Answer:
BC ≈ 13.7
Step-by-step explanation:
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )
BC × cos51° = 8.6 ( divide both sides by cos51° )
BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )
What is the unit rate per student?
12 students ate 4.5 pizzas
Answer:
5,200rs
Step-by-step explanation:
Answer:
0.37
Step-by-step explanation:
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Barry is shopping for a new sweater that originally cost $50.00. The department store has all items marked down by 20%. He also has a coupon for an additional 10% off all purchases.
Barry
Since all items are marked down by 20%, and I have an additional 10% off, that means
I get a 30% discount.
The cost of the sweater is $50.00 – $15.00 = $35.00.
Describe Barry’s mistake. Then calculate how much Barry will pay for the sweater.
9514 1404 393
Answer:
mistake: the base for the additional discount is not the original price$36Step-by-step explanation:
The marked-down price is ...
$50 × (1 - 20%) = $50 × 0.80 = $40
Barry gets a 10% discount on that price, so his discount is ...
$40 × 0.10 = $4
Barry pays $40 -4 = $36.
__
Barry would be correct if the "additional 10% off" were based on the original price, but it isn't. It applies to the already-discounted price.
Please don’t comment if your not going to help!
Need help asap/ Need help finding sides by using trigonometry!
Don’t forget SOHCAHTOA.
Sine-opposite/hypotenuse
Cosine-adjacent/hypotenuse
Tangent-opposite/adjacent
Answer:
1. x = 6.1
2. x = 95.5
3. x = 0.51
4. x = 94.4
5. x = 5.3
Step-by-step explanation:
I did this in degree mode, with SOH CAH TOA. The * sign represents the degree sign in my explanation.
1. sin 34* = 3.4/x -> x(sin34*) = 3.4 -> x = 3.4/(sin34*) -> 6.1
2. cos 57* = 52/x -> x(cos57*) = 52 -> x = 52/cos57* = 95.5
3. tan63* = 1/x -> x = 1/tan63* = 0.51
4. tan58* = x/59 -> 59(tan58*) = x -> x = 94.4
5. cos55* = x/9.3 -> 9.3(cos55*) = x -> x = 5.3
Click to select the figure in the image that would portray the rotation of the given preimage. The arrow represents both the direction and angle measure of the rotation.
Pre-image:
Image:
Based on the First image, the correct option is the fourth image while based on the second image, the correct option is the fourth image also.
Wat is the rotated in the above direction about?Given that the pre-image is rotated in the direction of the arrow as seen an the first image.
It is required to find the image formed also in that given direction.
Based on the fact that the arrow is rotating counter-clockwise, we get that, the shape of the pre-image will also rotate upwards towards the left hand side of the image shown.
So, based on the options (Taking the 1st image as pre-image), we have,
The fourth image where the shape is at the highest height will be the the fourth image after rotating the pre-image.
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On a map the
distance between +
Houston and Austin is is
7 cm. The scale on the
map is 1cm = 56 mi. 1
What is the distance
between the two
cities?
Answer:
392
Step-by-step explanation:
1 cm is 56, you would multiply that by 7 to get 392.
Find the value of x so the function has the given value.
f(x) = 3x - 4; f(x) = 17
Please HELP
Answer: 7
Step-by-step explanation:
To find the value of x, we can set the f(x) of each equation equal, so we get
3x - 4 = 17
+ 4 +4
3x = 21
x = 7 [Divide 3 by both sides]
How many sections are in a coordinate graph?
Answer:
4
Step-by-step explanation:
Answer:
4 sections!!
Step-by-step explanation:
Find the volume of a cylinder with a radius of 4 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the
nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
603.19 with pi and 602.88 with 3.14
Step-by-step explanation:
V = pi times r^2 times h
Robert Downey Jr.'s costume rental shop charges $8 a day to rent a costume. Chris Evans' costume rental shop charges $6 a day and a $160 fee to rent a costume. For how many days would it be the same cost to rent a costume from either shop?
need the equation with variables on both sides
Answer:
80 days
Step-by-step explanation:
Start off by making the two equations.
t = total cost
d = days
Robert Downey Jr.'s equation would be:
t = 8d
Chris Evans' equation would be:
t = 6d + 160
Now, set them equal to each other:
8d = 6d + 160
Then, solve for d:
8d = 6d + 160
Subtract 6d from both sides:
2d = 160
Divide both sides by 2:
d = 80 days
can someone solve this quick? i wanna check if i solved it correctly
Answer: [tex]x \le 9[/tex]
x is less than or equal to 9
on a keyboard you would write x <= 9
===========================================
Explanation:
We have a closed circle at x = 9. This means we include this endpoint as part of the shaded region. We will have "or equal to" as part of the inequality sign.
We also have "less than" as part of the inequality sign since we shade to the left. Values in the shaded region (eg: 2, 3, and 4) are either less than 9 or equal to 9.
So that's why the graph represents [tex]x \le 9[/tex]
----------------
Extra info:
If you want to write that in interval notation, then you would say [tex](-\infty, 9][/tex]
The curved parenthesis says to exclude the endpoint. We can't ever reach infinity so we cannot possibly include it as a number.
The square bracket says to include the endpoint.
3
Which of the following is a rational number?
O A. 66
OB.
7
OC. 36
OD.
V40
Show BOTH distribution and FOIL to find the product of (3x - 2) and (2x + 6).
!!!Brainliest to the first one to help me!!!!
Answer:
8 X
Step-by-step explanation:
I just did it in e d g
Help please numbers 15-16
Answer:
for 15 the answer is 61 and
16 the answer is 82
Step-by-step explanation:
First you need to know that these are vertically opposite angles and that the vertical opposite angles are always the same.
therefore in qn 15.
- the 125 degrees angle is vertically opposite to the 64 + x angle therefore we make an equation
64 + x = 125 (then minus 64 on both sides)
(64 - 64)+ x = 125 - 64
x = 125 - 64
x = 61
the same goes for qn 16.
85 + x = 167 (then minus 85 in both sides)
85 - 85 + x = 167 - 85
x = 167 - 85
x = 82
how do i do a dialation
Answer:
A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller).
Step-by-step explanation:
Dilations can also reduce the size of shape. The picture below demonstrations a dilation of 12 Any time that the scale factor is a fraction, the image will get smaller.
It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2, 4) by a scale factor of 12.
what is pi to the 10th digit(decimal plce)
Answer:
5
Step-by-step explanation:
by memorization, pi will go on like this:3.14159265358979.. therefore, the 1oth deciimal is 5
Answer:
5
Step-by-step explanation:
the 10th decimal place is 5
a transformation that slides the figure from one position to another without turning
1.rotation
2.translation
3. reflection
2a - 5 > 3 please help ASAP :)))
Answer:
a>4
Step-by-step explanation:
What’s 3/45 divided by 4000/5467
Answer:
Here is the answer.
Step-by-step explanation:
Question 4 of 10
Which set of values could be the side lengths of a 30-60-90 triangle?
the right answer is c
The sum of three consecutive numbers is 90. What is the largest integer?
a. 29
b. 30
c. 31
d. 32
Figure WXYZ is rotated 90° clockwise around the
origin to form figure W'X'Y'Z'.
The coordinates of the figure W'X'Y'Z' are W' (5, 4), X' (4, 1), Y' (1, 6) and Z' (3, 8).
The coordinates of the quadrilateral WXYZ is W(-4, 5), X(-1, 4), Y(-6, 1) and Z(-8, 3).
We need to find the coordinates of the figure W'X'Y'Z', in which figure WXYZ is rotated 90° clockwise.
What is the rotation of the figure 90° clockwise?To rotate the figure 90° clockwise about a point, every point (x,y) will rotate to (y, -x). Let's understand the rotation of 90° clockwise about a point visually. So, each point has to be rotated and new coordinates have to be found.
Now,
W (-4, 5)→W' (5, 4)
X (-1, 4)→X' (4, 1)
Y (-6, 1)→Y' (1, 6)
Z (-8, 3)→Z' (3, 8)
Therefore, the coordinates of the figure W'X'Y'Z' are W' (5, 4), X' (4, 1), Y' (1, 6) and Z' (3, 8).
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What is the area of 3.5 and 4.8 and 6
You spin a spinner with five equal spaces and roll an eight-sided die. How many possible outcomes are in the sample space?
Answer:
40
Step-by-step explanation:
The spinner gives you 5 choices.
The die gives you 8 choices
Answer: The total number of choices is 5* 8 = 40
it is saying that You spin a spinner with five equal spaces so, we have 5
roll an eight - sided die so, we have 8
then, it is saying that
How many possible outcomes are in the sample space
so, we have to multiply 5 with 8 we get the answer :-= 5 × 8
= 40
so, we have answer is 40Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−1, −6)
(7, 0)
(11, 3)
(−3, 3)
Answer:
Step-by-step explanation:
1) (-1,-6)
The easy way is just plug in the values to see if it's equal to 21
» The planet Venus is on average
2.5 x 107 kilometers from Earth. The
planet Mars is on average 2.25 x 108
kilometers from Earth. What is the
average distance from Venus to Mars?
Answer:
4.443*10^9
Step-by-step explanation:
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If 11% of people are left handed, and there are 484 students and 45 adults at our school, approxumately how many people are left handed?
Answer:440
Step-by-step explanation:
HELP!!! this is super important please help a boi out :/
Answer:
P=7
Step-by-step explanation:
7-3=4
4/2=2
therefore,
p=7
A circle has a radius of 12 cm. If the area is multiplied by 25, what happens to the radius?
Answer:
The radius is multiplied by 5.
Step-by-step explanation:
The radius of the circle is multiplied by 5 times the radius of the old circle
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the old circle be r₁
Now , the area of the old circle A₁ = π( r₁ )²
And , let the radius of the new circle be r₂
where area of new circle = 5 x area of old circle
And , A₂ = 25A₁ = π( r₂ )²
On simplifying , we get
25A₁ / A₁ = π( r₂ )² / π( r₁ )²
( r₂ )² = 25( r₁ )²
On further simplification , we get
Taking square roots on both sides of the equation , we get
r₂ = 5r₁
Therefore , the value of r₂ = 5r₁
Hence , the new radius is 5 times the old radius of circle
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You deposit $450 in an account that pays
6% interest compounded yearly. What is
the account balance after 6 years?
Answer:
638.33
Step-by-step explanation:
[tex]450(1+.06)^6[/tex]
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what is 26*46-14
[tex]26 \times 46 - 14 = [/tex]
Answer: 1182
Step-by-step explanation: