Answer:
Step-by-step explanation:
By applying sine rule in ΔACD,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{CD}{AD}[/tex]
[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]
z = [tex]8\sqrt{3}[/tex]
By applying cosine rule in ΔACD,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(30°) = [tex]\frac{AC}{CD}[/tex]
[tex]\frac{1}{2}=\frac{AC}{24}[/tex]
AC = 12
By applying tangent rule in ΔACB,
tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1 = [tex]\frac{AC}{BC}[/tex]
y = 12
By applying sine rule in ΔACB,
sin(45°) = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]
x = y(√2)
x = 12√2
Which of the following pairs show(s) triangles that are similar but not congruent?
Answer:
B and C
Step-by-step explanation:
HELP WITH QUESTION 2 PLEASE! I’ll give you brilliance
Answer:
A : 25 , B: 14 , C : 15 , D: 12
D: first you add them it will be 11.8 you round it the nearest tenth of a unit it will be 12 I'm not sure of my answers I hope that I helped you .
If 50 students were surveyed, how many chose
chocolate?
V 20 students
If 80 students were surveyed, how many chose vanilla?
20 students
Answer:
If 50 students were surveyed, how many chose
chocolate?
20 students
If 80 students were surveyed, how many chose vanilla?
20 students
Step-by-step explanation:
Joy plans to use a circular tarp to cover her circular picnic table. Which of the following statements is true?
a. Joy can use the height of the picnic table to determine the size of the tarp necessary. b. Joy can use the area to determine the size of the tarp necessary. c. Joy can use volume to determine the size of the tarp necessary. d. Joy can use the perimeter to determine the size of the tarp necessary.
Answer:
A:Joy can use the height of the picnic table to determine the size of the tarp necessary
You go to the store to buy a Playstation 5 which cost 499 dollars. If you had to
pay San Jose's sales tax which is 9.25%. How would you solve the problem to find
the total cost? *
What is the total cost?*
Answer:
$545.1575
Step-by-step explanation:
Given function:
499,9.25Solve ways:
combine 9.25% of 499 and 499Multiply 9.25 by 0.01:
[tex]9.25%[/tex]·[tex]0.01=0.0925[/tex]Multiply the cost by 0.0925:
[tex]499[/tex]·[tex]0.0925= 46.1575[/tex]Combine 46.1575 by the first value:
[tex]499+ 46.1575= 545.1575[/tex]Therefore, the PlayStation 5 will be a total cost of $545.1575.
427 is what percent of 305
Answer:
140.00%
Step-by-step explanation:
Step 1: Percentage Formula = Number1/Number2 x 100
Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%
What is
427
out of
305
as a percentage? = 140.00%
Hope this helped a lot
Plz give brainliest
National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smokers, and a random sample of 155 women surveyed indicated that 42 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
Answer:
98% C.I. = [-0.1270, 0.0994]
Step-by-step explanation:
Here
p1= proportion of men smokers
p1= 45/175= 0.2571
p2= proportion of women smokers
p2= 42/155= 0.2709
1) Choose the significance level ∝= 0.02
2) The formula for confidence interval is
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
and
(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
3) The z value is 2.05
4) Calculations:
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=-0.1270 ( using calculator)
And
(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=0.0994 ( using calculator)
and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)
US_
Diagram NOT
accurately draw
(x + 1)cm
(3 - x) cm
(2x + 5) cm
The diagram shows a cuboid of volume V cm3
(a) Show that V = 15 + 16x - x (squared) - 2x (cubed)
Answer:
Step-by-step explanation:
Length of the cuboid = ((2x + 5) cm
Width of the cuboid = (3 - x) cm
Height of the cuboid = (2x + 5) cm
Since, volume of the cuboid = Length × Width × Height
= (2x + 5)(3 - x)(x + 1)
= [2x(3 - x) + 5(3 - x)](x + 1)
= (6x - 2x² + 15 - 5x)(x + 1)
= (-2x² + x + 15)(x + 1)
= x(-2x² + x + 15) + 1(-2x² + x + 15)
= -2x³ + x² + 15x - 2x² + x + 15
= -2x³ - x² + 16x + 15
≈ 15 + 16x - x² - 2x³
HELP PLEASE , I NEED THIS DUE IN 10 MINUTES AND IM SO CONFUSED
Answer:
p+37 = 2p-50
87
m<I=124
Step-by-step explanation:
write an equation of the line that passes through (0 0) and (2 6)
Answer:
y = 3x
Step-by-step explanation:
Slope equation:
y2 - y1
--------
x2 - x1
----------------------------------------------------------------------------------------------------------------
6 - 0 6
m = ----------- = ----- = 3
2 - 0 2
Your slope is 3.
----------------------------------------------------------------------------------------------------------------
Equation:
y = mx + b
Plug in the slope and you get:
y = 3x + b
----------------------------------------------------------------------------------------------------------------
Now to find b, you can use either coordinate point. So I will show you both ways :)
(0,0) (2,6)
0 = 3(0) + b 6 = 3(2) + b
Multiply 0 and 3 Multiply 2 and 3
0 = 0 + b 6 = 6 + b
Subtract 0 to 0 Subtract 6 from 6
0 = b 0 = b
There is no y-intercept
----------------------------------------------------------------------------------------------------------------
Your answer: y = 3x
Hope this helped :)
Simplify the following expressions:
1. 3.46 + 0.6729 + 246.10
Answer: 250.2329
Step-by-step explanation:
plz help highly appreciated
Answer:
1a. y= -6x+30
1b. y= -6x-22
2a. y= 3x+2
2b. y= -1x+4
A grocer wants to mix two kinds of coffee. One kind sells for $1.00 per pound, and the other sells for $2.55 per pound. He wants to mix a total of 28 pounds and sell it for $1.35 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
PLEASE PLEASE HELP ME WITH MATH SO I PASS THIS YEAR!
Answer:
Step-by-step explanation:
since ∠PRS is supplemental with ∠VUW , that is the two angles add up to 180 degrees, you know that TV is parallel with QS
then the order of the answer from top to bottom are
1
2
5
6
4
3
If the probability of a cup drink being rasberry flavour is 0.29, what is the probability of a cup drink being cola flavour?
Answer: 0.71
Step-by-step explanation:
Since we have just two flavors, the probability of a cup drink being cola flavour will be calculated below:
P(R) + P(C) = 1
0.29 + P(C) = 1
P(C) = 1 - 0.29
P(C) = 0.71
Therefore, the probability of a cup drink being cola flavour is 0.71.
Based on the equation 7x+42=y predict the number of customers to visit the frozen yogurt when it's 10 degrees
Answer:
112 visitors
Step-by-step explanation:
Given the prediction equation :
y = 7x + 42
x = temperature
y = number of visitors (customers)
Number of visitors when temperature is 10 degree
y = 7(10) + 42
y = 70 + 42
y = 112
Hence, the model predicts that 112 customers will visit when temperature is 10 degrees
find the value of x plz help
Answer:
29 degrees
Step-by-step explanation:
Both angles are the same.
1/2 + 2/3 + 3/4, as a fraction
Answer:
D
Step-by-step explanation:
6/12+8/12+9/12=23/12=1 11/12
Answer:
D. 1 11/12
Step-by-step explanation:
Let's set up our common denominator first. To do this we need to find a number divisible by 2, 3, and 4.
Multiply 3 by 4 and you'll come out with 12. 12 is divisible by 2.
Now, multiply your fractions by the numbers they need to get the denominator to 12.
1/2 x 6/6 = 6/12
2/3 x 4/4 = 8/12
3/4 x 3/3 = 9/12
Add your numerators.
6 + 8 + 9 = 23.
Your fraction should look like 23/12.
Subtract 12 from 23 and you should get 11. Because 12 equals a whole, we can go ahead and put one.
1 and 11/12.
Question 9 (1 point)
(07.03 MC)
What is the solution to the following equation? (1 point)
8(2x - 10) + 18 = 4x + 22
O 1) 4
0 25
3) 7
4) 8
Answer:
7
Step-by-step explanation:
16x-80+18=4x+22
16x-62=4x+22
12x-62=22
12x=84
x=7
( 16.9 - 5.47 ) x 7.09 plzz i want with full solution
Answer:
81.03
Step-by-step explanation:
(16.9-5.47)×7.09
(11.43)×7.09
81.0387
OR
81.03
HOPE THIS HELPS YOU
Solve the system of equations below by graphing each line on the coordinate plane provided. Then place a point where the solution of the system occurs. 3x + 2y = 8 x + 2y = 4
PLEASE HELP WILL MARK BRAINLY
1. At the party, 65% of the children liked the chocolate cake. If 63 children did not like
chocolate cake, how many children were at the party in all?
2. While driving to Denver, the car travelled 1 mile per minute. How far would the car travel in 1 hour?
3. The team’s ratio of games won to games lost is 4 to 3. If the team played 42 games, how many did they win?
4. Cassie found that the ratio of bees to butterflies in the garden was 10 to 7. If there were 28 butterflies in the garden, how many bees were there?
5. Twenty thousand dollars in profit was made at the toy store during the holidays. This was five-ninths of the profit made by the store for the year.
a. The yearly profit made by the store was how much money?
b. How much profit was made during the rest of the year?
Answer:
1. At the party, 65% of the children liked the chocolate cake. If 63 children did not like
chocolate cake, how many children were at the party in all?
answer
answer35% 0f total children =63
answer35% 0f total children =63
total children =63×100/35=180
2. While driving to Denver, the car travelled 1 mile per minute. How far would the car travel in 1 hour?
answer
1 minute =1 mile travelled
1 hour =60minute=60mile travelled
3. The team’s ratio of games won to games lost is 4 to 3. If the team played 42 games, how many did they win?
answer
let ratio be 4x and 3x
4x+3x=42
x=42/7=6
won games =4x=4×6=24
4. Cassie found that the ratio of bees to butterflies in the garden was 10 to 7. If there were 28 butterflies in the garden, how many bees were there?
answer
let ratio be 10x and 7x
no of butterflies=7x=28
x=28/7=4
no of bees =10x=10×4=40
The cost of a ticket to the fair on Sunday is $4 per adult and $2per child. The fair made $840 that day. The ticket office knows that they sold 300 tickets. How many adult tickets did they sell?
Answer:
120 adult tickets
SOMEONE PLSSSS HELP ME!!!!!!!!!!!!!!!!!!!!
[tex]25x |2| - 16 \: \\[/tex]
Answer:
Step-by-step explanation:
a² - b² = (a +b)(a - b)
[tex]5x^{2} - 16 = 5^{2}x^{2} - 4^{2} \\\\= (5x)^{2}-4^{2}\\\\=(5x + 4)(5x - 4)[/tex]
The list shows the mileage rating (in mpg) for some 2019 vehicles with all-wheel or 4-wheel drive.
11, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 29, 30, 31, 32, 33, 34
Which interval has the greatest frequency?
10–15
15–20
20–25
25–30
Answer:
C
Step-by-step explanation:
Answer:
C
20-25
Step-by-step explanation:
Edge :3
4x + 5y = -2 . what is the slope show ur work
4x + 5y = -2
-5 -5
4x = -5y - 2
4x/4 = -5y -2/ 4
x = -5/4 y + -1/2
Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)
Answer:
[tex]g'(3)=\frac{1}{4}[/tex]
Step-by-step explanation:
There is a rule in calculus that tells us that:
[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]
In this case, we know that f(-2)=3, therefore:
g'(3)=g'(f(-2))
So, if we used the rule, we would get that:
[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]
we know that f'(-2)=4, so:
[tex]g'[f(-2)]=\frac{1}{4}[/tex]
or:
[tex]g'[3]=\frac{1}{4}[/tex]
Find the rule and complete the table
Answer:
In-33
out-58
rule, subtract 4
En un examen de matemáticas por cada respuesta correcta se suman 7 puntos, y por cada incorrecta se pierden 9, si el examen tiene 10 preguntas, y se obtuvo una calificación de 6 puntos, ¿Cuántas preguntas correctas e incorrectas se obtuvieron? *
Answer:
tuvo 6 preguntas correcta y 4 incorrectoas
Answer:
fjy jktdkhtdljrludli6fhf.
6itykcj,ydj,y
Step-by-step explanation:
ujf