khan academy, law of sines
Answer:
m∠B = 76°
Step-by-step explanation:
[tex]\frac{sinB}{b}=\frac{sinC}{c}\\\\sinB=\frac{sinC}{c}(b)\\\\B=sin^{-1}(\frac{sin(29)}{9}(18))\\\\B=75.8=76[/tex]
Therefore, m∠B = 76°.
cosy/1-siny = 1+siny/cosy
varify using trig identity.
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]
On the left, we can multiply both layers by (1 + sin(y)):
[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]
Multiply:
[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]
From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:
[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]
Cancel:
[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]
Hence proven.
Ariana spent a quarter of her allowance on sweets and she put one third of the remainder in her piggy bank. If she had twenty dollars left, what was her allowance
Answer:
$40
Step-by-step explanation:
Ariana spent a quarter of her allowance
1 - 1/4 = 3/4 was left
put one third of the remainder in her piggy bank
1/3 * 3/4 = 1/4
She spent 1/4 and piggy banked 1/4
so the $20 she had left was half her allowance.
allowance was $40
Ariana gets a very large allowance!
Solve the triangle. Round decimal answer to the nearest tenth...
Answer:
DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°
Step-by-step explanation:
use pythagorean theorem:
DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1
use inverse tangent function:
∠E = [tex]tan^{-1}[/tex](14/8) ≈ 60.3°
∠D = [tex]tan^{-1}[/tex](8/14) ≈ 29.7°
Answers:
side DE = 16.1 unitsangle E = 60.3 degreesangle D = 29.7 degreesThe "units" and "degrees" portions of the answers are likely to be left out.
===============================================
Explanation:
Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE
a^2+b^2 = c^2
c = sqrt(a^2+b^2)
c = sqrt(8^2+14^2)
c = 16.124515496597
c = 16.1 is the approximate length of side DE
----------------------------------
We'll use the tangent ratio to find angle E
tan(angle) = opposite/adjacent
tan(E) = FD/FE
tan(E) = 14/8
E = arctan(14/8)
E = 60.2551187030578
E = 60.3 degrees
The notation arctan is the same as inverse tangent. You should have a [tex]\tan^{-1}[/tex] button on your calculator to help compute the inverse tangent.
-------------------------------------
We could use the tangent ratio to solve for angle D, by noting that
tan(D) = 8/14
or we could use the idea that D+E = 90 which solves to D = 90-E
D = 90-E
D = 90-60.3
D = 29.7 degrees
Note how arctan(8/14) = 29.74488 which rounds to 29.7
Which type of graph would be best for showing the height of a sapling tree over the span of several weeks?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
its actually d
Step-by-step explanation:
it compares height to time
can someone help me?
(2x+8)(2x+2)
[tex] 4 {x}^{2} + 20x + 16[/tex]
Step-by-step explanation:
[tex](2x + 8)(2x + 2) \\ = 2x(2x + 2) + 8(2x + 2) \\ = 4 {x}^{2} + 4x + 16x + 16 \\ = 4 {x}^{2} + 20x + 16[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Use mapping notation to descrittranslation left 3 units and down 5 units.
A (x) → (x - 3,75)
B. (x, y) = (x +3. y-5)
C. (x,y) → (x - 3, y + 5)
D. (x,y) → (*- 5.y+3)
Please select the best answer from the choices provided
A
B
С
D
WHATS THE ANSWER
Answer:
Step-by-step explanation:
Which of the following options correctly describes the graph below?
a) greatest integer function
b) “one-to-one” function
c) piecewise function
d) “many-to-many” function
A car can drive 30 miles in 25 minutes. How many miles could it drive in 75 minutes?
Answer:
90
First, divide: 75/25=3
Last 3x 30= 90
or
30
x 3
--------
90
What is the area of the right triangle below?
12
15
A. 15 sq. units
B. 180 sq. units
C. 17 sq. units
D. 90 sq. units
d
Step-by-step explanation:
s=(axh)/2
Answer:
90 sq.unitsStep-by-step explanation:
1/2 base times height.
2x + (-x) + 5 + (-5) =
Answer:
X
Step-by-step explanation:
2x-x=x
5-5=0
Answer:
[tex]2x + (-x) + 5 + (-5) = x[/tex]
Step-by-step explanation :
Remove Parenthesis :
[tex]2x - x + 5 - 5[/tex]
Add similar elements :
[tex]x + 5 - 5[/tex]
Add them up :
[tex]5 - 5 - 0 = x[/tex]
please help :)
I hope that I can get helped
Answer:
a = 8,059.52 m²
Step-by-step explanation:
Area of square
a = s²
a = 56²
a = 3,136
--------------------
Area of circle
a = πr²
a = 3.14(56/2)²
a = 2,461.76
Area of 4 semicircles = area of 2 circles
a = 2,461.76 * 2
a = 4,923.52
-----------------------
Total area
a = 3,136 + 4,923.52
a = 8,059.52 m²
Please help I’ll give brainliest
Answer:
Step-by-step explanation:
A)0.000421m^2
C)25000L^2
B)9300000g^2
D)0.001439km^2
PLEASE HELP ASAP!! DUE TONIGHT!! THANKS
EXPLANATION = BRAINLIEST
Question 4 options:
A figure with an area of 84 square cm is dilated by a factor is 2. The area of the dilated figure is ___ square cm.
Answer:
what ever sides are multiply the points by 2 each (x time 2, y times 2) Best I got. Hope this helps some
Step-by-step explanation:
figure out the sides then:
Ex. Perform a Dilation of 4 on point A (2, 3) which you can see in the picture below. Multiply the coordinates of the original point (2, 3), called the image, by 4. Image's coordinates = (2 * 4, 3 * 4) to get the coordinates of the image (8, 12).
Since this is the area x 2, multiply 84x2
Which of the following is a solution to the system of nonlinear equations
below?
A. (0,0)
B. (3,0)
C. (3,0)
D. (0,3)
PLEASE HELP :)
First to answer get brainliest
Which set of steps shows the solution to the equation 2y = -8?
1) y = -8 - 2; y = 6
2) y=-8=(-2); y = 4
3) y = -8 = 2; y = -4
4) y = -8 - (-2); y = -6
[tex]3) \: y = \frac{ - 8}{2} ; \: y = - 4[/tex] ✅
Step-by-step explanation:
[tex]2 \: y = - 8 \\ ⇢ y = \frac{ - 8}{2} \\ ⇢ y = - 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the value of y
Answer:
64-degree ( Alternate angles)
Answer:
y = 64 degree
Step-by-step explanation:
angle y = 64 degree (being alternate interior angles)
y° = 64°
Please help!!!!!!! 50 points!!!!!
The figure is made up of a cylinder and 2 cones. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A cylinder and 2 cones. All have a radius of 2 millimeters. The cones have heights of 4 millimeters and 2 millimeters, and the cylinder has a height of 5 millimeters.
Recall the formulas V = B h and V = one-third B h
millimeters cubed
Answer:
96.29 mm^3
Step-by-step explanation:
Cylinder
V = pi r^2 h
V = 3.14 ( 2)^2 ( 5)
V = 3.14 *4*5
V =62.8 mm^3
Cone
V = 1/3 pi r^2 h
V = 1/3 (3.14) 2^2 ( 4)
V =1/3 (3.14) 4*4
V =16.746666666 mm^3
There are 2 cones so multiply by 2
Both cones = 33.493333333333 mm ^3
Add the cones and the cylinder together
62.8+33.493333333 =96.293333333
Rounding to the nearest hundredth
96.29 mm^3
A clothing store donated a percent of every sale to hospitals. The total sales were $8,500 so the store donated $510. What percent of $8,500 was donated to hospitals? % of the total sales were donated. (Type a whole number or a decimal.)
pls help!!
Answer:
6%
Step-by-step explanation:
8,500(x) = 510
x = 510/8,500
x = 0.06
x = 6%
A clothing store purchases T-shirts for
$4.00 each and then marks up the price
of each by 55%. What is the markup and
new price of each T-shirt?
Answer:
The mark up is $2.20 and the new price of each T-shirt is $6.20.
Step-by-step explanation:
Before we find the new price of each T-shirt we must find the markup (by how much were raising the price).
The problem states each T-shirt costs $4.00, but then marks up the price of each by 55%.
Step 1 would be to find 55% of $4.00.
0.55 * 4 = 2.2
So that is the mark up, the price is going up by $2.20. To find the new price of each T-shirt, you take that $2.20 and add it to the original $4.00.
$4.00 + $2.20 = $6.20
So the mark up is $2.20 and the new price of each T-shirt is $6.20.
What is the mean, Median, Mode and Range of 8, 10, 3, 9, 12, 4, and 3
Write the word sentence as an inequality.
Then solve the inequality.
Five more than a number x is less than 17.
An inequality that represents this word sentence is x+5<17
The solution is ?
Answer:
x≤11
Step-by-step explanation:
x+5<17, I can subtract 5 on both sides so
x+5<17
-5 -5
x<12
that's wrong though because my x needs to make my answer less than x to make the statement true since we're looking for a value that is less than 17 not less than or equal to 17. So in conclusion, if x≤11 ( if x is less than or equal to 11), my statement will be true because 11+5<17=16<17, which is true. Even 10 or less is fine because it will still be smaller than 17 and that will keep my statement balanced.
You burn a log on a fire. You use the fire to warm yourself and to light up the
room to read a book. Which energy transformation is taking place?
O A. Thermal energy is transformed to light energy and chemical
energy
B. Chemical energy is transformed to nuclear energy and thermal
energy
C. Nuclear energy is transformed to potential energy and thermal
energy.
D. Chemical energy is transformed to light energy and thermal
energy.
: D. Chemical energy is transformed to light and thermal energy
given the right triangle below what is x?
Triangle side #1 is 4
Triangle Side #2 is 10
Answers:
A.9.2
B.10.8
C.84
D.116
Answer:
B 10.8 or
A 9.2 depending on what side of the triangle is "x".
Step-by-step explanation:
we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).
but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).
then by using Pythagoras
c² = a² + b²
=>
x² = 10² + 4² = 116
x = sqrt(116) = 10.8
but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.
for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this
10² = x² + 4²
x² = 10² - 4² = 84
x = sqrt(84) = 9.2 (and answer A would be correct).
or if the Hypotenuse is the side with 4, then
4² = x² + 10²
x² = 4² - 10² = -84
x = sqrt(-84)
and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.
three dimensions
A Pentagon has
A. zero measurements
b. two measurement's
c. three measurements
d. one measurements
Answer:
one measurement
Step-by-step explanation:
hope it's helpful for you ☺️
What goes to answer help
Answer:
1/1.27
Step-by-step explanation:
find the value of x.
Answer:
x = 7
Step-by-step explanation:
9x + 4 + 113 = 180
9x + 117 = 180
9x + 117 - 117 = 180 - 117
9x = 63
9x ÷ 9 = 63 ÷ 9
x = 7
Answer:
9x + 4 + 180 + 113=360
9x + 297=360
9x=360-297
9x=63
9x÷9=63÷9
x=7
URGENT!!!
Select the correct answer.
A population has a standard deviation of 25.29. What is the approximate standard error of the mean for a sample size of 175?
The answer is 1.91 but can someone show me how they got that answer?
Will mark brainliest
Answer:
Standard error of the mean: 1.91
Step-by-step explanation:
The standard error of a sample mean is [tex]SEM=\frac{\sigma}{\sqrt{n}}[/tex] where [tex]\sigma[/tex] is the sample standard deviation and [tex]n[/tex] is the sample size. Therefore, the standard error of the mean for a sample size of 175 is [tex]SEM=\frac{\sigma}{\sqrt{n}}=\frac{25.29}{\sqrt{175}}=1.911744304\approx1.91[/tex]
f(x)=(41)x
Exponential growth or Exponential decay
Answer:
growth
Step-by-step explanation:
If c+di is a point on the circle, then
|c + dil=