Answer:
[tex]80[/tex]° and [tex]10[/tex]°
Step-by-step explanation:
Complementary angles are a pair of angles whose measures have a sum of [tex]90[/tex]°. Therefore, if we let the measure of the bigger angle be [tex]x[/tex], then the measure of the smaller angle will be [tex]x-70[/tex] because we are given that the difference of the measures of the two angles is [tex]70[/tex]°. We can write the following equation to solve for [tex]x[/tex]:
[tex]x+x-70=90[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x-70=90[/tex]
[tex]2x-70=90[/tex] (Simplify LHS)
[tex]2x-70+70=90+70[/tex] (Add [tex]70[/tex] to both sides of the equation to isolate [tex]x[/tex])
[tex]2x=160[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{160}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=80[/tex] (Simplify)
Therefore, the measure of one angle is [tex]80[/tex]° and the measure of the other angle is [tex]x-70=80-70=10[/tex]°. Hope this helps!
We know, sum of complementary angles = 90°
Let, one of the angle = x°
∴ Another angle = (90 - x)°
As per condition,
(x°) - (90 - x)° = 70°
⇒ x° - 90° + x° = 70°
⇒ 2x° = 70° + 90° = 160°
⇒ x° = 80°.
So, angles are:-
x° = 80° (90 - x)° = (90 - 80)° = 10°.PLEASE HELP !!
c = 49 cm, a = 41°. Find B in degrees. Round to 2 decimal places.
Answer:
49.03 degrees
Step-by-step explanation:
c = 49, [tex]\alpha[/tex] = 41
We can solve for [tex]\beta[/tex] if we first find b.
Remember: SOH CAH TOA
Cosine = Adj/Hypotenuse
So, Cos (41) = b/49
49 x (Cos 41) = b
49 x .755 = b
b = 36.99
sin [tex]\beta[/tex] = Opp/Hyp = b/49 = 36.99/49 = .755
β = inverse sin (.755) = 49.03° (Inverse sin is designated by sin⁻¹ on your calculator)
The windows in an old cathedral are made up of 3,744 pieces of stained glass and 5,735 pieces of clear glass. Together, how many pieces of glass make up the windows?
Answer:9479
sorry if im wrong
Step-by-step explanation:
What is the perimeter of the triangle, the left diagonal side is 6.1in, the right diagonal side is also 6.1in, the bottom line is 7in, and there is a line in the middle from top to bottom which is 5in. What is the perimeter of the triangle?
Answer:
19.2 inches
Step-by-step explanation:
6.1 + 6.1 + 7 = 12.2 + 7 = 19.2
perimeter is the outside distance of the shape so you don't need to know the altitude (or height) equals 5.
please help me what is the answer?
Please help me
Which equation below best represents the relationship between corresponding values in the table above?
Answer:
D
Step-by-step explanation:
Answer:
Its D
Step-by-step explanation:
I was to lazy to provide an explanation
Due asap
Show workings please
Answer:
x= 11.4° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
I need to find the postulate
Ty ordered a storage pod in the shape of a rectangular prism to store some extra things at his house. The storage pod has a length of 9 feet and a height of 8 feet. If the volume of the storage pod is 504 cubic feet, what is the width of the storage pod?
A. 7 ft
B. 5 ft
C. 63 ft
D. 8 ft
You plan to purchase a plane ticket for $299.00 and you are going to use a discount code to
receive 15% off. How much will the ticket cost AFTER the discount?
Answer:
$44.85
Step-by-step explanation:
15/100 * $299.00= $44.85
the length and breadth of a rectangle are X + 4 cm and 8 cm respectively write down expressions for the perimeter of the rectangle and the length of the side of a square with the same perimeter
Jacob walks 1.5 miles north. He turns and walks 0.8 miles west. How far is he from his starting point?
Answer:
1.7 miles
Step-by-step explanation:
Given that,
Jacob walks 1.5 miles north.
He turns and walks 0.8 miles west.
We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :
[tex]x=\sqrt{1.5^2+0.8^2} \\\\x=1.7\ \text{miles}[/tex]
Hence, he is 1.7 miles from his starting point.
A 12-meter ladder leans against a building forming a 30° angle with the building.
Exactly how high is the ladder on the building in meters? Round to the nearest hundredth
(2 digits after the decimal).
Answer:
will show you two (2) ways to solve this problem.
A diagram is needed to see what is going on....
Without loss of generality (WLOG)
The wall is on the right. The ladder leans against the wall
with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).
The measure from the bottom of the ladder to the wall is 6.
Option 1:
The ladder, ground and wall form a right triangle.
The hypotenuse (ladder) is 14 feet.
The bottom of the ladder is 6 feet from the wall,
so the base of this right triangle is 6 feet.
The top of the ladder to the ground represents
the missing leg of the right triangle.
The pythagorean theorem applies, which says
6^2 + h^2 = 14^2 where h is the height
of the top of the ladder to the ground
36 + h^2 = 196
h^2 = 196 - 36
h^2 = 160
h = sqrt(160)
= sqrt(16 * 10)
= sqrt(16)* sqrt(10)
= 4*sqrt(10) <--- exact answer
= 4 * 3.16227766016838....
= 12.64911....
12.65 <--- rounded to 2 digits as directed
----------------------------------------------
Option #2: using trig
With respect to the angle formed by the bottom of the
ladder with the ground
cos T = 6/14 = 3/7
T = inverse-cosine(3/7) = 64.623006647 degrees
sin(64.623006647) = h/14
h = 14*sin(64.62300647) = 12.6491106 <--- same answer
hope this helps
Step-by-step explanation:
What is the solution to -32 + x = 53 ?
Answer:
positive 85
Step-by-step explanation:
need help ASAP please
9514 1404 393
Answer:
slope: -3y-intercept: -5equation: y = -3x -5Step-by-step explanation:
a) The slope (m) is given: -3.
__
b) The y-intercept (b) can be found from the slope (m) and the given point (h, k) using the relation ...
b = k -mh
b = 4 -(-3)(-3) = 4 -9
b = -5 . . . y-intercept
__
c) Of course, the slope-intercept equation is ...
y = mx +b
y = -3x -5
An airplane departs an airport and climbs to an altitude of 2,600 feet. The plane climbs 300 feet more to an altitude 2,900 feet. What number is the addictive inverse of the plane's height?
Answer:
hi, your answer is actually ,-2,900
Step-by-step explanation:
hope this helped!
pls help I will give thanks and mark brainiest
Answer:
2
Step-by-step explanation:
because if -3 was matched up with two before then you have to make it consistent and make sure that the pattern is continous.
Answer: 2
step by step explanation: -3 = 2
Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I, spent on in-state tuition for a randomly selected student has a mean of $2,523.75 and a standard deviation of $1,003.25. The amount, O, spent on out-of-state tuition for a randomly selected student has a mean of $3,825.00 and a standard deviation of $1,126.50.
Suppose we randomly select one student who pays in-state tuition and one student who pays out-of-state tuition.
Calculate the mean of the sum S = I + O.
μS = $227.69
μS = $1,301.25
μS = $1,508.48
μS = $6,348.75
Answer:
6,348.75
Step-by-step explanation:
Just add the means. It’s right, just did it!
Using statistical concepts, it is found that the mean of the sum S = I + O is of:
[tex]\mu_S = 6348.75[/tex]
What happens when two variables are added?When two variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.In this problem:
The mean of I is of [tex]\mu_I = 2523.75[/tex].The mean of O is of [tex]\mu_O = 3825.00[/tex].S is the sum of I and O, hence:
[tex]\mu_S = \mu_I + \mu_O = 2523.75 + 3825.00 = 6348.75[/tex]
You can learn more about operations with variables at https://brainly.com/question/26156502
In a community center 15 bottles are spaced evenly 12 cm apart from each other in a row for competition. What is the distance from the fourth bottles to the tenth bottles
Answer:
72cm
Step-by-step explanation:
From the 4th bottle to the 10th bottle there would be 6 gaps each of 12 cm as mentioned in the question.
Therefore, the total gap or distance between 4th and 10th bottles = 6*12 =
72cm
Solve 3x + 4(x + 6) = 45.
Answer:
x=3
Step-by-step explanation:
3x + 4(x + 6) = 45
Distribute
3x+4x+24 = 45
Combine like terms
7x+24 = 45
Subtract 24 from each side
7x+24-24 = 45-24
7x = 21
Divide each side by 7
7x/7 = 21/7
x=3
Answer:
x =3
Step-by-step explanation:
!!!! Help please whoever evaluates it I’ll give you Brainly
Answer:
733
Step-by-step explanation:
3*3 =9
3*3=9
3*3=9
9*9= 81*9= 729+4 = 733
Enter a value for x that makes the equation -2x + 10 + 4x = 70 true
Answer:
x = 30
Step-by-step explanation:
- 2x + 10 + 4x = 70, that is
2x + 10 = 70 ( subtract 10 from both sides )
2x = 60 ( divide both sides by 2 )
x = 30
What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?
Answer:
The value of "y" the would make the ordered pairs an inverse variation is;
y = 12
Step-by-step explanation:
The given ordered pairs are;
{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}
When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases
Mathematically, we have;
y ∝ 1/x
The above relation can be represented as an equation as follows;
y = k/x
Where;
k = The constant of proportionality
Therefore, k = y·x
From the given ordered, we have;
k = -2 × 18 = -36
k = 6 × 6 = 36
k = -18 × 2 = -36
k = 4 × 9 = 36
Therefore, the value of "k" is made constant as follows;
The inverse variation is y = k/(x × (-1)ⁿ)
Where;
n = The number of the term
Therefore, y = 36/(3 × (-1)²) = 12
y = 12
The given ordered pairs can therefore be written as follows;
{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.
Shreya's Bikes rents bikes for $15 plus $4
per hour. Kali paid $47 to rent a bike. For
how many hours did she rent the bike?
A) 8 B) 7
C) 11.75 D 9
Answer:
A, 8
Step-by-step explanation:
Use the equation 15+4x=47
Subtract 15 from both sides to get
4x=32
divide to get 8
x=8
Which one doesn't belong and why?
Answer:
The Bills
Step-by-step explanation: They aren't a football team
Answer:
The pirates dont belong belong because the rest are all football teams and that one is not
Step-by-step explanation:
Pirates
PLEASE HELP ME!!!! I’ll give Brainiest
Answer:
y=1/3x+2
do (6,0) and (0,2)
Step-by-step explanation:
Answer this question on the picture
Answer:
When one variable influences a change in another
Step-by-step explanation:
Causation means that one event causes another event to occur.
Find the value of x in the triangle. SU RV
Answer:
x = 8
Step-by-step explanation:
Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is
[tex]\frac{TS}{TR}[/tex] = [tex]\frac{TU}{TV}[/tex] , substitute values
[tex]\frac{x}{x+16}[/tex] = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = x + 16 ( subtract x from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
A. and D.
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0,4) (-2,-5)
Answer:
y=-9/2x plus 4
Step-by-step explanation:
y=ax plus b
Use points from the task.
4=0x plus b
so b=4
-5=-2a plus 4
-2a = -9
a = -9/2
y=-9/2x plus 4
Find the value of x in 4:x::x:16
Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as
[tex]\dfrac{4}{x}=\dfrac{x}{16}[/tex]
On cross multiplication, we get
[tex]4\times 16=x\times x[/tex]
[tex]64=x^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{64}=x[/tex]
[tex]\pm 8=x[/tex]
Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.
