Step-by-step explanation:
In ΔKLM, l = 570 cm, k = 490 cm and ∠K=46°. Find all possible values of ∠L, to the nearest degree.
K
L
M
k = 490
l = 570
46°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin L}{570}=\frac{\sin 46}{490}
570
sinL
=
490
sin46
Plug in values.
\sin L=\frac{570\sin 46}{490}\approx 0.836783
sinL=
490
570sin46
≈0.836783
Evaluate.
L=\sin^{-1}(0.836783)\approx 56.8\approx 57^{\circ}
L=sin
−1
(0.836783)≈56.8≈57
∘
Inverse sine and round.
\text{Quadrant II: } 180-57=123^{\circ}
Quadrant II: 180−57=123
∘
Sine is positive in quadrants 1 and 2.
\text{Check for possibility:}
Check for possibility:
No triangle's angles may add to more than 180.
46+57=103
46+57=103
∘
←Possible
Less than 180.
46+123=169}
46+123=169
∘
←Possible
Less than 180.
Answer: 57
and 123
The measure of angle L from the given triangle KLM is 57°.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c. Where, A=angle A, a=length of side a, B=angle B, b=length of side b, C=angle C and c=length side c.
Given that, in ΔKLM, l = 570 cm, k = 490 cm and ∠K=46°.
By using sine rule in the triangle KLM, we get
sinL/l=sinK/k
sinL/570=sin46°/490
Here, sin46°=0.7193
sinL/570=0.7193/490
sinL/570=0.001467
sinL=0.8367
∠L=sin⁻¹(0.8367)
∠L=57°
Therefore, by using sine rule the measure of angle L is 57°.
Learn more about the sine rule here:
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can somebody please answer this. I will give brainliest answer.
Answer:
121.21 people per square mile
Step-by-step explanation:
area = 1/2(12 + 21)(14) = 231 mi²
28,000/231 = 121.21 people per square mile
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
Trent has $500 in his savings account. If he spends $25 each week, how much money will he have left after 8 weeks? Explain
Answer:
300
Step-by-step explanation:
25×8= 200 spent
500-200=300 left
Answer:
=> $300
Step-by-step explanation:
here's your solution
=> Amount of money Trent has = $500
=> Amount spent by him in one week = $25
=> Amount left with him after 8 weeks =
= $500 - ($25*8)
=> $500 - $200
=> Amount left = $300
hope it helps
DONT ANSWER IF YOU DONT KNOW, if you do please answer
Answer:
the answer is c 253.5
Step-by-step explanation:
6.5×6.5+6.5×6.5+6.5×6.5+6.5
×6.5+6.5×6.5+6.5×6.5
=253.5
pls answer I'll mark brainliest the question is in the picture also please explain how you solved
Answer:
D) 36π[tex]a^6b^9[/tex]
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
Given:
r = 3a²b³
Work:
V = 4/3πr³
V = 4/3π(3a²b³)³
V = 4/3π(27[tex]a^6b^9[/tex])
V = 36π[tex]a^6b^9[/tex]
f(x) = (x + 1)(x - 3)(x-4)
What goes in the missing spaces? Help me plz
Answer:
6 | 3
30 | 15
40 | 20
56 | 28
Step-by-step explanation:
You need to find out how many spring rolls will feed a single person
[tex]\frac{6}{3}=2[/tex]
then use this to multiply by two if you want number of rolls, or divide by two if you want to get number of people that can be fed.
Which is an example of a statistical question?
Questions
Question 1 How many pets does Alisha have at home?
Question 2 How old were you when you got your first pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?
Answer:
3??
Step-by-step explanation:
im trying, sorry if its wrong :(
Answer:
its a
Step-by-step explanation:
im positive
Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:
• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5
• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?
• Jenny will be serving milk with the meal. She plans on using 8 oz. glasses. How many gallons of milk does she need to make sure everyone gets one glass of milk?
Answer:
The answer is below
Step-by-step explanation:
a) The recipe for the meat loaf used by Jenny can serve a total of 8 people. Since there are 40 people in total to serve, the number of each ingredient needed is:
Number of each ingredient = total number of people / number of people served by one recipe
Number of each ingredient = 40 / 8 = 5
b) Since each recipe contains 1 1/2 lb (1.5 lbs) of ground beef, the total amount of ground beef needed to feed everyone is:
Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs
c) Since one serving would require 8 oz of milk. To serve everyone, the amount of milk needed is:
Amount of milk = 40 people * 8 oz = 320 oz
128 oz = 1 gallon
Amount of milk = 320 oz * 1 gallon / 128 oz = 2.5 gallon
The quantity of the recipe needed for a given number of people is found
by a multiple of the recipe for 8 people.
First question: The number with which to multiply the ingredient is 5.Second question: The amount of ground beef needed is 7.5 lbs.Third question: The number of gallons of milk needed is 2 gallons.Reasons:
The total number of people at the party = 40 people
The number of people the recipe serves = 8 people/recipe
First question:
The number Jenny should multiply the ingredient to make enough for everyone is [tex]\mathbf{\dfrac{40 \ people}{8 \, people \, per \, recipe}} = 5 \times Recipe[/tex]
Therefore;
To make enough meat loaf for everyone, Jenny should multiply each ingredient by 5.
Second question:
The amount of ground beef required = [tex]1\frac{1}{2}[/tex] lbs.
Amount of ground beef required for everyone = 5 × [tex]\mathbf{1\frac{1}{2}}[/tex] lbs = 7.5 lbs.
Third question:
The volume of each glass of milk Jenny is serving = 8 oz.
The number of glasses of milk Jenny need = 40 glasses
The volume of the 40 glasses = 40 × 8 oz. = 320 oz.
Volume of one gallon (imperial) = 160 fluid ounce = 160 oz.
Therefore;
320 oz = 2 × 160 oz. = 2 × 1 gallon = 2 gallons
The number of gallons of milk Jenny needs to make sure everyone gets
one glass of milk is 2 gallons of milk.
Learn more here:
https://brainly.com/question/16154116
[2m-n+p]^2-[2m+n-p]^2
Answer:
( 2m - n + p )² - ( 2m + n - p )² = 4m² + n² + p² - 4mn + 4mp - 2np - ( 4m² + n² + p² + 4mn - 4mp - 2np ) = 4m² + n² + p² - 4mn + 4mp - 2np - 4m² - n² - p² - 4mn + 4mp - 2np = -8mn + 8mp
Which of the following shows the sample space for spinning the spinner one time?
Answer:
There are two colors and 8 numbers.
One color is represented by 3 numbers 2, 3, 7
The second color is represented by 5 numbers 1, 4, 5, 6, 8
P(color 1) = 3/8P(color 2) = 5/8Simplity each expression using the distributive property.
1. 6(3x -4)
Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.
Given:
Consider the given function is:
[tex]f(x)=x^2-8x+13[/tex]
To find:
The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
We have,
[tex]f(x)=x^2-8x+13[/tex]
At [tex]x=-1[/tex],
[tex]f(-1)=(-1)^2-8(-1)+13[/tex]
[tex]f(-1)=1+8+13[/tex]
[tex]f(-1)=22[/tex]
At [tex]x=6[/tex],
[tex]f(6)=(6)^2-8(6)+13[/tex]
[tex]f(6)=36-48+13[/tex]
[tex]f(6)=1[/tex]
Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:
[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]
[tex]m=\dfrac{1-22}{7}[/tex]
[tex]m=\dfrac{-21}{7}[/tex]
[tex]m=-3[/tex]
Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.
Find the area of the shaded region.
Give the exact answer.
60°
0
6
A =
Answer:
25.35
Step-by-step explanation:
Area of the shaded portion = Area of semicircle - Area of the right triangle
Area of semicircle = πr²/2
Area of semicircle = 3.14(6)²/2
Area of semicircle = 3.14 * 18
Area of semicircle = 56.52
Area of triangle = 1/2 * base * height
Get the height using the SOH CAH TOA identity
sin 60 = H/12
H = 12sin60
H = 12(0.8660)
H = 10.39
Get the base
12² = b²+10.39²
144 = b²+108
b² = 144 - 108
b² = 36
b = 6
Area of triangle = 1/2 * 6 * 10.39
Area of triangle = 3 * 10.39
Area of triangle = 31.17
Area of shaded portion = 56.52 - 31.17
Area of shaded portion = 25.35
You decide to buy a new camera for $178.50. It is on sale for 15% off.
If you happen to attend John Paul Jones Intermediate School, you get an extra
33% off. Find the final price.
Answer:
$85.68 is the final price
Step-by-step explanation:
Add 15% and 33% to get 48%
48% of $178.50 is $85.68
Suppose you own 100 shares of stock. It pays $1 per share in dividend. How much will you
receive every quarter?
Answer: $25
Step-by-step explanation:
You own 100 shares of the stock and it pays $1 per share as dividend.
Amount of dividends you receive will therefore be:
= 100 * 1
= $100
Dividends are however, quoted on a yearly basis. The quarterly dividend received would be:
= 100 / 4 quarters
= $25
Food provides not only energy but also other important nutrients such as (3)?
Answer:
Step-by-step explanation:
Nutrients also provide building blocks for repair, growth, and regulates substance that effect chemical processes
(no files!!)Write an equation that can be used to find the nth term of the sequence, an. 80, 105, 130, 155, 180, ... Enter your answer by filling in the boxes. an =__n +__
Answer:
The equation is
an=25n+55
Plz help will mark brainliest
Help! (Easy, but I’m making it way too hard)
A 50-ounce bottle of cranberry juice has 30 ounces of water, What percent of the bottle of cranberry juice is water?
Answer:
60%
Step-by-step explanation:
30 60
---- = ---- = 60%
50 100
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
to get average you need to add everything and divide by the number of the datas there are, which is the mean
i need 3, 4, 5 pretty peaseeeee
Answer:
2. 7/4
3. D
4. -25/77
5. -3
Step-by-step explanation:
x2 + y2 -2x + 24y +120 = 0
Find the center and radius of this circle by converting it to (x-h)2 + (y-k)2 =r2
Answer:
r=5 O(1;-12)
Step-by-step explanation:
x² + y² -2x + 24y +120 = 0
⇒ x²-2x+1+ y²+ 24y+144-145+120 = 0
⇒ (x-1)²+ (y+12)²=25 and (x-h)² + (y-k)² =r²
so, h=1 k=-12 r=√25=5
center is O(h;k) O(1;-12)
These box plots show daily low temperatures for a sample of days in two
different towns.
Town A
15 20
30
40
45
Town B
15 20
25 30
58
0
5
10
15
45
50 55
60
20 25 30 35 40
Degrees (F)
Compare the shapes of the box plots.
A. The distributions for both towns are positively skewed.
OB. The distribution for town A is symmetric, but the distribution for
town B is positively skewed.
C. The distribution for town A is symmetric, but the distribution for
town B is negatively skewed.
D. The distributions for both towns are symmetric.
Answer:
The answer is B.
Step-by-step explanation:
As you can see, box plot A is symmetrical so that applies to answers A and B. However, box B is very skewed to the right which makes it positively skewed so answer B is the only one that matches the correct description of the two box and whisker plots.
We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
The distribution for town A is symmetric, but the distribution for town B is positively skewed.
We can determine the skewness of the distributions by comparing the position of the median with respect to the quartiles.
In town A,
The median (30) is located at the center of the box, and the first and third quartiles (20 and 40, respectively are equidistant from the median.
This indicates a symmetric distribution.
In town B,
The first and third quartiles (20 and 30, respectively) are closer to the median (25) on the left-hand side of the box than on the right-hand side. This indicates a positively skewed distribution.
Therefore,
We can conclude that the distribution for town A is symmetric, but the distribution for town B is positively skewed.
Learn more about the interquartile range here:
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NOTE: Angles not necessarily drawn to scale.
Please help me I need this right now like righttttt nowwwww
Answer:
B. is the answer
hope this helps
have a good day
Step-by-step explanation:
The answer is y = 3x + 8, therefore it is B. Have a nice day.
i really need someone to answer this
A tv has a listed price of 747.98 before tax. If the sales tax rate is 8.25% find the total cost of the tv with sales tax included. Round your answer to the nearest cent as necessary
Answer:
809.69
Step-by-step explanation:
747.98(.0825)=61.708
747.98+61.708=809.688
El interior de un tanque que contiene agua, tiene una presión manométrica de 300 kPa. ¿Qué profundidad tiene el tanque de agua?
Respuesta:
30,6 metros
Explicación paso a paso:
Dado :
Presión = 300 Kpa
Usando la fórmula que relaciona la presión y la profundidad:
Presión = profundidad * aceleración debida a la gravedad * densidad del agua
Densidad del agua = 1000 kg / m³
Presión = 300Kpa = 300 * 10 ^ 3 Pa
300 * 10 ^ 3 Pa = profundidad * 9,8 * 1000
300000 = profundidad * 9800
Profundidad = 300000/9800
Profundidad = 30,612
Profundidad = 30,6 m
How do I simplify this?
Step-by-step explanation:
The given question is wrong, so first of all we have correct this one.
The answer is given in picture, u can look.
I think this one is help u
Claire wants to start a stamp collection. She spends $15 on an album to hold her stamps and $1.25 for each stamp. If she has $40, what is the maximum number of stamps she can buy?
Answer:
20
Step-by-step explanation:
40 - 15 = 25
25/1.25=20