Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) [tex]\frac{12.8}{sin(63)} = \frac{12.4}{sin (B)}[/tex]
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
9. a) In a school of 800 students, 5/8 are boys and rest girls.
1) Find the number of boys and girls.
2) Find the percentage of boys and girls.
A.) we know,
=》
[tex] \dfrac{5}{8} \: \: of \: total \: students \: = boys[/tex]
=》
[tex] \dfrac{5}{8} \times 800 [/tex]
=》
[tex]5 \times 100[/tex]
=》
[tex]500 \: \: boys[/tex]
now,
number of girls :
=》
[tex]800 - 500[/tex]
=》
[tex]300 \: girls[/tex]
Answer:
There are 500 boys and 800 girls
I hope it helps
have a nice day
좋은 하루 되세요
# 캡틴 파워
#Captainpower
which relation is not a function? A. {(2, 3), (4, 5), (10, 12), (15, 16) B. {(-5, 20), (6, 13), (8,20),(11,8) C. {(0, 8), (0, -4), (7, 4), (12, 1) D. {(4, 1/4), (9, 1/9), (17, 1/7), (18, 1/8)
please help
Answer:
C. {(0, 8), (0, -4), (7, 4), (12, 1)
Step-by-step explanation:
hope it help
good luck
8X=35
WHAT IS THE VALUE FOR X THAT MAKES THE EQUATION TRUE?
Answer:
x= 35/8 or 4 3/8
Step-by-step explanation:
8X=35
/8 /8
x= 35/8
x= 4 3/8
?????????????????????????????
SA=240sq.cm
have an amazing day <3
Give brainliest! F (x) = x³ + x² - x + 2 and G (x) = x² + 5 What is (FG)(x)?
Answer:
Step-by-step explanation:
My guess is x^5+x^4-X+7
Answer:
(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147
Step-by-step explanation:
Assuming that (FG)(x) = F ° G (x) = F(G(x))(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2
_________________________________
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a + b)² = a² + 2ab + b²
_________________________________
(F ° G) (x) =
((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =
(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =
x⁶ + 16x⁴ + 84x² + 147
In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?
HELP ME PLS PLS PLS OH PLS
Answer:
49 - 49 = 0
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
How much time does it take for a bird flying at a speed of 45km/h to travel a distance of 1800km?
Answer:
40 hours
Step-by-step explanation:
Time=Distance/Speed
Time=1800/45
Time=40 hrs
Answer:
[tex]40h[/tex]
Step-by-step explanation:
[tex]speed = \frac{distance}{time} \\ time = \frac{d}{s} \\ = \frac{1800km}{45kmh ^{ - 1} } \\ = 40h[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
A shipping crate is packed with unit cubes the length of the crate is four units the width is two units and a height is four units find the volume of the shipping crate
Answer:
32 unit cubes
Step-by-step explanation:
Volume = length x width x height
Volume = 4 x 2 x 4
Answer:
32 unit cubes
Step-by-step explanation:Volume = length x width x height
Volume = 4 x 2 x 4
HELPPPP!!!! ASAPPPP!!!
Answer:
It's 110°
Step-by-step explanation:
180 +70 = 250.
360-250=110
Find m<1, m<2, and m<3
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
what two numbers add to 13 and subtract to 3?
Answer:
8 and 5.
Step-by-step explanation:
x - y = 3
x + y= 13
by elimination method ,we get
2x = 16
x = 16/2
x = 8
8 + y = 13
y = 13 - 8
y = 5
x = 8 ,y = 5
Answer:
8 and 5
Step-by-step explanation:
solve the following
x^2-2x-24=0
X^2-11+18=0
Answer:
x=-11
Step-by-step explanation:
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answer:
x = 4.3588989435406
I hope it's helps you
Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?
Answer:
(a) Domain: All real numbers except -2
(b) [tex]f(x) > -4[/tex]
Step-by-step explanation:
Given
See attachment for f(x)
Solving (a): The domain
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
To get the domain, we consider the inequalities attached to each of the piece-wise function
[tex]x < -2[/tex]
This implies that the values of x is less than -2 i.e.
[tex]x = \{.......,-4,-3\}[/tex]
[tex]-2< x<0[/tex]
This implies that x is greater than -2 and less than 0 i.e.
[tex]x = \{-1\}[/tex]
[tex]x \ge 0[/tex]
This implies that x is greater than or equal to 0 i.e.
[tex]x =\{0,1,2,3,....\}[/tex]
If these values of x are merged, we have:
[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]
[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]
-2 is not included in the above values of x.
Solving (b): The range
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
Substitute the greatest value of x in each piece-wise function.
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]x=-2[/tex]
So;
[tex]f(-2) = -2-2 = -4[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]x = -2[/tex]
So:
[tex]f(-2) = -2^2 = -4[/tex]
[tex]f(x) = x, x \ge 0[/tex]
[tex]x = \infty[/tex]
So;
[tex]f(\infty) = \infty[/tex]
We have:
[tex]f(-2) =-4[/tex]
[tex]f(-2) =-4[/tex]
[tex]f(\infty) = \infty[/tex]
The smallest value of f(x) is -4
Hence, the range is:
[tex]f(x) > -4[/tex]
Answer:
Domain is
B)
(-infinity, -2) U (-2, infinity)
Range is (-4, infinity)
Step-by-step explanation:
go it correct
edge2022
Mr. Glass solved a system of equations using substitution and got the following result:
12= -4
What should he write as his final answer?
Answer: no solution
Step-by-step explanation:
Which type of triangle is formed given the following angle measurements?
Angle 1: 60 degrees
Angle 2: 60 degrees
Angle 3: 60 degrees
Answer:
equilateral
Step-by-step explanation:
all angles are the same size. Has to be equilateral
Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7
Answer:
No, it is not a solution
Step-by-step explanation:
Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;
7x-2≤y<4x+7
Equate both values of y, the point of intersection occurs when;
7x-2 = 4x+ 7
7x - 4x = 7 + 2
3x = 9
x = 9/3
x = 3
Substitute x = 3 into y = 7x - 2
y = 7(3) - 2
y = 21 - 2
y = 19
Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect
Can someone help me with this problem? Its due today plz i need help! I will give brainlist if it is right!
Answer:
A (-4,0), B (0,3) and C (-6,5)
Step-by-step explanation:
The coordinates for A are (-4,-3) B (0,0) and C (-6,2)
From there just add 3 to all theY values
The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)
Hope that helps!
Find the volume of the regular prism
Answer:
64
Step-by-step explanation:
Here is why:
The formula for Volume is Length * Width * Height
In this case 4*8*2.
Any Questions?
The correct answer is 64 square cm.
The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).
Input the values first:
4 x 8 x 2
Then calculate the expression:
4 x 8 x 2 = 64
I hope this helps; have a wonderful day!
Which item is discounted by more than 15%
A. $199.99 smartphone on sale for $167.99
B. $28,100 car on sale for $24,750
C. $58 jeans on sale for $50
D. $1.99 song download on sale for $1.75
Answer:
A
Step-by-step explanation:
Brody deposited $500 into a savings account that earns 2.1% simple interest. What is the total amount in his account after 7 years?
Answer:
73.5
Step-by-step explanation:
Part/whole=percent/100
?/500=2.1%/100
500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.
So, 10.5 times 7 is 73.5
John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00
Answer:
The correct answer is $515,840.00
Step-by-step explanation:
Answer:
The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.
Step-by-step explanation:
The increment is 4% each year.
What is increment?
Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.
What is lease?
A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.
What is hundredth?
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.
We use the formula,
[tex]A=P(1+\frac{R}{100})^{n}[/tex]
[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]
The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.
To know more about lease, hundredth, increment here
https://brainly.com/question/14804073
#SPJ2
Someone help plz make sure it’s right will mark brainiest if it is :)
Answer:
23
Step-by-step explanation:
330 six graders were asked what their favorite sport is. 20% said baseball, how many students said baseball
Answer:
66
Step-by-step explanation:
10% of 330 = 33
another 10% of 330 = 33
therefore, 20% of 330 = 66
HELP!(WILL GIVE BRAINLIEST) I ALSO HAVE LOTS OF POINTS IN MY PROFILE.
Julie Fargus deposits $450 in a savings account at City Bank. The account pays an annual interest rate of 3.125 percent. She makes no other deposits or withdrawals. After nine months the interest is calculated. How much simple interest does her money earn?
Answer:
$10.55
Step-by-step explanation:
help ls will give brainliest to the first person with a good answer
Answer:
I think its 90 degrees or 60 degrees
A cylinder has a height of 17 inches and a radius of 8 inches what is the use π = 3.14 and round your answer to the nearest hundredth
Answer:
3418.05
Step-by-step explanation:
Baking flour mixture was made by combining 4 ounces of bleached flour which costs $8 per
ounce with 16 ounces of unbleached flour which costs $3 per ounce. What is the cost per ounce
of the mixture?
4 ounces x $8 per ounce = $32
16 ounces x $3 per ounce = $48
4 ounces + 16 ounces = 20 total ounces
$32 + $48 = $80 total cost
$80 / 20 ounces = $4 per ounce cost
plz help will mark brainlist
Answer:
1. 1/7
2. 1/4
Step-by-step explanation:
maths