7 units. you end at (4,-4) where did you start? someone please help fast.
Answer:
(-3 , -4)
Step-by-step explanation:
When you move right on a coordinate plane, you go up positively on the X axis. So in order to find where you started, simply reverse the change by subtracting 7 from 4, and you get -3.
yo if you gave me brainliest that would be pretty poggers, as it turns out that only a small percentage of you guys are actually subscribed, so please hit that thanks button, and consider giving me brainliest. it's free, and you can always change your mind later.
Which inequality describes the possible values of x?
B
F
12
50°
с
E
G
(5x-10)
10
D
A. 2
O
B. 2
C. 2
D. 2 < x < 22
Answer:
Step-by-step explanation:
ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt
The inequality that describes the possible value of x is 2< x < 22.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Given that ∠A = 50°
AB ≈ DE ≈ EF
BC = 12
CD = 10
And the ∠E = (5x - 10)°
From the Graph, we can see that Angle A is the alternate angle to angle G
Alternate angles are the angles that occur on opposite sides of the transversal line. We can easily spot two interior alternate angles by drawing Z. The value of alternate angles is equal.
thus, ∠A = ∠E
50° = 5x -10
5x = 60
x = 12
Therefore, from the given options the value of x lies in the inequality 2 < x < 22.
Learn more about inequality here:
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Two pizza delivery drivers compared the mean numbers of
deliveries they completed in one day.
Answer:
B
Step-by-step explanation:
Ape x
Answer:
Step-by-step explanation:
C