Answers
Answer:
10.
tan x=51/68
x=tan-¹(51/68)=36.87
11.
cos x=72/78
x=cos-¹(72/78)=22.62
12.
sin x=24/51
x=sin-¹(24/51)=28.07
13.
sin x=21/75
x=sin-¹(21/75)=16.26
14.
sinx =16/85
x=sin-¹(16/85)=10.85
15.
sin x=48/60
x=sin-¹(48/60)=53.13
note
relationship between base and perpendicular is given by tan angle
relationship between base and hypotenuse is given by cos angle
relationship between hypotenuse and perpendicular is given by sin angle
Related Questions
what is the value of y?
Answers
Answer:
the answer to that is 4 hope it help
Answer:
y = 8
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
y = 8
PLZ HELP!! I'm really stuck
>n
Answers
P (8,4) is a point on a circle, centre O.
The tangent at P intersects the axes at points A and B.
a) Find the gradient, m, of the tangent.
Answers
Answer:g
Step-by-step explanation:
The required slope of the tangent is given as m = -2.
Given that,
P (8,4) is a point on a circle, center O, The tangent at P intersects the axes at points A and B.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the tangent m = -1 / [slope of the radius OP]
The Slope of the tangent m = -1 / [[4 - 0]/ [8 - 0]]
The slope of the tangent m = -1 / [1 /2 ]
The slope of the tangent m = - 2
Thus, the required slope of the tangent is given as m = -2.
Learn more about slopes here:
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Plz help i need help thx brainliest 5 star!!!!!!!!!!!!!
Answers
Answer:
Part A: d ≥ 500
Part B: d must be over or equal to 500 but can go infinity at 500+
Step-by-step explanation:
Part A:
≥ stands for "at least" and d has to be "at least" 500,
hence d ≥ 500
what’s the answer, and how do I find it step-by-step?
Answers
Answer: 16p^8q^4r^8 The yellow one
Step-by-step explanation:
Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2
Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2
Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2
Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one
Work out the surface area of this solid prism.
8m
x 5m
3m
4m
The diagram is not drawn to scale.
unit: m2
Answers
Answer:108
Step-by-step explanation:
Express each of the following in the form
[tex] {7}^{x} [/tex]
a)
[tex] \sqrt[5]{7} [/tex]
b)
[tex] \frac{1}{ \sqrt[7]{7} } [/tex]
Answer:
Explanation:
Answers
Answers:
a) [tex]7^{1/5}[/tex]b) [tex]7^{-1/7}[/tex]Each answer has 7 as the base and a fraction as an exponent.
==========================================================
Explanation:
One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.
For part a), we have x = 7, m = 1 and n = 5 to get
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]
-----------------
Part b) is the same idea
We would find that
[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]
Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1
[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]
You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.
In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.
1
3.1.1 What does 'in excess of' mean?
Answers
Answer:
more than.
"a top speed in excess of 20 knots"
Similar: "more than" "over" "above" "over and above" "beyond"
A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.
Answers
Answer:
[tex] \displaystyle \frac{1}{28} [/tex]
Step-by-step explanation:
we are given 8 songs
2 are rock. 4 are reggae, 2 are country
we want to figure out the probability of getting both reggae songs
notice that, they aren't replacing thus it's an independent probability
recall that,
[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]
P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time
let's figure out P(A)
we have 2 reggae songs
and total 8 songs
therefore
[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]
let's figure out P(B|A)
since we took a reggae song before now we have only a reggae song
and total 8-1=7
therefore
[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]
Altogether
[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]
simplify multiplication:
[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]
And we are done!
3
4Xα =αX 4 what rule is being used in each in of these equations :commutative,associative or distributive
Answers
Answer:
commutative property........
Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6
Answers
Answer:
It is (D)
[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]
Step-by-step explanation:
I hope that is useful for you
The coordinates below represent a triangle that was dilated. J(-3, -12) -->
J'(-1,-4); K(-6, -15) K'(-2,-5); L(-9, -12) --> L'(-3,-4). What was the scale
factor that was used in the dilation? *
1 point
02
1/3
2/3
Option 4
Which is the correct algebraic representation of the transformation
1 point
Answers
Answer:
1/3 is the dialation
Step-by-step explanation:
Algebraic representation is (x, y) → (kx, ky), and it is by 1/3 because -3 is 1/3 of -9 and -4 is 1/3 of -12.
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot
Answers
Answer:
[tex]CD = 4.4ft[/tex]
Step-by-step explanation:
Given
[tex]DE = 12[/tex]
[tex]\angle C = 70^\circ[/tex]
Required
Find CD
This question is represented with the attached triangle
To solve CD, we make use of tan formula.
[tex]tan(70) = \frac{DE}{CD}[/tex]
Substitute 12 for DE
[tex]tan(70) = \frac{12}{CD}[/tex]
Make CD the subject
[tex]CD = \frac{12}{tan(70)}[/tex]
[tex]CD = \frac{12}{2.7475}[/tex]
[tex]CD = 4.4ft[/tex] --- approximated
Answer:
12.8
Step-by-step explanation:
if 50g of tomato serves 2 people how kilograms of tomato will be needed to serve 5 people with method
Answers
find the value of given expression
[tex] \sqrt[3]{216} [/tex]
Answers
The volume of a mini-basketball is approximately 4846.59 cubic centimeters. What is the approximate radius of a mini-basketball?
A
10.5 cm
B
11.5 cm
C
21 cm
D
23 cm
Answers
Answer:
A
Step-by-step explanation:
4/3 pi r3= 4846.59*3/4/pi=1157.625
so r3= 1157.625
so taking cube root on both sides we get
10.5 which is A
if my answer helps please mark as brainliest.
Simply reverse the formula for the volume of a sphere: pi*r^3*(4/3)
pi*r^3*(4/3)=4846.59
r^3*(4/3)=1524.71751128
r^3*4=4628.1523384
r^3=1157.03813346
r=10.49823
Round.
Answer: 10.5
The odometer in a car measures the number of miles driven by the car since it was made. During a trip, the odometer reading in Anita’s car is modeled by the function y=9500+55x, where x represents the number of hours driven during the trip and y represents the odometer reading in miles.
Part A
What is the meaning of the rate of change in this function?
The number of miles driven each hour during the trip.
The total number of miles driven at the beginning of the trip.
The total number of miles driven at the end of the trip.
The number of miles driven during the trip.
Question 2
Part B
What was the odometer reading, in miles, before Anita’s trip?
Answers
Answer:
Step-by-step explanation:
Part A
The units on 9500 must be miles. So if x is time, then 55 must be the rate at which she travels ie 55 miles per hour. So the answer must be A.
Part B
The trip began when the time was zero. Therefore x is zero. What remains is the mileage on the odometer when x = 0. The answer must be 1950.
The area of a rectangular
driveway is 2x2 + 15x + 25.
The width of the driveway is
x + 5. What is the length of
the driveway?
Answers
Answer:
2x+5
Step-by-step explanation:
Okay so lets first factor 2x^2+15x+25
2*25=50
10+5=15
10*5=15
(x+10/2)(x+5/2)
=(x+5)(2x+5)
we know that the width is x+5 so that means the length has to be 2x+5
Can somebody help me on this and if so please answer correctly
Answers
Solve the equation p + 5| = 3.
o p = 8 or p = 2
p= -8 or p = -2
p= 2 or p = -8
O p=-2 or p = 8
Answers
Which set of numbers is ordered from greatest to least?
A. -6, -10, 0,3
B.-7, -5, 2,6
C. 4, 3, -2,-6
D.-3, -6, 9, 11
Answers
Answer:
C
Step-by-step explanation:
Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.
Answer:
c is the answer
Step-by-step explanation:
because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer
Help asap plss i will give you brainliest
Answers
Answer:
A. -80x + 24
Step-by-step explanation:
- 8( 10x - 3 )
- 8( 10x )
= - 80x
- 8 ( - 3 )
= 24
- 80x + 24
Remember, when you multiply a negative number with another negative number it will become positive
Hope this helps dude
I Need Help! ASAP
Part A. Johnny translated ABCD 3 units to the right and 4 units up to a new position, EFGH. Draw and label EFGH.
Part b. Tom rotated ABCD to a new position, IJKL, 90º clockwise about the origin, O. Draw and label IJKL.
Part c. Tony placed a smaller car, represented as MNOP, on the coordinate plane. MNOP is a dilation of ABCD with its center at the origin and a scale factor of -0.5. Draw and label MNOP.
Answers
Help me out please???
Answers
Answer: neither refer to image
Evaluate the expression when g=3 and h= 17
h−5g
Answers
EXPLANATION:
If g= 3 we can replace g with 3.
Now we have h-5 x 3
and if h= 17, we can replace h with 17.
Now we have 17 - 5 x 3.
because of pemdas, multiplication is first
5 x 3 is 15,
17 - 15 is 2.
2.
Answer:
2
Step-by-step explanation:
17 - 5(3) (Plug in)
= 17-15 (Multiply)
= 2 (Simplify)
Help me with this!! Will mark Brainliest
Answers
Answer:
yes both are the distance of 99mm
Answer:
yes
Step-by-step explanation:
they are equal in length
If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.737
Answers
What is the area of this figure?
Answers
Answer:
Im not going to give you the answer but try this by your self.
Step-by-step explanation:
To figure out the area multiply each side together. To find the perimiter add all the sides.
Answer:
671
Step-by-step explanation:
16 × 9 = 144
13 + 16 = 29
29 × 9 = 261
9 + 29 = 38
38 × 7 = 266
266 + 261 + 144 = 671
Which parent function is represented by the graph?
10-
+ 10
10-
A. An exponential parent function
B. Absolute value parent function
C. Quadratic parent function
Answers
Answer:
absolute value parent function
The correct parent function which is represented by the graph is,
⇒ Absolute value parent function.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The graph of function shown in image.
Now, We have;
The function of the graph is,
⇒ y = |x|
Hence, It is an Absolute value parent function.
Thus, The correct parent function which is represented by the graph is,
⇒ Absolute value parent function.
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On a certain hot summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.
How many children and how many adults swam at the public pool that day?
Answers
Answer:
We call x the number of children and y the number of adults
We have system of equations
x + y = 218 (1)
1.25x + 2y = 349.75 (2)
(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75
=> y = 103 replace y in (1) x = 218-103 = 115
Children and how many adults swam at the public pool that day is : 115 and 103
Step-by-step explanation: