Answers
[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{4}{16}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{sin30}{2}[/tex]
[tex]\\ \sf\longmapsto sin\theta=sin15[/tex]
[tex]\\ \sf\longmapsto \theta=15°[/tex]
Related Questions
If a bridge will hold only 4500 kilograms and an empty truck weighs 26500 hectograms, whats the heaviest load the truck can safely carry across the bridge? Give the answer in kilograms.
Answers
1850 kilograms
26500x0.1 (conversion rate from hg to kg) = 2.650 kg
4500-2650 = 1850
Solve the system of equations:
y = 2x - 4
y = x2 - 4
Answers
Answer:
y=2x-4
Step-by-step explanation:
y=x2-4
ygjn bcgh ccfjm kbhh
Which point represents the center of the circle shown below?
X
T
Answers
The midpoint of AB is M(-6,1). If the coordinates of A are (-7, -3), what are
the coordinates of B?
Answers
Answer:
B = (1, -4)
Step-by-step explanation:
the midpoint formula is ((x1 + x2) / 2 , ( y1 + y2) / 2)
M = (-6,1) and A = (-7,-3)
if we make A (x1, y1), we can plug in and solve for B (x2, y2)
-7 + x2 = -6
x2 = 1
1 + y2 = -3
y2 = -4
B = (1, -4)
Set up an equation to find the length of the diagonal of the rectangle.
Answers
Answer:
Set length as lUse the Pythagorean Theorem to find the diagonal:
[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]
Simplify the expressions by combining like terms.
30) 4x + 3-x =
Answers
Step-by-step explanation:
the answer is -1. I have a picture, take a lot at it
Answer: 3x+3
Step-by-step explanation:
4x+3-x
= (4x-x) + 3
= 3x+3
What is the volume of the regular pyramid?
576m
96 m
480 m
240 m
Answers
Answer:
volume is 576
Step-by-step explanation:
all you do to find volume is multiply LxWxH which will give you volume so just take 18m x 4m x 8m = 576m hopefully its a simply and direct explanation make me brainlist please !!!
The volume of a pyramid is 720 m³.
What is a pyramid?A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.
The volume of a pyramid with a square base is given as:
Volume = 1/3 x base area x height
We have,
Base area:
A = (1/2) x apothem x perimeter
where the perimeter is the total length of all five sides of the pentagon.
So,
= 1/2 x 4 x (5 x 8)
= 2 x 40
= 80 m²
Height.
= 18 m
Now,
The volume of a pyramid.
= 1/2 x 80 x 18
= 80 x 9
= 720 m³
Thus,
The volume of a pyramid is 720 m³.
Learn more about pyramid here:
https://brainly.com/question/17615619
#SPJ2
Find the input (x) of the function y=5x-3 if the output (y) is 32
Answers
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
1) With the help of given figure.
a) Write the names of minor and major arcs.
b) If mzAOQ = 70° then find m(arcAYQ) and
m(arcAXQ).
Answers
[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]
[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]
Now
[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]
[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]
The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answers
Answer:
18h +4
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w) where l is the length and w is the width
=2( 7h+8 + 2h-6)
Combine like terms
= 2( 9h+2)
Distribute
= 18h +4
pls pls pls help me answer this quickly
Answers
Answer:
768
Step-by-step explanation:
(8×8×10)+(8×8×6/3)
= 640+128
= 768
Answered by GAUTHMATH
simple geometry problem i cant understand
Answers
Answer:
23.5
Step-by-step explanation:
m∠Y = (m∠RTS - m∠VTX)/2
m∠Y = ((180 - m∠RTV) - (180 - m∠VTX))/2
m∠Y = ((180 - 95) - (180 - 142))/2
m∠Y = (85 - 38)/2
m∠Y = 47/2
m∠Y = 23.5
A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant
Answers
Answer:
To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.
Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.
Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.
which choice is equivalent to the expression √20 + √80
Answers
Answer:
13.41
Step-by-step explanation:
Hope it helps!
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{80}[/tex]
= [tex]\sqrt{16(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{20}[/tex] + [tex]\sqrt{80}[/tex]
= 2[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex]
use the ratio of a 30-60-90 triangle to solve for the variables.
Answers
Answer:
X = 32, y = 16
Step-by-step explanation:
Cos 30 = (16√3) ÷ x
x = (16√3) ÷ cos 30
x = 32
Sin 30 = y ÷ 32
y = 32 sin 30
y = 16
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form
(2 • 6) 3/2
Answers
Answer:
24√3
Step-by-step explanation:
(2 • 6)^(3/2) =
= 12^(3/2)
= √(12³)
= √1728
= √(2^6 • 3² • 3)
= 2³ • 3 • √3
= 24√3
Can u help solve this
Answers
Answer:
- 5/3
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -1 -9)/(4 - -2)
= (-1-9)/(4+2)
= -10/6
- 5/3
Answer:
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]
How could Brent use a rectangle to model the factors of \large x^2-7x+6?
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
Answers
Answer:He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
Step-by-step explanation:
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
What is the greatest common factor of 24s3, 12s4, and 18s?
Answers
Answer:
24s3
Step-by-step explanation:
24s3 is the greatest common factor of 24 S3 12 s4 and 18s.
What is the product of the fractions below?
Answers
Answer:
B
Step-by-step explanation:
6/11 * 7/3 = 6*7/11*3 = 42/33
We can simplify this by dividing both by 3.
42/3 = 14
33/3 = 11
So we get 14/11
The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'
Answers
Answer:
Remember that a vector translation can be written as:
T(a, b)
And if we apply this to a random point, (x, y), the translation gives:
T(a, b)(x, y) = (x + a, y + b)
now, remember that a general line can be written as:
y = m*x + s
Then a point of that line can be written as: (x, m*x + s)
Then if we apply the translation to a point in the line, we get:
T(a, b)(x, m*x + s) = (x + a, m*x + s + b)
Here we have two lines:
2x - 3y - 1 = 0
2x - 3y + 5 = 0
First, let's rewrite both of these in the slope-intercept form:
y = (2/3)*x - 1/3
y = (2/3)*x + 5/3
Now let's assume that we apply a translation to the first line, that has points of the form (x, (2/3)*x - 1/3), such that we want to get points of the form:
(x, (2/3)*x + 5/3).
Then we must have:
T(a, b)(x, (2/3)*x - 1/3) = (x + a, (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).
Then we need to solve:
(x + a, (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).
This means that:
x + a = x
(2/3)*x - 1/3 + b = (2/3)*x + 5/3
From the first equation, we can see that a = 0
Now we can solve the second one to find the value of b.
(2/3)*x - 1/3 + b = (2/3)*x + 5/3
subtracting (2/3)*x in both sides, we get:
-1/3 + b = 5/3
b = 5/3 + 1/3
b = 6/3 = 2
b = 2
Then the vector translation is:
T(0, 2)
So it moves the whole line 2 units upwards.
What is the radius and diameter of the following circle? 5.1 cm
Answers
Answer:
A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:
PLEASE HELP !!
Given that p II q, fill in the reasons why each statement is true.
Answers
Answer:
1. Given
2. Def of Vertical Angles
3. Alternate Interior Angles
4. Def of Vertical angles
5. Opposite exterior angles
Step-by-step explanation:
Camilla can do 33 push ups in 3 minutes. How many push ups can she do in 1 hours if she never gets tired?
pls answer soon
Answers
Answer:
660
33 / 3 = 11 per minute
60 minutes in an hour = 11 * 60 = 660
Step-by-step explanation:
Select the correct answer from each drop-down menu.
A student begins a proof of the law of cosines. His work is shown.
(png/image displayed in download)
The next step in the proof is to write an expression for the length of side AZ in terms of ____
Then the student should write an expression for the length of side AY in terms of____
Next he can use the ____
to relate x, y, z, and ____
(____) = blank, not known
1. blank choices
y,z and x
y,z and y
x,z and z
2. blank choices
z and Y
x and Z
z and X
3. blank choices
Pythagorean Theorem
Law of sines
tangent function
4. blank choices
X
Z
Y
Thanks for your time, have a nice day!
Answers
Answer:
1. y, z, and X
2. x and Z
3. Pythagorean theorem
4. X
Step-by-step explanation:
hope this helps
Quesdon 8 of 10
Which of the following is a polynomial?
Answers
Answer:
B
Step-by-step explanation:
It has two or more terms.
Given that
∠4
∠
4
has a measurement of 103°, what is the measurement of
∠2
Answers
Answer:
103 = <2
Step-by-step explanation:
Angle 4 and angle 2 are vertical angles and vertical angles are equal
<4 = <2
103 = <2
Answer:
103
Step-by-step explanation:
Angle 4 and Angle 2 are congruent so they have the same value.
a can of soft drink weighs 340g when rounded off to the nearest whole number, what is the lowest possible weight of the can of soft drink
Answers
======================================================
Explanation:
When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.
Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5
Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.
In short, the possible weights x are [tex]339.5 \le x < 340.5[/tex] where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
correct option is A
Step-by-step explanation:
mark me
Hope this helps!!!!!!
A dealer marks a T-shirt with a price 20 PERCENT more than the cost price. It he sells it at a discount of I5 PERCENT.. What will be his gain Or loss percent ? (Take cost price as Rs 100)
Answers
Answer:
Rs 2,or 2%profit
Step-by-step explanation:
the price he marked:
[tex]100 \times \frac{120}{100} = 120[/tex]
(20 percent more than cost price)
The discount he put: 15 percent
[tex]120 \times \frac{85}{100} [/tex]
Rs102
102 is 2 more than 100
and is 2%profit.
Brainliest please
