Answer:
x=28
Step-by-step explanation:
[tex]\huge\bold{To\:find:}[/tex]
✎ The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Since it is right-angle,
[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]
[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Simplify each expression
Answer:
a) 2x + 6y + 7x
9x + 6y
b) 3a + 8b + 5a
8a + 8b
c) 6u + 3v - 2u
4u + 3v
d) 9p + 8q - p
8p + 8q
e) 2m + 5n + 4m + 3n
6m + 5n + 3n
6m + 8n
f) 6u + 9v + u + 3v
12v + 6u + u
12v + 7u
g) 8b + 7c + 3b - 2c
8b + 3b + 5c
11b + 5c
h) a + 2b + a - b
2a + 2b - b
2a + b
i) 5a + 2b - 5a + 6b
8b + 5a - 5a
8a
h) 9p + 3q - 2p - 3q
7p + 3q - 3q
7p
what is the speed of a bus that travels 350km in 5 hours
Answer:
We need to make it a unit rate.
350/5
70/1
70km per 1 hour
Answer:
70km
Step-by-step explanation:
350÷5 =70
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)
The perimeter of a rectangular field is 344m . If the length of the field is 93m , what is its width?
Answer:
width is 79 m
Step-by-step explanation:
P = 2l + 2w
344 = 2(93) + 2w
344 = 186 + 2w
158 = 2w
w = 158/2
w = 79
90%in the SIMPLEST form
Answer:
[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]
Answer:
The simplest form of
90/100
is
9/10
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 90 and 100 is 10
Divide both the numerator and denominator by the GCD
90 ÷ 10
100 ÷ 10
Reduced fraction:
9
10
Therefore, 90/100 simplified to lowest terms is 9/10.
I need help finding the lentlgth form a to c.
Hi there!
[tex]\large\boxed{AC \approx 483 ft}}[/tex]
AC is the hypotenuse, so we can use a trig formula to solve.
We are given the adjacent side, AB, so we must use cosine. Recall that:
cosθ = A/H
Thus:
cos(21.3) = 450 / H
Rearrange:
H = 450 / cos(21.3)
Use a calculator to evaluate:
H = 482.99 ≈ 483 ft.
Answer:
AC ≈ 483
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos21.3° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{450}{AC}[/tex] ( multiply both sides by AC )
AC × cos21.3° = 450 ( divide both sides by cos21.3° )
AC = [tex]\frac{450}{cos21.3}[/tex] ≈ 483 ( to the nearest whole number )
Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?
Answer:
324.13°
Step-by-step explanation:
Applying,
cosA = 4/5
To find the value of A, we find the inverse of the cosine of both side,
(cosA)cos⁻¹ = cos⁻¹(4/5)
A = cos⁻¹(0.8)
A = 36.87° (First quadrant)
The above value of A is its value in the first quadrant
To find the value of A in the fourth quadrant, we use the expression
∅₄ = 360-∅₁............... Equation 1
Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.
Therefore,
∅₄ = 360-36.87
∅₄ = 324.13°
Hence the value of A in the fourth quadrant is 324.13°
I need help! please!
Answer:
43
Step-by-step explanation:
we have two rectangles so we will divide them into 2.
first rectangles is 7m and 4m. 7 x 4 = 28
2nd rectangles is 3m and 5m 3 x 5 = 15
15 + 28 = 43.
Recommendations
Skill plans
Math
Languag
Algebra 2
> Q.2 Translations of functions F6J
Find g(x), where g(x) is the translation 6 units right of f(x) = x.
Write your answer in the form mx + b, where m and b are integers.
g(x) =
=
Answer:
y= (x-6) be sure to include the parenthesis or it will be incorrect
Step-by-step explanation:
I have a question what is 3/4 × 4/5?
Answer:
3/5
Step-by-step explanation:
Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5
Evaluate the numerical expression 4 x (8 - 2) + = []
Answer:
24
Step-by-step explanation:
4x(8-2)
=4x6
=24
If the sales tax rate is 7.6%.how much sales tax will you pay on 330
item
Answer:
25.08
Step-by-step explanation:
330 x .076=25.08
1. Calculate the volume of the rectangular prism. Answers are in cubic
millimeters.
4 mm height
17 mm width
9 mm length
Answer:
The answer is 612
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
The second item for a restaurant is a circular pancake. They make 6 inch diameter
pancakes and charge $1.50 per pancake. They want to make 8 inch diameter
pancakes, how much should they charge for this larger pancake?
40 POINTS IF YOU ANSWER CORRECTLY!
PLEASE HELP
Solve for Y and give me the three major trig ratios for theta
SHOW YOUR WORK
Thank you!
Answer:
Step-by-step explanation:
y is 15.49
Formula is b = √c^2-a^2
You could use sine [ opposite/hypotenuse ],
Cosine [adjacent/hypotenuse]
or Tangent [ opposite/adjacent ]
to find theta
Theta is 75.522
HELP PLEASE THESE ARE DUE TODAY
If you fold the number line so that the vertical crease goes through 0,the points you label would match up explain why this happens
Answer:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves.
Step-by-step explanation:
When you fold the number line ( vertically through the point zero on the number line ) you have successfully divided the number line into 2 equal halves. and this causes the points labelled on either side of the number line to match up with with the points on the opposite side
✰ ☆
(Only if you are right obviously)
Which beliefs do most Christians hold
A. there are many different gods
B. non-jews cannot become Christians
C. Jesus was the son of God
D. Christians should not perform rituals
What is the height h of the flagpole in meters?
A. 10m
B. 12m
C. 18m
D. 20m
Each of 2 boxes of markers held 6 markers. Each of 3 packs of
rulers held 4 rulers.
How many markers and rulers were there altogether?
Solve the inequality 4(x – 3) – 7 < 2(x – 3).
Answer:
{x}\lt\frac{{13}}{{2}}
Step-by-step explanation:
Answer:
x < 13/2
Step-by-step explanation:
4(x-3) -7: 4x - 19
4x - 19 < 2x-6
4x - 19 + 19 < 2x - 6 + 19
4x < 2x + 13
4x - 2x < 2x + 13 - 2x
2x < 13
2x/2 < 13/2
x < 13/2
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
How can the manager use the data in the dot plot to improve the airline?
Answer:
The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.
Step-by-step explanation:
the answer that is given on edmentum
a square has one side that is 8 inches long. what is the area of the square
Answer:
64 inches sq
hope this helps
have a good day :)
Step-by-step explanation:
If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
The volume of a gas held at constant temperature varies inversely with the pressure of the gas. If the volume of the gas is 1200 cubic centimeters then the pressure is 200 millimeters of mercury, what is the volume when the pressure is 800 ml?
Answer:
300
Step-by-step explanation:
The volume of the gas varies inversely as the pressure
V= k/p
K= VP
= 1200×200
= 240,000
Therefore the volume when the pressure is 800
K= VP
240000= V×800
V= 240000/800
= 300
Hence the volume is 300 cubic centimeters
Given that n(A) = 12, n(B) = 7
and n(AUB) = 10
Find n(AnB)
Pls show working
Answer:
n(A) + n(B) - n(AnB) = n(AUB)
12 + 7 - n(AnB) = 10
19 - n(AnB) = 10
19 - 10 = n(AnB)
n(AnB) = 9
Step-by-step explanation:
Step-by-step explanation:
n(A)=12
n(B)=7
n(AUB)=10
n(AnB)=?
let,n(AnB) be x
We know that,
or, n(AUB) = n(A)+n(B)-n(AUB)
or, 10 =12+7+x
or, 10 =19+x
or, 10-19=x
or,9=x
so, the value of x is 9
then (AnB)=9
HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).
Answer:
Step-by-step explanation:
You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.
Left Side
(x + 3)^2 + (y - 4)^2 = r^2
Right Side.
x1 = - 3
x2 = 2
y1 = 4
y2 = 1
Use the distance formula to get r^2
r^2 = (x2 - x1)^2 + (y2 - y1)^2
r^2 = (2 - - 3)^2 + (1 - 4)^2
r^2 = 5^2 + (-3)^2
r^2 = 25 + 9
r^2 = 34
Answer
(x + 3)^2 + (y - 4)^2 = 34
GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!
Answer:
-8 or -5
Step-by-step explanation: