Answer:
1. Translate circle G T₍₁, ₃₎, 1 right, 3 up
2. Dilate circle 'G' by a scale factor of 1/3 ro
Step-by-step explanation:
The parameters of the two circles are;
The center of circle G = (-4, 2)
The radius of circle G, r₁ = 6
The center of circle H = (-3, 5)
The radius of circle H, r₂ = 2
The transformations that will show that circle G is similar to circle H are;
1. Translate circle G 1 unit right and 3 units up to locate the center of circle 'G' at the center of circle 'H'
Therefore the translation of circle 'G' to circle 'H' = T₍₁, ₃₎
2. The scale factor required to dilate circle 'G' to circle 'H', S.F. = r₂/r₁
Therefore;
S.F. = 2/6 = 1/3
The scale factor required to dilate circle 'G' to circle 'H' = 1/3
Therefore;
The radius of circle 'H' with a radius of 2 and center at (-3, 5) can be obtained from circle 'H', by a translation of T₍₋₁, ₋₃₎, and a dilation with a scale factor of 1/3
In the right triangle shown, m A = 30° and AB = 12V3.
х
B
30
123
A
How long is AC?
Answer:
∴[tex]Cos A=\frac{AC}{AB}[/tex]
➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]
➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]
➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]
➛ [tex]x=18[/tex] ✓
➛[tex]AC=18[/tex] ✓
----------------------
hope it helps...
have a great day!!
Two square pyramids are similar.
The sides of the bases are 4 cm and
12 cm. The height of the smaller
pyramid is 6 cm. Find the height of
the larger pyramid.
Answer:
18 cm
Step-by-step explanation:
Since the pyramids are similar then the ratio of corresponding sides are equal, that is
12 ÷ 4 = 3
Then the height of the larger pyramid is 3 times the height of the smaller.
height of larger pyramid = 3 × 6 = 18 cm
NO LINKS!!! WILL REPORT!!!! NEED HELP ASAP
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using cos rule
cos 45=adjacent/hypotenuse
1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)
x[tex]\sqrt{2[/tex]=4
x=4/[tex]\sqrt{2}[/tex]
x=2[tex]\sqrt{2}[/tex]
May you help me with this❤️
Answer:
9.50x+130 > 700
Step-by-step explanation:
Answer:
9.50x+130> 700 I believe is the right answer.
Step-by-step explanation:
You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.
x equals how may hours
9.50x + 130 > 700
Evaluate the expression when x = 4 and y = 5.
3x2 + 4yº.x-1
Answer:
49
Step-by-step explanation:
Plug in 4 for x and 5 for y
[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]
i need the answer!!! please
Answer:
sinx = e/f
cosx = d/f
tanx = e/d
Step-by-step explanation:
soh cah toa
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft
Answer:
16 ft
Step-by-step explanation:
Area = Side^2 = (s)^2 = 256, Side = 16.
So, 16 ft.
Mark this as Brainliest if this was correct! I really appreciate it! :D
Answer:
16ft
Step-by-step explanation:
the function f(x) is graphed below. if f(n)=0 what is the value of n?
Answer:
n = 6
Step-by-step explanation:
f(n) = 0 is on the n- axis at (6, 0 )
When f(n) = 0 then n = 6
A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the ship is 45degrees. The distance from the top of the lighthouse directly to the ship is 4miles.Calculate the horizontal distance of the ship from the bottom of the lighthouse
Answer:
[tex]2\sqrt{2} \text{ mi}[/tex]
Step-by-step explanation:
See the attached image for a picture of the situation. The angle of depression lets you find the angle next to it but inside the triangle. It, too, must measure 45 degrees.
That means the triangle is an isosceles triangle (two legs of equal length).
Apply the Pythagorean Theorem.
[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]
Part II: Constructed Response (2 pt)
4) (LT #5) One of the games at a carnival involves trying to ring a bell with a ball by hitting a
lever that propels the ball into the air. The height of the ball is modeled by the equation
h(t) = -10t2 + 30t. If the bell is 25 ft above the ground, will it be hit by the ball. Explain or justify
your response
Students, draw anywhere on this side!
Answer:
here hereh ehreh ehe
Step-by-step explanation:
Find the measures of the interior angles of the triangle
Answer:
45°, 110° & 25°
Step-by-step explanation:
We know,
x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)
or, 2x + 90 = 180°
or, 2x = 90°
∴ x = 45°
Now,
∡A = x° = 45°
∡B = x +65° = 45° + 65° = 110°
please help!! I'm stuck on this
Answer:
D
Step-by-step explanation:
According to the volume formula, you multiply length x width x height
Answer:
D; 1*9*4
Step-by-step explanation:
Since the formula for the volume of a rectangular prisim is L*W*H (length times width times height), it would be 9*4*1. However, since the order doesn't matter (due to the commutative property of multiplication) it would be D.
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
10 in.
3.5 in.
4 in.
6 in.
12,5 in.
Hlw Gøød Mørnîng.....Plz guys solve this immediately......
Answer:
The remainder is 7
Step-by-step explanation:
What we have to do here is to set g(x) to zero and solve for x
The value of x is then substituted into the polynomial p(x)
we have this as follows;
x-1 = 0
x = 1
P(1) = 1^3 -6(1)^2 + 9(1) + 3
P(1) = 1 - 6 + 9 + 3
P(1) = 7
This value is the remainder
someone help as soon as possible pls
Answer:
Check the explanation below please! :)
Step-by-step explanation:
"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.
The color options for each item are: yellow (Y), green (G), or black (B).
The sample space for the color selection of hats and pants is:
Sample Space
Hats Pants
Y Y
Y G
Y B
G Y
G G
G B
B Y
B G
B B
There are a total of 9 possible selections."
Credit goes to: https://brainly.com/app/profile/13544493/answers
help me on this question
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Step-by-step explanation:
Use proportions to solve this and the similarity from smaller side to corresponding larger side:
[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:
1050 = 25(4x + 10) and
1050 = 100x + 250 and
800 = 100x so
x = 8
Beth is flying a kite with 300 feet of string. The kite gets stuck in a tree, so she ties the other end of the string to a rock on the ground making the string taut. The angle of elevation from the rock to kite is 35 degrees. How far up the tree is the kite? Round your answer to the nearest tenth. (No links please)
Answer:
[tex] \displaystyle 172.1 ft[/tex]
Step-by-step explanation:
refer the attachment
let the string be hypotenuse and
the height be h And the angle be 35°
given that,
hypotenuse:300ftangle:35°since we are given the hypotenuse and want to figure out the opposite side we'll use sin function
so our equation would be
[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]
cross multiplication:
[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]
by using calculator we obtain:
[tex] \displaystyle h = 172.1[/tex]
hence,
about 172.1ft far up the tree is the kite
Hope this help!!!
Have a nice day!!!
3 in.
Find the radius and diameter of the circle.
Radius =
Diameter =
Answer:
Step-by-step explanation:
radius=3 in.
diameter=2r
=2*3
=6 in.
Radius = 3 inches
Diameter = 6 inches
Explanation:-The given radius is 3 inches.
We know that diameter is twice the radius. So,
Diameter = 2r
= 2×3
= 6 inches
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
What is the first step in solving the following equation:
−1\2x − 33 = 33
Answer:
add 33 to both sides
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )
- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )
x = - 132
Answer:
First step is to make x the subject of the equation.
Step-by-step explanation:
[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]
what is eight less than a number as an algebraic expression
Answer: n-8
Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.
I hope this helps, have a nice day.
help me out please !!!!
Answer:
0.06 liters
Step-by-step explanation:
acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.
so, 100 units are 0.2 liters in this example.
that means that 65/100 × 0.2 = 0.13 liters are acid.
35/100 × 0.2 = 0.07 liters are water
we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).
the account of acid remains the same, as we are only adding water.
so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?
0.13 - 0.07 = 0.06 liters
Solve −18=6+6x .
x = __
Answer:
x = -4
Step-by-step explanation:
-18 = 6+6x
-18 -6 = 6x
-24 = 6x
-24/6 = x
x = -4
Checking Part:
-18 = 6 + 6x
-18 = 6 + 6(-4)
-18 = 6 -24
-18 = -18
Answer:
-4
Step-by-step explanation:
Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4
Hope this helps
find the slope for me please (2, -5) (7, -5)
Answer:
slope=y2-y1/x2-x1
=-5+5/7-2
=0/5
=0
Step-by-step explanation:
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
The circle below is centered at the origin and has a radius of 10. What is its
equation?
Answer:
x^2 + y^2 = 100
Step-by-step explanation:
The general form of the equation of a circle is
(x-h)^2+(y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2+ (y-0)^2 = 10^2
x^2 + y^2 = 100
Please answer this math question please and fast
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
To know more about an area follow
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(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)
Answer:
Hello!!!Step-by-step explanation:
The first step for solving this expression is to remove the first set of parenthesis.
-8.3x+4 - (3.2x-5)
Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following
-8.3x + 4 - 3.2x + 5
Collect the like terms with an x variable.
-11.5x + 4 + 5
Lastly, add the number to get your final answer
-11.5x + 9
Hope that helps you dear...
Have a nice day..
Buhbye!
The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded
Answer:
True , null
Step-by-step explanation:
Mostly the true hypothesis is the null hypothesis .
We test the true hypothesis , the null hypothesis against the claim provided which is named as alternate hypothesis.
When the false hypothesis is the null hypothesis , type II error is made.
Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.
So option 1 is correct