Answers
Answer:
Step-by-step explanation:
Question 13.
By applying cosine rule,
cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{10}{y}[/tex]
y = 10√2
By applying sine rule,
sin(45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{x}{y}[/tex]
[tex]\frac{1}{\sqrt{2} }=\frac{x}{10\sqrt{2} }[/tex]
x = 10
Question 15.
By applying sine rule,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{y}{32}[/tex]
y = 16√3
By applying cosine rule,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{32}[/tex]
x = 16
Question 17.
By applying sine rule,
sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{11\sqrt{3} }{y}[/tex]
y = 22
By applying cosine rule,
cos(60°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{2}=\frac{x}{y}[/tex]
[tex]\frac{1}{2}=\frac{x}{22}[/tex]
x = 11
Related Questions
You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible average amounts of money that you can save per week in order to have a total of at least $1800 saved?
Answers
Answer:
$92.86
Step-by-step explanation:
Since it's AT LEAST 1800, the inequality sign would be ≥ 1800
Equation:
500 + 14x ≥ 1800
14x ≥ 1800 - 500
14x ≥ 1300
x ≥ 92.86
Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?
Answers
Answer in scientific notation: 8.3x10^-3
You cannot evaluate the square root of a __________________________. a. Positive number b. Negative number c. Zero d. Variable
Answers
Answer:
B, a negative number. negative numbers can't have square roots
Step-by-step explanation:
Hope this helps :)
Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.
Answers
Answer:
3
Step-by-step explanation:
24
Answer:
5×2=10
10/2=5
5yd2
mark brainliest pleaseeeeee
What is 2x^3 if x=3?
Answers
Answer:
2^3 when x=3
2*3^3
6^3
6*6*6
36*6
=192Step-by-step explanation:
If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?
Answers
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector
Answers
Answer:
0.3696 radian
21.178°
Step-by-step explanation:
Given :
Radius, r = 22 yards
Area of Sector = 89.45 yd²
Approximate angle of the sector :
Area of Sector = 1/2 * θ * r²
89.45 = 1/2 * θ * 22²
89.45 = 0.5 * 484 * θ
89.45 = 242θ
θ = 89.45 / 242
θ = 0.3696 radian
Radian to degree
0.3696 * 180 / π = 21.178°
Solve the problem below by finding a common denominator 1/3 - 1/5
Answers
Answer:
2/15
Step-by-step explanation:
1/3-1/5
5/15-3/15
= 2/15
Answer:
hi
Step-by-step explanation:
[tex] \frac{1}{3} - \frac{1}{5} = \frac{5}{15} - \frac{3}{15} = \frac{2}{15} [/tex]
have a nice day
[tex](x + y) ^{2} [/tex]
Answers
Answer:
Step-by-step explanation:
(x + y) 2
x2 + 2xy + y2
Answer:
Step-by-step explanation:
This is an example of "the square of a binomial." There is a formula for such cases;
(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)
Thus, our (x + y)^2 = x^2 + 2xy + y^2
What is the equation of the line shown in the graph?
Answers
Answer:
-6
Step-by-step explanation:
I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.
Your answer would be: y = -6x + 7 [if your question is asking for the slope intercept form]
OR
Your answer would be: -6 [if your question is asking for just the slope]
Solve (x-5)^2=3
Please help
Answers
A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height of the cone in terms of y.
Answers
Answer:
h = 16x
Step-by-step explanation:
The volume of a sphere and a cone is same such that,
[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]
We have, r = x, R = (1/2)x, h= ? (height of the cone)
So,
[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]
So, the height of the cone is equal to 16x.
What is the slope of the line that passes through
the equation -6x - 4y = -5?
Answers
-6x-4y=-5
We have to get here —> y=mx+b ,so
-4y=6x-5
-y=6/4x-5/4
-y=3/2x-5/4
y=-3/2x+5/4
And the slope = -3/2
The DrJocker
O D) 96
10) What is the value of the expression 16 + 24 = 2^3x3 - 8
1 point
A) 7
B) 9
C) 17
D) 20
1 point
ncion is equivalent to b+b+b+b? *
Answers
A bottel holds z ounces of water a second bottel holds 16 onces witch is 8/5 times as much warter how much does the frist bottel hold
Answers
Answer:
The first bottle holds 10 ounces of water.
Step-by-step explanation:
The bottle holds z ounces.
The second bottle holds 16 ounces, which is 8/5 times the first, which is z.
How much water does the first bottle holds?
[tex]\frac{8z}{5} = 16[/tex]
[tex]8z = 16*5[/tex]
[tex]8z = 80[/tex]
[tex]z = \frac{80}{8}[/tex]
[tex]z = 10[/tex]
The first bottle holds 10 ounces of water.
Literal Equations:
Solve the equation for the indicated variable.
a−c=d−r, for c
Group of answer choices
c=−d+r+a
c=d−r/a
−c=d−r−a
c=d−r+a
Answers
Answer:
−c=d−r−a
Step-by-step explanation:
if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.
An equation is shown. n+ 5 = 23 What is the value for n that makes the equation true?
no links
Answers
Well, it’s pretty obvious as the it‘s basically 23-5
What is the range of ordered pairs represented on the graph?
Answers
Answer:
Step-by-step explanation:
1st. (4,6)
2nd. (-6,-2)
3rd. (8,4)
4th. (-4,-10)
A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
165 cm3
270 cm3
348 cm3
26 cm3
Answers
Answer:
270 cm3
Step-by-step explanation:
The volume of the given rectangular prism is 270 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have
Length = 9 cm
Width = 2 cm
Height = 15 cm
Using the formula for volume of the rectangular prism
= length x width x height
= 9 x 2 x 15
= 270 cm³
Thus, the volume of the given rectangular prism is 270 cm³.
Learn more about Volume here:
https://brainly.com/question/15117197
#SPJ7
Juanita is a basketball player who makes
75
%
75%75, percent of all free-throws she attempts. We can assume that the results of her free-throw attempts are independent from each other.
Which of the following choices are binomial random variables?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Juanita shoots a series of free-throws until she makes
5
55 free-throws. Let
S
=
S=S, equals the number of shots it takes.
(Choice B)
B
Juanita shoots a series of free-throws until she makes a free-throw. Let
T
=
T=T, equals the number of shots it takes.
(Choice C)
C
Juanita shoots a series
5
55 free-throws. Let
M
=
M=M, equals the number of free-throws she makes.
Answers
Answer: Juanita shoots a series 5 free-throws. Let M = the number of free-throws she makes.
Step-by-step explanation: Khan
HELP DUE IN 10 MINS! Solve for x in the parallelogram below:
x=??
Answers
Answer:
x = 10
Step-by-step explanation:
The opposite angles in a parallelogram are congruent, then
5x - 9 = 3x + 11 ( subtract 3x from both sides )
2x - 9 = 11 ( add 9 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Find the distance between points B and C on the graph. A) 5 B) 17 C) 5 D) 34
Answers
Answer: 3 to the right 5 going up i hope that can help a little bit
Step-by-step explanation: plz make brainly
Answer:
d
Step-by-step explanation:
took test
Perimeter is used to find the
A: distance from a ceiling to the floor
B: amount of blacktop on a playground
C: amount of floor space covered by a carpet
D: distance around the edge of a swimming pool
Answers
Answer:
D: distance around the edge of the swimming pool
Step-by-step explanation:
perimeter is the distance around something.
Step-by-step explanation:
Perimeter is used to find out the boundary of any thing or figure...So,
Option D Distance around the edge of a swimming pool. is correct answer.
write a linear equation using y=mx+b
Answers
Slope-intercept equation from graph
Find the equation of the line.
⚠️WILL GIVE BRAINLIEST⚠️
Answers
Slope = Δy/Δx = (4-0)/(0-(-2)) = 2.
And as we conveniently just noted, when x = 0, y = 4. So, the slope-intercept form of the equation of this line is y = 2x + 4.
No links!
Factor 5/6 out of 5/6z+15
Answers
Answer:
5/6z+15
heart if it helped!
In ΔEFG, the measure of ∠G=90°, GE = 40 feet, and EF = 44 feet. Find the measure of ∠F to the nearest degree.
Answers
Answer:
42°
Step-by-step explanation:
It is always good to draw a picture to help you. In this case
tan F = 40/44
m∠F = arctan (40/44) = 42°
help me i give brainliest.
Answers
- 9 -9
301 >_ 35x
/35 /35
8.6 >_ x
Since 8.6 is not a whole number, the answer for the second part is
X<_(less than or equal to) 8
Plz help ASAP I will mark u branliest
Answers
Answer:
5.k=3
7.p=4
Step-by-step explanation:
5.7=2k+1
7=2k+1 subtract 1 on both sides
6=2k divide by 2 on both sides
k=3
7. 11=4p-5
11=4p-5 add 5 to both sides
16=4p divide by 4 on both sides
p=4
Answer:
5: k=3
7: p=4
Step-by-step explanation:
5: sub 1 from each side divde by 2
7: add 5 to both sides divide each side into 4
PLSSSS DO NOT GIVE ME FILES
Read the sentences.
Some people train by climbing and swimming. Others train with running, biking, and weightlifting.
Select the sentence that correctly combines these sentences using semicolons.
Some people train by climbing and swimming, others train with running; biking; and weightlifting.
Some people; train by climbing and swimming, others train with running, biking, and weightlifting.
Some people train by climbing and swimming; others train with running; biking; and weightlifting.
Some people train by climbing and swimming; others train with running, biking, and weightlifting.
