PGR is a right-angled triangle.
Work out the size of angle PGR. Give your answer correct to 1 decimal place.
Answers
Answer:
PQR = 67.4 degrees
Step-by-step explanation:
Here, we want to find the size of PQR
to do this, we proceed as follows
As we can see PR is the opposite while PQ is the hypotenuse
The trigonometric identity connecting the two is the sine
sine is the ratio of the opposite to the hypotenuse
sin Q = 12/13
Q = sin^-1(12/13)
Q = 67.4 degrees
Related Questions
What is 1/2x(4+6x3)-9?
Answers
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
What is the kinetic energy of a 14 kg mass moving with a velocity of 3 m/s? 1 point
63 J
69 J
66 J
60 J
A 35 kg mass is lifted to a height of 5 m What is the notential anera?*
Answers
Is the function increasing or decreasing over the interval (-3,-1)? Explain.
Answers
Explanation:
The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.
The interval notation of (-3,-1) means -3 < x < -1.
Since the curve is going downhill on this region, this means the function is decreasing on this interval.
Yes, the function is decreasing over the interval (-3,-1).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given interval is (-3, -1).
The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.
The interval notation of (-3,-1) means -3 < x < -1.
Since the curve is going downhill on this region, this means the function is decreasing on this interval.
Yes, the function is decreasing over the interval (-3,-1).
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
$49 to $149
A.2%; increase C.100%; increase B.67%; increase D.204%; increase
Answers
Answer:
D. 204% increase
Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)
Answers
Answer:
56
Step-by-step explanation:
(4+7)²-(4²+7²)=121-65
=56
Answer:
56
Step-by-step explanation:
(4 + 7)² - (4² + 7²) = 11² - (16 + 49) = 121 - 65 = 56
What number is 2/5 more than 0.75?
Answers
Answer:1.15
Step-by-step explanation:
2/5 =.40
.75+.40=1.15
Answer:
1.05
Step-by-step explanation:
2/5 is equal to .4%.
We can then also interpret the equation as "What number is 1.4% more than .75?".
We need to only multiply 1.4 x .75, to which we will get 1.05.
2/5-1/4 simplified please help will make brainliest
Answers
Answer:
8/20-5/20
Step-by-step explanation:
Answer:
0.15
Step-by-step explanation:
0.4-0.25
0.15
What is (528^5 x 2419^9)^6 - 328?
Also don’t answer unless your fine with getting hundreds of notifications.
Answers
Answer:
Exact Form:
(41036433850368 ^6 x 2419 ^54 )− 328
Decimal Form:
2.48516121 x 10 ^264
Answer:
Heyyy T-T
Step-by-step explanation:
Given m||n, find the value of x.
(2x-24)
(x+5)°
Answers
Hope this helps.
What is 20% of 800, if 10% of 800 is 80?
Answers
Answer:
160
I hope it is helpful to you
the interior angles formed by the sides of a quadrilateral have measures that sum to 360 degrees. what is the value of x? enter your answer in the box
x =_____
Answers
Answer:
x = 59
Step-by-step explanation:
since the quadrilateral add up to 360 degrees,
X + X + (2x + 3 ) + (2x + 3) would equal 360 degrees
x + x + (2x + 3) + (2x + 3) = 360
6x + 6 = 360, addtion
6x = 354, subtraction
x = 59, division
solve for x
1(x-2) = -5.5
Answers
Answer:
x = -3.5
Step-by-step explanation:
Divide both sides by 1 to get rid of the 1
x - 2 = -5.5
Add 2 on both sides
x = -3.5
Answer:
x = -3.5
Step-by-step explanation:
1(x - 2) = -5.5
x - 2 = -5.5: Distributive property
x = -3.5: Subtraction property
What is the volume of the tent?
Answers
Explanation
PLS HELP I'LL MARK BRAINLEST
Answers
Answer:
x+74=135
x=135-74=61(exterior angle of a triangle is equal to the sum of two opposite interior angle)
The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If this area is 414 square feet, what is the length of the rectangle?
Answers
Answer:
23ft
Step-by-step explanation:
Area of the rectangle = LW
L is the length
W is the width
Given
Area = 414ft²
If the length of this garden is 5 feet longer than its width, then;
L = W+5
Substitute into the formula
414 = (W+5)W
414 = W²+5W
W²+5W-414 = 0
W = -5±√5²-4(-414)/2
W = -5±√25+1656/2
W = -5±√1681/2
W = -5+41/2
W = 36/2
W = 18ft
Since L = W+5
L = 18+5
L = 23ft
Hence the length of the rectangle is 23ft
does this look right?
Answers
Answer:
What?
Step-by-step explanation:
what looks right?
Answer:
what ???¿???????
?????
Why do we use fractions to represent slope?
Answers
Answer:
The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).
Step-by-step explanation:
What kind of triangle is this?
Answers
Answer:
Obtuse
Step-by-step explanation:
Has one obtuse angle, i hope this helps you
Obtuse
Explanation:
at the end of the basket ball game, the players were given the choice of having a bottle of water or a box of juice. of all the players, 12 chose a water bottle which was 3/4 of the total amount of players. Write and solve the equation to determine p, the total amount of players in the basket ball game.
Answers
Answer: 16 players in total
Step-by-step explanation:
12 divided by 3/4 is 16
12 / 3/4 = p
16 / p
I just need the answer pls
Answers
Answer:
(3.5, 5) is my answer
Solve and check:
y = x + 4
y = 3x
Answers
Answer:
X=2
Step-by-step explanation:
3x = x + 4
3x - x = 4
2x = 4
x = 4/2
x = 2
Check:
3(2) = 2 + 4
6 = 6
Does the point (5, 8) satisfy the inequality 2x + y > 18?
Answers
Answer:
The answer is...... NO
Step-by-step explanation:
Step 1: Plug in your values in the x and y cordinates.
2(5) + 8 > 18
Step 2: Solve
Then you multiply 2 and 5 and get 10.
SO then your equation should look like this:
10 + 8 > 18
The answer to the question is no because in order for this to work it would need to be the greater than or equal to sign, which looks like this ≥.
Hope this helps and have a great day! :)
PLS HELP I'LL MARK BRAINLEST
Answers
Answer: C
Step-by-step explanation:
hope this helped
Answer:
D and E.
Step-by-step explanation:
Each angle is a different length and no sides can be the same length. If two angles are the same the triangle is considered an isosceles triangle. If all sides are the same it is an equilateral triangle.
Which of these numbers is a prime number: 1, 11, 21, 51?
Answers
Answer:
11 and 51
Step-by-step explanation:
1 technically isn't a prime since a prime can only be divided by two things (itself and 1) and 1 can only be divided by 1.
21 can be divided by 1, 3, 7, and 21 so it is not prime.
Hope this helps!
x^4-25x^2+144 by x-4
Answers
Answer:
x^5-25x^3-4x+144/x
Step-by-step explanation:
x^4-25x^2+144 by x-4
Write the division as a fraction
x^4-25x^2+144/x -4
Write all numerators above the common denominator
x^5-25x^3+144-4x/x
Use the commutative property to reorder the terms
x^5-25x^3-4x+144/x
if you can give me brainliest thad be amazing! if not thats fine as well, hope this helps
What is 12 kg into grams
Answers
Answer: 12 kilograms= 12000 grams
Step-by-step explanation:
multiply the mass value by 1000
Answer:
1 Kg = 1000 grams
hence
12Kg = 12000 grams
A.) 15.7in
B.) 31.4in
C.) 40in
D.) 62.8in
Answers
Answer:
31.4 in
Step-by-step explanation:
This is a tricky question,
if you observe the shape carefully, you will notice that if you mirror (flip outward) each curve surface of each quardrant, what you will end up with is a complete circle with a radius of 5 inches.
Hence the combined length of all the curved surfaces is simply the circumference of the circle, given by:
Circumference = 2πr
= 2 x 3.14 x 5
= 31.4 in
hope this helps lol
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
Answers
Answer:
We know the volume formula of rectangular prism is:
Volume = Length × Width × Height
We are given:
Volume = 1428 in³
Height = 6 in
Length = 17 in
Width = p
Apply the formula!
1428 = 6 × 17 × p
1428 = 102p
Divide by 102 on either side to isolate p
p = 14
The width is 14 inches
Step-by-step explanation:
Which of the following questions describes the equation g + (-4) = -5?
What number, when subtracted from negative four, is equal to negative five?
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?
Answers
Answer:
im pretty sure its the last one
Step-by-step explanation:
The amount of rainfall during one week is shown in the graph below. The rainfall is measured in centimeters and the time is measured in days. Each interval from 0 to 1 on the x-axis represents the 24-hour period for day 1, the interval from 1 to 2 represents the 24-hour period for day 2, etc. Choose the correct statement from the choices below.
Answers
Answer: C: It did not rain on 3 days; it did rain on 4 days
The solution to the equation of graph is it did not rain on 3 days ; it did rain on 3 days
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the equation of graph be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The graph is rising on 0 to 1 , 2 to 4 and 5 to 6
The graph is a straight line from 1 to 2 , 4 to 5 and 6 to 7
So , the graph is rising represents the rain was there for 3 days
And , when the graph is a straight line , the rainfall was absent
Hence , the graph represents it did not rain on 3 days ; it did rain on 3 days
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ2