Answer:
Answer: A
Step-by-step explanation:
The cos(theta) = adjacent / hypotenuse
The cos(theta) = 4/5
cos(theta) = 0.8
theta = cos^-1 (0.8)
theta = 36.9
theta = A
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour.
a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?
Answer:
6 to 4
Step-by-step explanation:
The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.
Solve 5x + 2y = 7 for "y".
Answer:
y= 7/2-5x/2
Step-by-step explanation:
5x+2y=7
2y=7-5x
y= 7/2-5x/2
There are 56 m&ms in a bag. They are all red or blue with a ratio of 3:4. How many blue m&ms are there?
32
24
56
36
Answer:
32
Step-by-step explanation:
3+4 = 7, 56/7 = 8, 8 * 4 = 32
Answer:
[tex]\huge\boxed{\sf 32\ m\&ms}[/tex]
Step-by-step explanation:
Red m&ms = 3x
Blue m&ms = 4x
Condition given:
3x + 4x = 56 (x being the unknown)
7x = 56
Divide 7 to both sides
x = 56 / 7
x = 8
So,
Blue m&ms = 4 (8) = 32 m&ms
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Lenny works at Lexus selling cars. His salary is $40,000 a year plus commission. He gets 1.25% commission on the cars he sells. Lexus cars are expensive and cost $50,000 each on average. After a year, Lenny sells $2,500,000 worth of cars. What is Lenny's total income after a year?
Answer:
$71, 250
Step-by-step explanation:
Given that:
Fixed salary of Lenny = $40,000
Commission on the cars sold by Lenny = 1.25%
Cost of each Lexus car = $50,000
Total worth of which cars are sold by Lenny = $2,500,000
To find:
Lenny's total income after a year?
Solution:
Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.
Fixed salary = $40,000
Commission earned = 1.25% of $2,500,000
[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]
Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250
who is in the range of 18 to 24 years of age that can help me with an issue.
Answer:
What is it?
Step-by-step explanation:
PLEASE PLEASE PLEASE Solve the literal equation a+4b=5b-3a for a.
Answer:
a=b/4
Step-by-step explanation:
subtract 4b from both sides to end up with a=b-3a and then add 3a to both sides to get 4a=b, and divide both sides by 4 to get a=b/4.
Answer:
a + 4b + 5b - 3a can only be solved by a little.
Step-by-step explanation:
a + 3a =3a.
4b + 5b = 9b.
we can't solve 9b - 3a, since they have different functions, so 9b - 3a is the answer.
i need to find angle C, side length AB and side length AC
-3 + 7n = 39 for n.
A. -6
B. 2
C. 6
D. 8
Answer:
C. 6
Step-by-step explanation:
7n = 42
n = 6
hope this helps
Answer:
C. 6Step-by-step explanation:
Given
-3 + 7n = 39Solving for n
-3 + 7n = 397n = 39 + 37n = 42n = 42/7n = 6Correct option is C. 6
please help asap!' 9th grade math!!
Graph the line with the equation y = 3x - 3.
Pleaseeee
Answer:
Graph the line using the slope and y-intercept, or 2 points.
Slope: 3
y-intercept: (0,-3)
⦁ Katelyn is making a set of three candles for her friend for Christmas. If the candles have a radius of 1 inch and a height of 4 inches, how much wax will she need to do all three candles?
Answer:
Approximately 38 cube inches of wax.
Step-by-step explanation:
The candle can be assumed to have the shape of a cylinder, so that;
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
where: r is the radius and h the height of the cylinder.
Thus,
volume of each candle = [tex]\pi[/tex][tex]r^{2}[/tex]h
But radius is 1 inch and height is 4 inches, then;
volume of each candle = [tex]\frac{22}{7}[/tex] x [tex]1^{2}[/tex] x 4
= [tex]\frac{22}{7}[/tex] x 1 x 4
= 12.5714
volume of each candle = 12.6 cube inches.
Therefore, for the three candles;
volume of the three candles = 3 x 12.5714
= 37.7142
volume of the three candles = 37.7142 cube inches
The amount of wax required for the three candles is approximately 38 cube inches.
Which comparison symbol makes each inequality statement true? Enter < , > , or = to make each statement true. Enter your answers in the boxes. −3.632 −3.792 |−3.632| |−3.792|
Answer:
−3.632 > −3.792
|−3.632| < |−3.792|
Step-by-step explanation:
Given :
−3.632 −3.792 |−3.632| |−3.792|
First comparison :
−3.632 −3.792
Using the knowledge of number line :
- 3.792 occurs farther to the left of a number line than - 3.632, and numbers which occurs farther to the left are lesser. Therefore,
−3.632 > −3.792
2.)
|−3.632| |−3.792|
The presence of the absolute value symbol annuls the negative sign in the digit given. Hence, we can view both numbers as being positive values as ; 3.632 3.792
Numbers further to the right of a number line are greater and 3.792 occurs farther to the right than 3.632.
Hence,
|−3.632| < |−3.792|
Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down
Answer:
ok? what am i supposed to do
Step-by-step explanation:
Answer:
The answers are 2, 6, 10, 2.
Step-by-step explanation:
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of the box that would yield the maximum volume? What is the maximum volume given a girth of 20 cm? Use a graphing calculator to determine the width that provides the maximum volume, round to the nearest tenth.
The width of the box is __________cm
The maximum volume is __________cm3
Answer:
The width of the box is 6.7 cm
The maximum volume is 148.1 cm³
Step-by-step explanation:
The given parameters of the box Jorge is asked to build are;
The maximum girth of the box = 20 cm
The nature of the sides of the box = 2 square sides and 4 rectangular sides
The side length of square side of the box = w
The length of the rectangular side of the box = l
Therefore, we have;
The girth = 2·w + 2·l = 20 cm
∴ w + l = 20/2 = 10
w + l = 10
l = 10 - w
The volume of the box, V = Area of square side × Length of rectangular side
∴ V = w × w × l = w × w × (10 - w)
V = 10·w² - w³
At the maximum volume, we have;
dV/dw = d(10·w² - w³)/dw = 0
∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0
2×10·w - 3·w² = 20·w - 3·w² = 0
20·w - 3·w² = 0 at the maximum volume
w·(20 - 3·w) = 0
∴ w = 0 or w = 20/3 = 6.[tex]\overline 6[/tex]
Given that 6.[tex]\overline 6[/tex] > 0, we have;
At the maximum volume, the width of the block, w = 6.[tex]\overline 6[/tex] cm ≈ 6.7 cm
The maximum volume, [tex]V_{max}[/tex], is therefore given when w = 6.[tex]\overline 6[/tex] cm = 20/3 cm as follows;
V = 10·w² - w³
[tex]V_{max}[/tex] = 10·(20/3)² - (20/3)³ = 4000/27 = 148.[tex]\overline {148}[/tex]
The maximum volume, [tex]V_{max}[/tex] = 148.[tex]\overline {148}[/tex] cm³ ≈ 148.1 cm³
Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)
The width of the box is;
6.7 cm
The maximum volume is;
148.1 cm³
PLEASE I NEED HELP i really need help on this please,
Answer:
P,R,Q i think
Step-by-step explanation:
The box plot for a set of test scores is shown below period which set of data is represented by the box plot?
3rd choice is answer
Step-by-step explanation:
a line is graphed
what is the slope ?
I'LL GIVE BRAINLIEST
The graph of a function is shown. Write a scenario that could be represented by the graph.
Answer:
This graph is an exponential graph, and can model the spread of CO V ID-19
Step-by-step explanation:
This graph increases exponentially, and can be used to model the spread of COVI D 1 9. Co vid started slowly, but ramped up. Another mathematical equation it can describe is y=x^3
what is the part of math sentences whose value is always the same, represented by a numeral.
Answer:
the part of math sentence whose value is always the same, represented by a numeral. Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
please help me please will give brainliest to anyone who is good
show your work
Answer:
A
Step-by-step explanation:
[tex]\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5[/tex]
1 1/4 × 5 = 6 1/4
How to put 1/25 as fraction simplified
Answer:
1/25
Step-by-step explanation:
1/25 is simplified, as 1 and 25 have no common factors.
(Unless you're saying 1/5 * 1/5?)
Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04
To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).
Do the factorization of numerator and denominator
1 can be written as [tex]1\times1[/tex]
And 25 can be written as [tex]1\times5\times 5[/tex].
After factorization, we see that 1 is the greatest factor, which is common in both.
Divide the numerator and denominator by their greatest common divisor (1).
[tex]\dfrac{1 \div 1}{25\div1}[/tex]
[tex]=\dfrac{1}{25}[/tex]
Hence, 1/25 can not be further simplified.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ6
5(7r - 2) - 12
Simplify it out plzz
Answer:
I think it's 7r-14
Step-by-step explanation:
It says "eliminate redundant parentheses"
Then "subtract the numbers"
And then the solution should be what I put as the answer
Answer:
5(7r - 2) - 12 = 35r - 22
Step-by-step explanation:
First you want to do the mailman (it's what I called it in school) so take 5*7r which is 35r and do 5*(-)2 which is -10. So far the equation looks like this:
35r - 10 - 12
So now you subtract -10 from -12 and since they are both negative numbers it will be -22. So it's 35r - 22
5(7r - 2) - 12
35r - 10 - 12
35r - 22
I hope this helped!!
The cost of 15 litres of petrol is £12 Work out the cost of 20 litres of petrol
Answer: 20 L = 16£
Step-by-step explanation:
12£ : 15 = 0.8p per L
0.8p x 20 L = 16£
Look at the picture!
Please I need help!
Is - 4 the absolute value of 3 - 7? Explain.
Answer:
No
Step-by-step explanation:
This is because the definition of absolute value is the number of units or points from zero on a number line. The regular answer of 3-7 would be -4. But the absolute value of -4 is 4 because it is just regularly 4 digits away from zero on a number line. Make sense?
There - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.
For example, |5| is 5 because it is 5 units away from 0. Also, |-5| is also 5 because -5 is 5 units from 0.
As per the given question,
There - 4 is not the absolute value of 3 - 7,
This is because the definition of absolute value is the number of units or points from zero on a number line. The standard response of 3-7 would be -4. However, the absolute value of -4 is 4 since it is 4 digits away from zero on a number line.
Thus, there - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.
Learn more about the absolute value here:
brainly.com/question/1301718
#SPJ2
Harold wants to borrow $1,400 for 5 years. The interest rate is 9%. How much interest will he pay over the course of the loan?
Answer: He will pay $630 over the course of the loan.
Step-by-step explanation:
Formula for simple interest :
S.I. = PRT, where P=principal amount , R =rate of interest ( in decimal), T=time (in years)
As per given ,
P = $1,400 , t = 5 years , r = 9% = 0.09
Simple interest = (1400) x (0.09) x (5)
⇒ Simple interest = $ 630
Hence, he will pay $630 over the course of the loan.
find the slope of the line
plzzz will give brainliest
Answer:
-2/3
Step-by-step explanation:
Find two points and count the x and y axises between them.
(hope this helps!)
HELP URGENT 20 POINTS WILL MARK BRAINLIEST
Answer:
80 miles in 4 hours
Step-by-step explanation:
fx = 20x-80
20x=80
20x/20=80/20
x = 4
What kind a of quadrilateral is LFGA?
Trapezoid
Rhombus
Square
Rectangle
b) Are triangles LFE and AGT congruent? Explain why or why not?
c) What is the length of EF?
d) What is the length of LF?
Answer:
LFGA is a rectangle
B) yes they are
Since lf=ag
LFE=AGT
AT=LE
SO THEY ARE CONGRUENT HAVING 2 EQUAL SIDES AND ONE RIGHT ANGLE
C) ef =gt
(U have to prove them before)
D) LF is equal to AG
Since in a rectangle the h times base
what is halfway between 8.79 and 8.80?
Answer:
8.795
Step-by-step explanation: