Answers
Answer: 40º
Step-by-step explanation:
To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.
The trigonometric function that relates opposite and adjacent sides is tangent.
[tex]tan=\frac{opposite}{adjacent}[/tex]
[tex]tan=\frac{21}{25}[/tex]
[tex]tan^-^1=40[/tex]
Related Questions
Cross multiplication method, find the value z and y for 3x + 5y = 70 and 7x-3y =60
Answers
Answer:
Y=7.05
X= 11.6
Step-by-step explanation:
Equate both equations to zero
3x+5y=70--------equation 1
7x-3y=60---------equation 2
From the equation above
a1=3, b1=5, c1=-70
a2=7, b2= -3, c2=-60
By applying the cross multiplication method
x/b1c2-b2c1= y/a2c1-a1c2= 1/a1b2-a2b1
x/(5)(-60)-(-3)(-70)=y/(7)(-70)-(3)(-60)=1/(3)(-3)-(7)(5)
x/-300-(-210)=y/-490-(-180)=1/-9(-35)
x/-510=y/-310=1/-44
x/-510=1/-44 , y/-310=1/-44
-44x=-510 , -44y= -310
x=11.6 , y=7.05
Thus, the value of x is 11.6 and the value of y is 7.05
Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.
What is the probability that the sequence is guessed on the first try?
StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third
Answers
Answer:
1/24
Step-by-step explanation:
i just took it
The probability that the sequence is guessed on the first try is 1/24.
ProbabilityTotal colors available for making code=4
Colors required for making code=3
Hence:
Total ways of making code=4p3=4!/(4-3)!
=4×3×2×1/1
=24
Probability that the sequence is guessed on the first try=1/Total ways of making code
Probability that the sequence is guessed on the first try=1/24
Therefore the correct option is A.
Learn more about probability here:https://brainly.com/question/24756209
#SPJ9
How does the graph change between point A and point C?
D
The graph increases, then decreases.
The graph decreases, then remains constant
The graph decreases, then increases.
The graph increases, then remains constant
Answers
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got 100% on a quiz
A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m,
to the nearest tenths place?
Answers
Answer:
301.4
Step-by-step explanation:
Volume of a cylinder=pi*[tex]r^{2}[/tex]*h. Assuming you want 3.14 for pi, we can substitue the 4m for r, 6 for h and 3.14 for pi.
V=3.14*[tex]4^{2}[/tex]*6
V=301.44
Since you want to round to nearest tenths, the answer is 301.4
The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Radius r = 4mHeight h = 6mVolume of the cylinder V = ?We substitute our values into the expression above.
V = π × r² × h
V = 3.14 × (4m)² × 6m
V = 3.14 × 16m² × 6m
V = 301.4m³
The volume of the cylinder with the given value of radius and height to the nearest tenth place is 301.4 cubic meters.
Learn more on volume of cylinder here: https://brainly.com/question/16788902
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space inside so they can also be used to store props.
Answers
Answer:no the answer is 0.045 m3
0, point, 045, start text, space, m, end text, cubed
Step-by-step explanation:
Natalie has $250 in savings. At the end of 6 months, she has $450 in savings. What is the percent increase in the amount of her savings?
Answers
80 percent. 80 percent of 250 is 200 and 250 increased by a total of 200 therefore 80%
Answer: 80%
Step-by-step explanation:
Rule of 3.
Let's put the money on the left side and the percents on the right side.
[tex]\frac{250}{450}=\frac{100}{x}[/tex]
Solve for x:
[tex]x=\frac{450*100}{250}[/tex]
[tex]x=180[/tex]
Subtract 100 from 180
180-100=80
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?
Answers
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
help me pls i dont know what to do
Answers
The answer is the last one: k = 5
Hope I helped and good luck!
An angle measures 39.2° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
x can be one angle, and (x-39.2) can be the other
x + (x-39.2) = 90
2x - 39.2 = 90
add 39.2 to both sides
2x = 129.2
divide each side by 2
x = 64.6
find the measure of the other angle
64.6-39.2 = 25.4
The measures of the angles are 64.6 degrees and 25.4 degrees.
Answer:
25.4 and 64.6Step-by-step explanation:
Suppose two complementary angles of measures x And y then
x + y = 90 and y = x - 39.2
if we plug in x - 39.2 instead of y in the equation x + y = 90 we get :
x + (x - 39.2) = 90
then
2x = 90 + 39.2
then
2x = 129.2
then
x = 129.2/2 = 64.6
therefore
y = 64.6 - 39.2
= 25.4
______________________________
:)
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
Answers
A baker has 88 muffins. He fills large boxes that hold 9 muffins each.Then, he puts the leftover muffins in a small box. How many muffins are in the small box.
Answers
Answer:
7
Step-by-step explanation:
The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m
Answers
Answer:
3.7096902=area
Step-by-step explanation:
2.1x1.4=2.94m^2
2.94+(.5pi(.7^2))
6-129. Nick represented the equation 3(2x+4)=-6 on the Equation Mat below. Choose a strategy to solve for x. You may continue to use algebra tiles, or you may use symbols on paper.
Answers
Answer:
x = -3
Step-by-step explanation:
You have the following equation:
[tex]3(2x+4)=-6\\[/tex]
you first you distribution property in order to eliminate the parenthesis:
[tex]3*2x+3*4=-6\\\\6x+12=-6[/tex]
next, you subtract 12 in both sides of the equation:
[tex]6x+12-12=-6-12\\\\6x=-18[/tex]
Finally, you divide the equation by 6 and simplify:
[tex]\frac{6x}{6}=-\frac{18}{6}\\\\x=-3[/tex]
hence, the solution to the equation is x = -3
Three is what percent of 600
Answers
Answer:
0.5.
Step-by-step explanation:
WILL GIVE BRAINLIEST PLEASE HELP!
Answers
Answer:
A. is 5. B. is 1.C. is 4.D. is 2.E. is 3.F. is 6.Step-by-step explanation:
Slope is rise over run.
For example, 2 is equivalent to 2/2 so you find the graph that has a point at (2, 2).
Hope this helps :D
Which solution is possible: 7+x <19
x=4
x=12
x=13
x=19
Other:
Answers
Answer:
x = 4
Step-by-step explanation:
Note that it is only less than, not less than or equal too. Numbers that are 11 & less are the only ones that work.
x = 4 is your only answer choice that is less than 11, therefore is your only answer.
~
Answer:
none of the above, you need a lesser number
Which student wrote an equation with a solution of x = -8
Jenna: -3 ( x - 9 ) = -3
Archer: 4 ( 2x - 16 ) = 16
both
neither
jenna
archer
Answers
Answer:
Neither
Step-by-step explanation:
Both equations are x=10
what is 7/4 - (-1/4)
Answers
Answer:
2
Step-by-step explanation:
7/4 - (-1/4)
Subtracting a negative is adding
7/4 + 1/4
8/4
Simplifying
2
Graph the inequality of y less than or equal to2x + 2?
Answers
First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.
Q1: Tyson is taking his basketball team to watch a college basketball game. He bought 8 tickets for $168 $ 168 . One parent bought her son's ticket separately and paid $24 $ 24 . Who had the better deal?
Answers
Answer:
Tyson had the better deal
Step-by-step explanation:
We simply want to know who paid less for the ticket.
Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.
The cost of each ticket is therefore:
168 / 8 = $21
He paid $21 for each ticket.
The parent bought her son's ticket for $24.
Therefore, Tyson had the better deal because he paid $3 less than the woman.
1: which equation represents a linear function? a y= 4 x +1 b y=x2+2 c y=3 √ x+1 d y=- 2 3 x- 1 2
Answers
Answer: A
Step-by-step explanation:
a.) [tex]y=4x+1[/tex]
b.)[tex]y=x^2+2[/tex]
c.)[tex]y=3\sqrt{x+1}[/tex]
d.)[tex]y=-2(3x-1)^2[/tex]
choices b and d are quadratic
choice c is a square root function
so the answer is a
let me know if i types the answers incorrectly
Simplify the complex fraction.
Alw
2 3/4 1 1/8
Answers
Answer:
= 99/32
Step-by-step explanation:
2 3/4 1 1/8
= 11/4 * 9/8
= 99/32
A cone with height of 6 feet and volume of 86 feet cubed.
Answer the questions to find the base area of the cone.
Which equation substitutes the given values into the formula for the corresponding variables
Answers
Answer:
The formula is 86=1/3B (6)
The base area is 43.00 square feet
Step-by-step explanation:
V is 86 so that goes in spot, hv to divide 1/3 and hv to find B so last spot is putting in height which is 6. That makes equation
Solving equation
86=(1/3) B(6)
Divide 6 by 1/3
(3/1) 1/3 = 6 (3/1)
86 = 2pi *
43.00 square feet
Im not sure if the solving part of the equation is completely correct, but answers for both are correct. C;
Answer:
both of the answers are C
Step-by-step explanation:
Find the area
Please help me thank you!
Answers
Answer:
area = 12
Step-by-step explanation:
factor: 10xsquared -11x-6=
Answers
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answers
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
Read more about coordinates at:
https://brainly.com/question/17206319
What is the area of the circle with a D equals 10
Answers
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
SC Bookmarks
3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is
Answers
Answer:
Step-by-step explanation:
6 - 2x = 5x - 9x + 10 {add the like terms}
6 - 2x = - 4x + 10 {add (-6) to both side}
6 - 2x - 6 = - 4x + 10 - 6
-2x = - 4x + 4 {add 4x to both sides}
-2x + 4x = -4x + 4 + 4x
2x = 4 {divide both sides by 2}
2x/2x = 4/2
x = 2
Solve the equation.
29= p x 20
p= __
Answers
Answer:
1.45
Step-by-step explanation:
1. divide both sides of the equation by 20 to get rid of the 2o on the right side
[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]
now u end up with 1.45=p
hope it helped
What term must we add to complete the square on x^2 + 12x
Answers
Answer:
Step-by-step explanation:
You need to first find what x equals before you can solve the equation.
Answer:
36
Step-by-step explanation:
x^2+2xy+y^2
12x/2x=6=y
y^2=36
