Answer:
36.869 or 36.87
Step-by-step explanation:
first, you find which trig function you are using. in this case, tangent.
then, you put calculate the arctan(3/4) which is 36.96989765
The measure of angle x = 36.9°
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."
What is sine angle?"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."
For given question
First we find the hypotenuse of the right triangle.
Let 'h' be the hypotenuse of the right triangle.
Using Pythagoras theorem,
[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]
We find the sine of angle 'x'
[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]
Therefore, x = 36.9°
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HELP! plz I can't find the aswer
An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting before the increase??
Answer:
$240
Step-by-step explanation:
60% = 0.6
400 divided by 0.6 = 240
please help ASAP!!!!!!!
Answer: the length of the base is 50 cm
Step-by-step explanation:
A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the rectangle.
Answer:
length = 9 in ; width = 4 in
Step-by-step explanation:
1) formula of the area of a rectangle
A = base x width
2) write an equation with the given informations:
w x (3w-3) = 36
3) solve the equation
- multiply W by 3w and -3
3w^2 -3w = 36
- divide the two members by 3
w^2 - w = 12
- add up -12 at the two members
w^2-w -12 = 12 -12
w^2 - w - 12 = 0
- find two numbers whose sum is -1 and whose product is -12 and factorise the equation
(w-4)(w+3) = 0
- find the two solutions
w-4 = 0
w = 4
w+3 = 0
w = -3
4)remember that a length can’t be negative.
w = 4 is the only solution
5) find the length
4x3 - 3 = 9
Choose the correct answer.
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%
answer:
Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
45 %
The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
How to determine the change in the rates?From the chart (table), we have the following rates in Germany:
Rate in 1970 = 27.42Rate in 1976 = 39.74The percentage change is then calculated using:
Percentage change= (Final - Initial)/Initial * 100%
This gives
Percentage change= (39.74 - 27.42)/27.42* 100%
Evaluate the quotient
Percentage change= 0.45* 100%
Evaluate the product
Percentage change= 45%
Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%
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Helpppp please and ty
Answer:
-2, -1, 0, 1
Step-by-step explanation:
you hover over the stars
I need the answers 5-8
HELPPPPPPPPPP :(
If there are two doors, each 36 inches wide.
Door A opened to 86° angle. Door B opened to 82°
which door's outer edge is farther from its closed position? and please explain it ♡
Answer:
B its B
Step-by-step explanation:
I need this pls help me
Answer:
that statement is true
is there some other question?
Answer:
it is true
Step-by-step explanation:
A cup and saucer together cost N$ 20.50 . A cup and two saucer cost N$ 27.00 . Find the cost of the cup and the saucer.
Answer: Cup-$14, Saucer-$6.5
Step-by-step explanation:
Given
Cup and saucer costs $20.5
A cup and two saucer costs $27
Assume the price of cup and saucer are x and y
So, we can write
[tex]\Rightarrow x+y=20.5\quad \ldots(i)\\\\\Rightarrow x+2y=27\quad \ldots(ii)[/tex]
Solving [tex](i)\ \text{and}\ (ii)[/tex] we get
[tex]x=\$\ 14, y=\$\ 6.5[/tex]
Thus, the cost of the cup is $14 and that of the saucer is $6.5
If x + y ≥ a, x - y ≤ -1, and the minimum value of z = x + ay = 7, what is a?
Answer:
A = -2.3
Step-by-step explanation:
Is 0.25 greater or less than 0.03?
Answer:
0.25 is greater than 0.03
Step-by-step explanation:
You can solve this simply by looking for the position of the decimal point.
For example, 0.30 is greater than 0.25, but 0.03 is less than 0.250.25 > 0.03
Answer:
Step-by-step explanation:
please help help help help !!!!! ASAP
Factorise
3у^2 - 54y + 243
Answer:
3(y-9)^2
Step-by-step explanation:
Answer:
See in the picture mark brainliest if correct
Help me please I will give u a lot of points answer quick
Answer:
In the first box: 24a
In the second box: +12
In the third box: 24a + 12
Step-by-step explanation:
For the first box, you're multiplying 3 times 8a. Since we don't know a, we leave it alone and just multiply the number next to it. So 3 x 8 = 24...3 x 8a = 24a
3 times a positive 4 is a positive 12 (this is kind of a weird way to write it, but area models are weird, imo.
It's just trying to show that you multiply the 3 by every part of what's inside the parentheses.
Fred kicks a ball with a force of 20n to George, who is 5m away. How much work was done to the ball
Answer:
100 Nm
Step-by-step explanation:
Work is said to be done when a force moves a body through a distance. This may be expressed as
work done = Force * distance
where
work done is measured in joules or Newton-meter
Force is measured in newtons and distance in meters
Substituting the given values,
Workdone = 20 * 5
= 100 Nm
= 100J
A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
T=21and u =4 what is \sqrt(t+U)
Answer: 5
Step-by-step explanation: 21 + 4 = 25
square root of 25 = 5
Answer and Step-by-step explanation:
T = 21
U = 4
[tex]\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5[/tex]
5 is the answer to the expression.
#teamtrees #PAW (Plant And Water)
From Monday through Friday Sydney works in the bookstore on one day and in the tutoring center where on another doing on Saturday and Sunday Sydney cooks food 50% of the days how many days does Sidney work in a week what percent of Monday through Friday does Sidney work
Answer: The other 50%
Step-by-step explanation:
What is the surface area of the prism below?
A
216 ft2
B
312 ft2
C
432 ft2
D
10,800 ft2
Poease help! Thank you
Answer:
28 and 12t
Step-by-step explanation:
4 x 7
4 x 3t
Answer:
28+12t
Step-by-step explanation:
Simplify the expression :)
btw you spelled please wrong
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
hi
Step-by-step explanation:
hope it helps
have a nice day
Answer:
3.14, 5.8, 0.3, negative 2
Step-by-step explanation:
3.14 is found bn 2 and 3 but very close to 3 u can just take 3.1 and for 5.8 it's bn 5 and 6 very close to 6 but not six , and we'll negative 2 is right on negative 2
Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?
Answer:
8
Step-by-step explanation:
If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100
Answer:
Length= squre root of area
Length of big poster = squre root of 144
=12
Length of small poster=squre root of 100
=10
The perimeter = 4*length
Big poster perimeter=4*12=48
Small poster perimeter =4*10=40
The difference= 48 - 40 = 8
It is bigger by 8
Please answer correctly! I will mark you Brainliest!
Answer:
d=18 feet
Step-by-step explanation:
The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],
[tex]972\pi =\frac{4}{3}\pi r[/tex]³
Divide [tex]\pi[/tex] from each side,
[tex]972=\frac{4}{3} r[/tex]³
Multiply each side by 3/4 to get rid of the fraction,
[tex]r[/tex]³[tex]=729[/tex]
Using the cube root, we find that 729 is actually a perfect cube.
[tex]r=9[/tex]
Now, the diameter is 2 times the radius, so
9×2=18
So, the measure of the diameter is 18 feet.
An archer hits a target 50% of the time. Design and use a simulation to find the experimental probability that the archer hits the target exactly four of the next five times.
MARK AS BRAINLEST FOR THE CORRECT ANSWER
Given:
An archer hits a target 50% of the time.
To find:
The experimental probability that the archer hits the target exactly four of the next five times.
Solution:
It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is
[tex]p=\dfrac{50}{100}[/tex]
[tex]p=0.5[/tex]
The probability of not hitting the target is
[tex]q=1-p[/tex]
[tex]q=1-0.5[/tex]
[tex]q=0.5[/tex]
Binomial distribution formula:
[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]
We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].
[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]
[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]
[tex]P(x=4)=5(0.5)^{5}[/tex]
[tex]P(x=4)=0.15625[/tex]
Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.
What is the median for the following data set? 5,7,9,11,13,13
A. 10
B. 8
C. 9
D. 11
Can someone help me with this. Will Mark brainliest.
Answer:
B (3, -4)
Step-by-step explanation:
A( -7, 2)
midpt ( -2, -1)
Equation:
(x + 5, y - 3)
Solve for B:
( -2, -1)
(x + 5, y - 3)
(3, -4)
A number of days, d, of sunshine is not 28.
Answer:
D<28
Step-by-step explanation:
The required inequality for the given situation can be, d > 28 or d < 28
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, write an inequality for the situation.
Situation :-
A number of days, d, of sunshine is not 28.
Here, the number of days is said to be not equal to 28, we are not given if is less or more,
It can be less or more than 28 but not 28
So, here we get two situations,
Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.
If we write these situations, mathematically, the inequalities we will have, are :-
1) The number of days, d, of sunshine is less than 28 :-
d < 28
2) The number of days, d, of sunshine is more than 28 :-
d > 28
Therefore, the two inequalities, are :- d < 28 or d > 28
Hence, the required inequality for the given situation can be, d > 28 or d < 28
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The complete question is :-
Write an inequality for the situation.
A number of days, d, of sunshine is not 28 .
the figures are similar find X
Answer:
X=14.4Step-by-step explanation:
As triangles are similar
The ratio of the sides must be equal
so..
[tex]\frac{x}{8} =\frac{9}{5}[/tex]
[tex]x=\frac{9*8}{5}[/tex]
[tex]x=14.4[/tex]
hope it helps...
have a great day!!
ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =
Answer:
1. 11
2. -13
3. -6
Step-by-step explanation:
Hope this helps. Have a great day! (I got this correct on edge :})
Can some plz help me