Answer:
D
Step-by-step explanation:
So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.
Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 10.2 for the opposite side and 15 for the hypotenuse:
[tex]\sin(\theta)=10.2/15[/tex]
Solve for θ. Use a calculator:
[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]
The answer is D.
Consider the functions below. Which of the following statements describes the graph of function g? f(x)=x g(x)=1/5x A.The graph of g is one-fifth of a unit to the left of the graph of f. B. The graph of g is one-fifth of a unit to the right of the graph of f. C. The graph of g is five times steeper than the graph of f. D. The graph of g is one-fifth as steep as the graph of f.
Answer:
one fifth
Step-by-step explanation:
42
Answer:
The graph of g is one-fifth as steep as the graph of f.
Step-by-step explanation:
Write an equation in slope-intercept form for the line the road will follow. (The road is the dashed line.)
Answer:
x=6
Step-by-step explanation:
The crocodile river is y = 4
The road will intersect at ( 6,4)
We have two points on the line
(6,7) and (6,4)
The slope is
m = (y2-y1)/(x2-x1)
= (4-7)/ (6-6)
= -3/0
The slope is undefined
That means the equation is in the form
x=
Since the x coordinate is 6
x=6
PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?
Answer:
The answer is B)
[tex]y = - \frac{1}{2}x + 8[/tex]
Answer:
B. y = -[tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
The line is perpendicular to line whose equation is:
y = 2x + 4 and;
passes through point (4,6) .
The product slopes of two perpendicular lines is -1.
The slope of the line whose equation is y = 2x + 4 is; 2
Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]
[tex]m_{l2} * 2 = -1[/tex]
[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]
Taking another point xy on line l2;
[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]
Cross multiplying this gives;
y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!
solve for b in the mathematical formula A=1/2(a+b)h
Answer:
[tex]b = \frac{2A}{h} - a[/tex]Step-by-step explanation:
[tex]A = \frac{1}{2} (a + b)h[/tex]Multiply both sides by 2
We have
2A = (a + b)h
Divide both sides of the equation by h
That's
[tex] \frac{(a + b)h}{h} = \frac{2A}{h} [/tex]We have
[tex]a + b = \frac{2A}{h} [/tex]Move a to the right side of the equation to make b stand alone
We have the final answer as
[tex]b = \frac{2A}{h} - a[/tex]Hope this helps you
Find the volume (in terms of pi) of a sphere if it’s surface area is 100 pi ft2. PLEASE HELP ME
Hey there! I'm happy to help!
to find the volume of a sphere, you cube the radius, multiply it by 4/3, and then multiply it by π.
First, we have to find the radius. To find the surface area you square the radius and multiply it by 4 and then π.
Let's do that formula backwards on our surface area to find the radius.
We divide by π
100÷π=100
We divide by 4.
100÷4=25
We find the square root.
√25=5
Now, we use our radius in the volume formula.
5³=125
125×4/3=500/3
We multiply by π.
500/3π
Therefore, the volume of a sphere if its surface area is 100π ft² is 500/3π ft³.
Have a wonderful day! :D
Answer:
V=166.66[tex]\pi[/tex] ft³
Step-by-step explanation:
The surface area of a sphere is 4[tex]\pi[/tex]r²
100[tex]\pi[/tex]=4
100[tex]\pi[/tex]/4
25=r²
r=5
Now that we know the radius is 5, we can find the volume.
v=4/3[tex]\pi[/tex](5)³
v=(5*5*5*4)/3*[tex]\pi[/tex]
V=166.66[tex]\pi[/tex]
inscribed angles. help asap!
Answer:
20°
Step-by-step explanation:
The measure of the inscribed angle is equal to the half of the arc it sees
Since AC is the diameter the measure of arc ABC is 180°
and since A sees arc BC and C sees the arc AB
A< + C< = 90° so angle C = 20°
how do you solve this problem ? 4(-3x+1)-3x=71
Answer:
x = -67/15 = -4-46667
Step-by-step explanation:
4(-3x+1) - 3x = 71
4*-3x + 4*1 - 3x = 71
-12x + 4 - 3x = 71
-15x = 71-4
-15x = 67
x = 67/-15
x = -4.46667
check:
4(-3*-4.46667 + 1) - 3*-4.4666= 71
4(13.4+1) + 13.4 = 71
4*14.4 + 13.4 = 71
57.6 + 13.4 = 71
I am unable to find the answer to this pleas help me
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of 600 is 150
hope this helps
plz mark as brainliest!!!!!!
An_ is the set of numbers that include negative numbers
and the subset of_ numbers (...-3, -2, -1, 0, 1, 2, 3...). Also
described as positive numbers and their opposites and zero.
Blank 1:
Blank 2:
Answer:
Integer, rational
Step-by-step explanation:
An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!
Answer:
Step-by-step explanation:
The answer is integer. Integer are whole numbers that are either positive or negative including 0.
mister Limbu bought a bicycle for Rs2500 and he labelled it's price 20 Percent above the cost price if he allows 10percent disc
ount to a customer, find his profit percent
Answer: 8%
Step-by-step explanation:
Purchase Price is $2500
Ticket Price is $2500(1 + 20%)
= $2500(1.2)
= $3000
Discounted Price is $3000(1 - 10%)
= $3000(0.9)
= $2700
The profit made is $2700 - $2500 = $200
Profit Percentage is Profit ÷ Purchase Price: [tex]\dfrac{200}{2500}=0.8=\large\boxed{8\%}[/tex]
the adult human brain represents 2% of total body weight. write this percentage as a decimal.
Answer:
2% = 0.02Step-by-step explanation:
[tex]2\%=2\cdot\frac1{100}=\frac2{100}=0.02[/tex]
Answer:
2% as a decimal is 0.02
Step-by-step explanation:
∠4 and ∠6 can be classified as:
Answer:
same side interior angles
Step-by-step explanation:
<4 and <6 are same side interior angles
Same side interior angles are on the same side of the transversal and inbetween the two lines
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \sin(\theta_1)=\dfrac{1}{2}sin(θ 1 )= 2 1 sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction . What is the value of \cos(\theta_1)cos(θ 1 )cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Answer:
√3/2Step-by-step explanation:
Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.
Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.
Given sinθ₁ = 1/2
Take the arcsin of both sides
arcsin(sinθ₁) = arcsin(1/2)
The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;
θ₁ = arcsin(1/2)
Using the calculator, θ₁ = 30°
Since we are to find the value of cosθ₁
cosθ₁ = cos30°
cos30° = √3/2
Hence the value of cosθ₁ is √3/2
Answer:
60/61
Step-by-step explanation:
60/61
khan. #gayrights
PLEASE HELP:
On a number line, suppose point E has a coordinate of 5, and EG=4. What are the possible coordinates of point G?
The possible coordinates for G are ___
(Type integers or decimals. Use a comma to separate answers as needed.)
Answer:
G = 1, 9.
Step-by-step explanation:
There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Answer:
Step-by-step explanation:
Octagonal pyramid has 8 sloping faces and the base.
Total 9 faces.
Also 8 slope edges and 8 base edges
Total 16 edges.
It has 1 + 8
Total 9 vertices.
A Triangular prism has 5 faces and 9 edges.
Also 6 vertices.
Triangular pyramid has 4 faces, 4 vertices and 6 edges.
Note: The relation betseem faces, vertices and sdges in a polyhedron is given by Euler's formula:
T + V - E = 2
So we see, for an octagonal pyramid:
9 + 9 - 16 = 2.
4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?
Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
Anyone know the answer to this... Thanks
Answer:
coefficients are the number attached to the variables :75d+8w+25
75 , 8 and the constant is 25. the variables are d and w
if he works for 5 days(d) and installed 48 windows(w)
75 d + 8 w+25
75(5)+8(48)+25= 784 dollars
if Javier get increase of 40 dollars for snack, only the constant change, because the coefficient depends on work days and the number of windows installed, and since only the increase in his stipend, therefor the increase will be the constant value only.
How to do this question plz answer me step by step plzz plz
Answer:
[tex] \boxed{\sf Perimeter \ of \ semicircle = 3 \pi \ cm} [/tex]
Given:
Radius of semicircle (r) = 3 cm
Step-by-step explanation:
[tex]\sf Perimeter \ of \ semicircle = \pi r [/tex]
[tex] \sf = 3 \pi \: cm[/tex]
if the Diameter of a cicle is 28cm calculate the perimeter
Answer:
Simple. 28pi
// pi is [tex]\pi[/tex].
Which is 88.0 by rounding tenth
Step-by-step explanation:
Please pick me brainliest.
Hope it helps!
Answer:
88 cm
Step-by-step explanation:
Perimeter = πd
= (22/7)× 28
= 88 cm
Solve for x.
3(x + 2) = 12
x=2
x=33
x=4 2/3
x=6
Answer:
x=2
Step-by-step explanation:
3(x + 2) = 12
Distribute
3x+6 = 12
Subtract 6 from each sdie
3x+6-6 = 12-6
3x = 6
Divide by 3
3x/3 = 6/2
x=2
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 2
▹ Step-by-Step Explanation
3(x + 2) = 12
Distribute:
3x + 6 = 12
Subtract 6 from each side:
6 - 6 = 0
12 - 6 = 6
Rewrite:
3x = 6
Divide each side by 3:
3/3 = x
6/3 = 2
x = 2
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Mr.Snyder gave his four children $35 to split equally for each car they cleaned out. The children cleaned put 3 cars. Mr.Snyder does not have any coins. He only had dollar bills. How much money should each child get?
Answer:
$26 for each child
Step-by-step explanation:
35 * 3 = 105 / 4 = 26.25
Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and by degree. A.Third degree polynomial B.Fourth degree trinomial C.Second degree trinomial D.Sixth degree polynomial
Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)
Answer:
C) 6x³ - 24x² + 9x + 30
Step-by-step explanation:
(3x - 6)(2x² - 4x - 5)
3x • 2x² = 6x³
3x • -4x = -12x²
3x • -5 = -15x
-6 • 2x² = -12x²
-6 • -4x = 24x
-6 • -5 = 30
Combine terms.
6x³ - 12x² - 15x - 12x² + 24x + 30
Combine like terms.
6x³ - 24x² + 9x + 30
Learn with another example:
https://brainly.com/question/28001380
Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. How much money does Mr Lim have?
Answer:
Mr. Lim will have $2500
Step-by-step explanation:
Given:
The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;
Mr. Lim has $450 more than what Mr. Tan has;
Mr. Chan has double the amount of money than what Mr. Tan has.
Therefore, if we assume that the amount of money Mr. Tan has as x, then...
Total money = Mr. Tan + Mr. Lim + Mr. Chan
therefore,
8650 = x + (x + 450) + 2x
8650 = x + 2x + x + 450
8650 = 4x + 450
8650 - 450 = 4x
8200 = 4x
8200/4 = x
2050 = x
As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.
I hope this helped you :)
Please answer answer question now
Answer:
Area= 97.9 km²
Step-by-step explanation:
Angle at w = 180-119-34
Angle at w = 27°
Side XV= x
x/sin27= 26/sin119
x= sin27(26/sin119)
x= 0.454(26/0.8746)
x= 13.5 km
Side WX = y
y/sin 34= 26/sin119
y= sin34(26/sin119)
y= 0.559(26/0.8746)
y= 16.6 km
S= (16.6+13.5+26)/2
S= 56.1/2
S=28.05
Area = √(28.05(28.05-26)(28.05-13.5)(28.05-16.6))
Area=√(28.05(2.05)(14.55)(11.45))
Area=√(9579.772744)
Area=97.8763
Area= 97.9 km²
What’s the value of X
Answer:
Step-by-step explanation:
Use the Law of Sines for this. Set it up as follows:
[tex]\frac{sin(x)}{6}=\frac{sin(61)}{6.2}[/tex] Cross multiply:
6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:
[tex]sin(x)=\frac{6sin(61)}{6.2}[/tex]
Work on the right side first. Plug that into your calculator to get
sin(x) = .8464061682
Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:
[tex]sin^{-1}([/tex]
After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.
Solve for b.
ab+c=d
b=a+c/d
b= a/(c-d)
b = (d - c)/a
Answer:
[tex]b = \frac{(d-c)}{a}[/tex]
Step-by-step explanation:
ab + c = d
Subtract c from both sides
ab + c - c = d -c
ab = d - c
Divide both sides by 'a'
[tex]\frac{ab}{a}=\frac{d-c}{a}\\\\b = \frac{(d-c)}{a}[/tex]
Answer:
b = (d - c)/a
Step-by-step explanation:
just took this test
Five less than the product of a number and 6
A. 5-6n
B. 6(n-5)
C. 6n-5
D. 6(5-n)
Answer:
C. 6n - 5
Step-by-step explanation:
Hello!
A product of a number and 6 means we have to multiply a number by 6.
This can be shown by 6n.
Then 5 less means we subtract by 5.
We get the answer: 6n - 5
Hope this Helps!
Answer:
B) 6(n-5)
Step-by-step explanation:
Mark as Brainliest
expand (x-4)^4 with binomial theorem or pascal's triangle
Answer:
(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴
=x⁴-16x³+96x²-256x+256
the sum of n and the sum of 8 and 6"
Answer:
Its 14
Step-by-step explanation:
8+6=14
Answer:
The answer is 16
08
+ 06
----------
16
Hope it helps ;)
Please mark as brainliest
CAN ANYBODY HELP ME OUT
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
Side QS = RS (as given)[tex]\angle PSR = \angle PSQ = 90^\circ[/tex]Side PS = PS (Common side in both the triangles)Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that [tex]\triangle PRS \cong \triangle PQS[/tex]
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.