Answers
Answer:
Q.1.
Sum of angles of a triangle = 180°
∠A + ∠B + ∠c = 180
(3x - 9) + (4x + 15) + 90 = 180
3x - 9 + 4x + 15 + 90 = 180
7x + 96 = 180
7x = 84
x = 12
∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°
∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°
∠A = 27°
∠B = 63°
Q.2.
[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]
[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]
x = 14
y = 60°
Related Questions
PLEASE HELP ME BRIANLIEST THANKS, PROFILE THANKS, FRIEND REQUEST
(( you have to pull up the graph to fit the question))
Answers
Answer:
multiple answers
Step-by-step explanation:
1 dot above 1.25, 2 dots above 1.50, 3 above 1.75, 1 above 2.00, 3 above 2.25, one above 2.50, 1 above 2.75
hope it helps :)
4. The sum of two numbers is 100. If one is four times the another, find the numbers
Answers
Let the numbers be x and 4x. So, according to the question,
x + 4x = 100
=> 5x = 100
=> x = 100/5
=> x = 20
So, the number are,
x = 20
and
4x = 4×20 = 80
So, the two numbers are 20 and 80.
Consider two people where one person is 20% taller than the other but proportioned in exactly the same way. (That is, the taller person looks like a larger version of the shorter person.) Suppose the shorter person has a 31-inch waist. What size is the taller person's waist?
Answers
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
There are 7 brown cars out of 35 cars. What is the ratio of brown cars to the cars?
Answers
Answer:
7:35 (can also be written as 7/35)
Step-by-step explanation:
how many times does 5 go into 103?
Answers
Answer and Step-by-step explanation:
We know that 5 can go into 100 twenty times, so lets try 20 and see what happens.
5 times 20 = 100
103
- 100
3
We get a remainder of 3. This means that 5 goes into 103 only Twenty times.
If we were to fully divide 103 by 5, then 5 goes into 103 '20.6' times.
#teamtrees #PAW (Plant And Water)
ZAOC measures 150°. OC is 20° clockwise from the negative x-axis, as shown. If ZAOC is rotated
60° counterclockwise, what angle does OC make with the x-axis?
Answers
Answer:
40 degrees clockwise.
Step-by-step explanation:
If we rotate 150 degrees counterclockwise by 60 degrees , we would end up at 210 so
210-170=40 degrees
It would be clockwise.
please help me someone
Answers
Answer: itz d plz trust me
If p is true and q is true, then ^p — ^ ~ q is true.
Answers
Answer:
okey???????????????????????? p and q is true got it.
Answer:
wat?
Step-by-step explanation:
Who is correct and why are they correct?
Answers
Answer:
Autumn is correct because it's a non-linear line. although it is positive, it's not straight.
Answer:
autumn is correct. is positive and is not a line
Solve for x.
2x + 6
X + 9
x = [?]
Answers
Answer:
wheres the y
Step-by-step explanation:
Answer:
Solution given:
2x+6+x+9=180°[alternative exterior angle is a supplementary]
3x=180-15
x=165/3
x=55
Dan is trying to construct a bigger square by utilizing and putting together pieces of square-shaped pieces of paper with similar dimensions. Without tearing or cutting, what is the minimum number of pieces required to achieve his objective?
Answers
The minimum number of pieces dan requires to achieve his objective of constructing a bigger square is; 4 pieces
First of all we need to understand that the 4 sides of a square are equal.We are told that dan is trying to construct a bigger square with a smaller square. That all the smaller square-shaped pieces of paper have similar dimensions.
Now, if the length of a side of the small square shaped pieces is x, it means that if we join 2 of the smaller squares, we will have;Length = 2x
Width = x
Both sides above are not equal and as such we need to join 2 more squares the exact way the above was done. This means that if the 2 new squares are added adjacent to the incomplete side, we will now have;Length = 2x
Width = 2x
Thus, the minimum number of pieces dan will require to construct the bigger square is 4 squares.
Read more about properties of squares at; https://brainly.com/question/298357
PLEASE HELP IMMEDIATELY!!
Answers
Answer:
B
Step-by-step explanation:
45-45-90
find hypotenuse: leg × root 2
[tex]8 \times \sqrt{2} [/tex]
he average movie admission price for a recent year was $7.18. The population variance was 3.81. A random sample of 15 theater admission prices had a mean of $8.02 with a standard deviation of $2.08. At α = 0.05, is there sufficient evidence to conclude a difference from the population variance? Assume the variable is normally distributed.
Answers
Answer:
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
Step-by-step explanation:
The data given is
Population mean μ= $ 7.18
Population variance= σ²= 3.81
Population Standard Deviation = √σ²= √3.81= 1.952
Sample Mean= x`= $ 8.02
Sample Standard Deviation =s = $ 2.08
Sample Size = 15
Significance Level = ∝= 0.05
The null and alternate hypotheses are
H0: σ1=σ2 against the claim that Ha: σ1≠ σ2
where σ1 is the population variance and
σ2 is the sample variance
The rejection region is Z ≥ ±1.96 for two tailed test at ∝= 0.05
The test statistic z is used
z= x`- μ/ σ/√n
Putting the values
Z= 8.02-7.18/1.952/√15
z= 0.84/0.51599
z= 1.6279
Since the calculated value of z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.
22 Points For The First Person To Get It Correct.
Answers
Answer:
8×5= 40 is the answer .......
One pitcher serves 8 people, so to figure out how many 5 pitchers would serve you would do 8×5 which is 40. 5 pitchers would serve 40 people. I hope this helps!
Write the equation of the line that passes through the points (0,8) and (-1, –4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
Step-by-step explanation
First, let's remember the equation for point-slope form and how to find the 'm' value:
[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]
Now plug your m value and (x1, y1) into point-slope form:
[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]
Which is the equivalent of 145.12° written in DMS form?
A. 145° 7' 2"
B. 145° 12' 0"
C. 145° 2'36"
D. 145° 7' 12"
Answers
Answer:
the answer is
B. 145° 12' 0"
Please can someone help me!!!!!
Answers
Answer:
Your answer for both is 31 degrees
Step-by-step explanation:
Because they are similar we know their angles are the same. If you know the rule about triangles' interior angles always add up to 180, then you can just easily find this out.
First you do
82+67 = 149
Take that answer and minus it by 180
180-149 = 31
Answer:
*Using < for angle symbol*
m<E= 61 degrees
m<G= 119 degrees
Step-by-step explanation:
Because the two triangles are similar (meaning they have either length of sides or angle measurements in common, we can assume that they have the same angles because they are not the same size. We know that m<A= 82 degrees, which means so will m<D. You add the 82 and the 37 (from m<F) together to find 119. You subtract this from 180 (the total angle measurement of a triangle) to find m<E= 61. To find m<G, you subtract the 61 from 180, the angle measurement of a straight line, to find 119.
Hope this helps! Have a nice day :)
A new school is ordering math text books. They are 3/4 of an inch thick. How many these books will fit into a book shelf that is 2 feet long.
Answers
Answer:
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
24 inches are 2 feet
3/4 x 32 = 24
24 inches = 2 feet
PLEASE HELP ASAP I WILL MARK YOU BRAINLIEST!!!
Find the volume of the following
square pyramid.
26 om
20 cm
20 cm
V = [?] cm3
Answers
Answer:
Step-by-step explanation:
10400
Answer:
3200 cm^3
Step-by-step explanation:
1. Calculate the sides of the right triangle to get the height
We know that side c = 26 and the shortest leg is 10 cm (20cm/2) because this right triangle splits the 20cm in two)
[tex]10^{2} + b^{2} = 26^{2} \\100 + b^{2} = 676\\b^{2} = 576 \\b = \sqrt{576} \\b = 24[/tex]
a = 10, b = 24, c = 26
2. Use the formula for the volume of a square pyramid now that you have the height (which is b)
[tex]V = a^{2} \frac{h}{3} \\\\V = 20^{2} * \frac{24}{3} \\V = (400)(8)\\V = 3200 cm^{3}[/tex]
V = 3200
I hope this helped! :)
What transformation maps triangle XYZ onto triangle X'Y'Z'?
Answers
Answer:
a translation of 4 in y direction.
hope it helps.
stay safe healthy and happy.
The table shows input and output values for three functions.
Use the drop-down menus to complete each statement.
x-intercepts exist in the function(s)
.
y-intercepts exist in the function(s)
.
The function
has the lowest minimum.
The function
has the greatest maximum.
Answers
Answer:
x-intercepts exist in the 3 functions
y-intercepts exist in the 3 functions
The function h(x) has the lowest minimum.
The function f(x) has the greatest maximum.
Step-by-step explanation:
Given
The attached table
Solving (a): x-intercepts
A function has x intercept if its y value equals 0.
From the table, we have:
[tex]f(2)=0[/tex]
[tex]g(4) = 0[/tex]
[tex]h(2) = 0[/tex]
All functions have x intercept
Solving (b): y-intercepts
A function has y intercept if its x value equals 0.
From the table, we have:
[tex]x = 0[/tex]
This applies to all functions in the table;
Hence, all functions have y intercept
Solving (c): Lowest minimum
The minimum of each function is:
[tex]f(x) = -12[/tex]
[tex]g(x) = -4[/tex]
[tex]h(x) = -60[/tex]
The lowest minimum is: h(x) because:
[tex]h(x) <f(x) < g(x)[/tex]
i.e.
[tex]-60 < -12 < -4[/tex]
Solving (d): Greatest maximum
The maximum of each function is:
[tex]f(x) = 12[/tex]
[tex]g(x) = 2[/tex]
[tex]h(x) = 0[/tex]
The greatest maximum is: f(x) because:
[tex]f(x) > g(x) > h(x)[/tex]
i.e.
[tex]12 > 2 > 0[/tex]
Answer:
1. f(x) g(x) h(x)
2. f(x) g(x) h(x)
3. h(x)
4. f(x)
Step-by-step explanation:
I guessed and it was correct.
What's the pattern of 0, 1, 3, 7, 15, 31, 63
Answers
Answer:
a₀ = 0
aₙ = aₙ₋₁ + 2ⁿ⁻¹
Step-by-step explanation:
a₀ = 0
aₙ = aₙ₋₁ + 2ⁿ⁻¹
a₁ = a₀ + 2¹⁻¹ = 0 + 2⁰ = 1
a₂ = 1 + 2²⁻¹ = 3
a₃ = 3 + 2³⁻¹ = 7
..............
8. Solve the inequality -4y + 6 < -14.
Answers
Answer:
y > 5
Step-by-step explanation:
Solving an inequality is similar to solving an inequation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, then one must remember to flip the inequality sign.
-4y + 6 < -14
Inverse operations,
-4y + 6 < -14
-6 -6
-4y < -20
/-4 /-4
y > 5
The second side of a triangular deck is 5 feet longer than the shortest side. The third side of the deck is 5 feet shorter than twice the length of the shortest side. If the
perimeter of the deck is 60 feet, what are the lengths of the three sides?
The shortest side of the deck is feet.
(Simplify your answer.)
Answers
Answer:
Step-by-step explanation:
60= s+5 + 2s-5 + s
60 = 4s
15 = s
the short side is 15
the 2nd side is 20
the 3rd side is 25
Plz help me well mark brainliest if correct!!
Answers
It’s schedule B
8w - 12 = 44
I need the steps
this is for 30 points
Answers
Answer:
so it would be written as:
8w - 12 + 12 = 44 + 12
8w = 56
56 divided by 8 = 7
w = 7
i will give Brainiest if you are right
Answers
Answer:
D. $69,160
Step-by-step explanation:
40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160
b) 6q + 4-q + 5 simplify
Answers
Answer:
5q + 9
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
1+2^2 for brainliest + 40 points
Answers
Answer:
5
Step-by-step explanation:
u do 2x2 cuz of the square root and add the 1
just wasting points :P
Answers
Answer:
Ok Cool thx i guess.
Step-by-step explanation:
Its rectangle btw.