Consider this right triangle. R 9 55° Q P Enter the length of RQ, to the nearest tenth.
Answers
Answer:
RQ = 7.4
Step-by-step explanation:
From the right triangle PQR,
m∠Q = 90°
m∠P = 55°
Hypotenuse PR = 9
By applying sine rule in the given triangle,
Sin(55°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
0.819152 = [tex]\frac{\text{RQ}}{\text{PR}}[/tex]
0.819152 = [tex]\frac{RQ}{9}[/tex]
RQ = 9×0.819152
RQ = 7.37
≈ 7.4
Related Questions
please help it's urgent.
Answers
Answer:
It is the second triangle.
Step-by-step explanation:
This is because the area of the square is given as 25^2 as the perpendicular, 144^2 as the base, and the hypotenuse is 169^2.
Length of the perpendicular = 5^2 (Because 25^2 / 5^2)
Length of the base = 12^2
Length of the hypotenuse = 13^2
So, the Pythagoras theorem is,
=> [tex]H^{2} = P^{2} + B^{2}[/tex]
=> [tex]13^{2} =12^{2} +5^{2}[/tex]
This is true, because, 13*13 = 12*12 + 5*5
=> 169 = 144 + 25
=> 169 = 169
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The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?
Answers
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can run 3 miles in 60 minutes.
The time to run 1 mile is 20 minutes.
We have,
The rate at which the amount of seed decreases.
10.8 ounces = 5 days
Divide both sides by 5.
10.8/5 ounces = 1 day
Multiply 7 on both sides.
7 x 2.16 ounces = 7 days
15.12 ounces = 7 days
This means that in 7 days, the amount of seed decreases by 15.12 ounces.
Thus,
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
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A restaurant use 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake?
Answers
Answer:
1 3/8 pounds
Step-by-step explanation:
divide 8 1/4 by 6
Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function h(t)=-5t^2+14t+3 When will the ball hit the ground
Answers
Answer:
The time the ball will hit the ground is 1.4s
Step-by-step explanation:
Given;
function of the ball's motion; h(t)= -5t²+ 14t + 3h
The final velocity of the ball, v , is given as;
v = dh/dt
v = -10t + 14
When the ball hits the ground, the final velocity, v = 0
v = -10t + 14
0 = -10t + 14
10t = 14
t = 14 / 10
t = 1.4s
Therefore, the time the ball will hit the ground is 1.4s
Opposite sides are supplementary? True or False ?
Answers
Answer:
It's true!
Step-by-step explanation:
I hope I helped!
Answer:
False because they are congruent
Step-by-step explanation:
The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the information the manager requires?
A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
E. an online poll that invites all people from the neighborhoods in the area to participate
Answers
Answer:
defintly A
Step-by-step explanation:
because all the others are inconvenient and bad
Answer:
D
Step-by-step explanation:
Because you want to be able to see data from all neighborhoods.
what’s 8.43 x 10^7 in standard form?
Answers
Simply move the decimal place to the right 7 places
Heeelp
. Can someone please answer this to meee ?
.
Answers
Answer:
If f(x)=g(x), the solution is x=-2
Step-by-step explanation:
We are given:
[tex]f(x)=3x+3\\g(x)= (-1/2)x-4[/tex]
We need to find the solution if f(x)=g(x)
Now solving for f(x)=g(x)
[tex]f(x)=g(x)\\3x+3=(-\frac{1}{2}x)-4\\3x+3=-\frac{1}{2}x-4\\3x+\frac{1}{2}x=-4-3\\\frac{3x*2+x}{2}=-7\\\frac{6x+x}{2}=-7\\\frac{7x}{2}=-7\\x=-7*\frac{2}{7}\\x=-2[/tex]
If f(x)=g(x), the solution is x=-2
Express 6 3/4 in simplest radical form
Answers
Answer:
4√6^3
Step-by-step explanation:
One day a jewelry maker sold
42
%
of the
250
pieces of jewelry at the store. How many pieces of jewelry did the jewelry maker sell that day?
Answers
Answer:
208
Step-by-step explanation:
because 250-42=208
Answer/Step-by-step explanation:
The jewelry maker sold 105 pieces of jewelry.
23. ANALYZING EQUATIONS
The cross section (with
units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x^2
How far is the
receiver from the vertex of the cross section? Explain.
Answers
Answer:
9.5 in
Step-by-step explanation:
The receiver is placed at the focus of the parabola at a distance of 1/4a from the vertex. Here that would be 1/(4*(1/38)) or 38/4 inches or 9.5 in
The receiver lies 9.5 inches far from the vertex of the cross-section.
Given that,
The cross-section (with units in inches) of a parabolic satellite dish can be modeled by the equation y=1/38 x².
To determine how far is the receiver from the vertex of the cross-section.
A parabola is a cross-section cut out of the cone and represented by an equation, y =4ax².
Here,
The receiver is located near the parabola's focus, 1/4a away from the vertex. That would be 1/(4×(1/38)) or 38/4 inches or 9.5 in. in this case.
Thus, the receiver lies 9.5 inches far from the vertex of the cross-section.
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I need to know the answer to part b please
Answers
Answer:
Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.
GARDENING A gardener uses a grow light to grow vegetables indoors. If m∠1=(8x)° and m∠2=(7x−4)°, what is m∠1?
Answers
Answer: 64
supplementary angles; 180-116=64
The m∠1 is 64.
Given that,
A gardener uses a grow light to grow vegetables indoors. If m∠1=(8x)° and m∠2=(7x−4)°Based on the above information, the calculation is as follows:
= 180 - 116
= 64
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what does 3x^2+8x-10 equal?
Answers
Answer:
0.927
Step-by-step explanation:
just plug it in to a algebraric calculator!
0.927
si a= 2 m y b= 3m,¿Cual es el valor numerico del area en metros cuadrados?
Answers
Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?
Answers
Answer:
The puppy's adult weight would be 25 lbs.
Step-by-step explanation:
5 / .20 = 25
To check:
25 x .20 = 5
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the following chart shows the number of rows in an auditorium and the total number number of seats. what equation defines the number of seats with respect to the number of rows?
a. s=20r+100
b. s=40r+120
c. s=20r+60
d. s=20r
Answers
Answer:
The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.
The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.
Given that;
The chart shows the number of rows in an auditorium and the total number of seats.
Since, The equation is satisfy the given numbers in chart.
So, Let an equation for chart;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Now, Substitute the value of r = 20 for the number of first rows in above equation we get;
s = 20 × 20 + 60
s = 400 + 60
s = 460
And, For second row, r = 45
s = 20 × 45 + 60
s = 900 + 60
s = 960
Thus, The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
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A 12 foot ladder is leaning up against a wall. If the angel made between the ladder and the ground is 80 degrees. How far up can the ladder reach the wall? Round to the nearest tenth of a foot
Answers
Answer:
11.8 feetStep-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
At the grocery store, 5 pounds of ham costs $21.65. How much would 50 pounds of ham cost?
Answers
Answer:
$216.50
Step-by-step explanation:
Set up a proportion
5/21.65= 50/x
Question
Enter an equation in point-slope form for the line.
(2, 4) and (3, 3) are on the line.
An equation of the line in point slope form is:
Answers
Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
(2, 4) and (3, 3) are on the line. So, slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-4}{3-2}[/tex]
[tex]m=\dfrac{-1}{1}[/tex]
[tex]m=-1[/tex]
The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is
[tex]y-4=-1(x-2)[/tex]
Therefore, an equation of the line in point slope form is [tex]y-4=-1(x-2)[/tex].
Does 80/100 equal -8
Answers
Answer:
No.
Step-by-step explanation:
80/100 equals 0.8
-16h = 112
Help please
Answers
Answer:
-16h=112
Step-by-step explanation:
inverse operations
-16h/-16=112/-16
h=-7
Kiara made the table below to show the IQ scores and grade point averages (GPAs) of students in her class. She made another table to show the standardized test scores and IQ scores.
IQ, GPA, and SAT Scores
IQ
GPA
IQ
Standardized Test Score
120
3.7
120
1540
85
2.3
85
800
110
3.0
110
1,200
96
2.7
96
1000
100
2.9
100
1100
She graphs the data in each table and writes the rounded values as shown for the regression line y = a x + b.
I Q and G P A. a = 0.04. b = negative 0.9. I Q and Standardized Scores. A = 20. b = negative 924.
Next, Kiara uses the steps below to predict a student’s standardized test score based on the student’s GPA of 4.0.
Step 1 Write the equation of the trend line for IQ and GPA.
y = 0.04 x minus 0.9
Step 2 Write the equation of the trend line for IQ and standardized test score.
y = 20 x minus 924
Step 3 Find the IQ that is expected from a GPA of 4.0.
y = 0.04 x minus 0.9. 4 = 0.04 x minus 0.9. 4.9 = 0.04 x. 122.5 = x.
The IQ is about 122.5.
Step 4 Find the corresponding standardized test score for an IQ of 122.5.
122.5 = 20 x minus 924. 122.5 = 20 x minus 924. y = 523.
The standardized test score is 523.
In which step did Kiara make the first error?
step 1
step 2
step 3
step 4
Answers
Answer:
Step 4 D
Step-by-step explanation:
Answer:
step 4
Step-by-step explanation:
What is the missing term in the trinomial expression below?
(2x+2)(7x+8)=14x2+_______+16
A. 14x
B. 30x
C. 9x
D. 5x
Answers
Answer:
14 i hope this leads you into the good
Hurryyy !!! Lincoln Glass pays it workers overtime if they work on weekends or
holidays. Overtime is 1/2 times the usual hourly pay. If Tim was
earning $8.25 an hour, how much would he get for 1 hour of
overtime? For 8 hours of overtime?
Answers
Step-by-step explanation:
since overtime is 1/2 the usual pay which is 8.25 or 8 1/4 then its 8 1/4 (divided) by 1/2 which is equal to 4.125 or 4 1/8 so: in 1 hour the workers get paid 4 1/8 dollars and in 8 hours its 8 x 4 1/8 which is equal to 33
really hope this helps :) good luck
#Answer:
1 hour = $4.13 (rounded) . 1 hour = $4.125 (not rounded)
8 hours = $33.04 (rounded) 8 hours = $33 (not rounded)
Step-by-step explanation:
Comment trouver les valeurs à mettre dans une table de valeurs selon le problème?
Answers
Answer:
How to find the values to put in a table of values according to the problem?
Step-by-step explanation:
-5n - 3(1+2n) = -25
Answers
Answer:
Step-by-step explanation:
-5n-3(1+2n)= -25
-5n-3-6n= -25 Distributive property (-3*1) and (-3*2n)
-11n-3= -25 -5n-6n = -11n
+3 +3 Add 3 to both sides to leave n alone
-11n= -25
----- ----- Divide by -11 on both sides to get n alone.
-11 -11
n= -2.2727272....
You should round however instructions are given.
Anybody know the slope to this?
Answers
1. Given f(x) = 3x – 4 and g(x)=–2x+7 evaluate:
(fog)(5)
Answers
Answer:
(f o g)(5) = -13
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
f(x) = 3x - 4
g(x) = -2x + 7
(f o g)(5) is f(g(5))
Step 2: Find composite function
Substitute: (f o g)(x) = 3(-2x + 7) - 4Distribute: (f o g)(x) = -6x + 21 - 4Combine like terms: (f o g)(x) = -6x + 17Step 3: Solve
Substitute: (f o g)(5) = -6(5) + 17Multiply: (f o g)(5) = -30 + 17Add: (f o g)(5) = -13Question 1
Find an expression equivalent to 8(2x+1)(x-2)(x+3)
Answers
Answer:
18x + 13
Step-by-step explanation:
just add like terms after multiplying 2x + 1 by 8
16x + 8
x - 2
x + 3
18x + 13