Answers
Answer:
cos(α) = 24/25.
Step-by-step explanation:
First of all, we'll find the answer just using the fact that ABC is a right triangle in C. So, by the definition of cosine:
[tex]\cos(\alpha) = \dfrac{AC}{AB}\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]
Now, we'll solve the question with another approach. By the Law of Cosines in the triangle ABC:
[tex]BC^2 = AB^2+AC^2-2\cdot AB\cdot AC\cos(\alpha)\\\\7^2 = 25^2+24^2-2\cdot 25\cdot 24\cos(\alpha)\\\\49 = 625+576-1200\cos(\alpha)\\\\1200\cos(\alpha)=1152\\\\\boxed{\cos(\alpha) = \dfrac{24}{25}}[/tex]
Related Questions
Given the function f(x) = x2-2, find the average rate of change over the interval -2 sxs 4
Answers
Answer:
The correct answer for that is (98)
Some marbles in a bag are red and the rest are blue. If one red marble is removed,
then one-seventh of the remaining marbles are red. If two blue marbles are removed
instead of one red, then one-fifth of the remaining marbles are red. How many
marbles were in the bag original
Pls give EXPLANATION
Answers
Answer:
22
Step-by-step explanation:
Let r be red and b be blue
1/7(r-1+b)=r-1
1/5(r+b-2)=r
r-1+b=7(r-1)
r+b-2=5r
r-1+b=7r-7
1=7r-7-5r
8=2r
r=4
1/5(4+b-2)=4
2+b=20
b=18
18+4=22
For any positive number b not equal to 1 and any number or variable n, evaluate the following expression. log.(b") = O A. no O B. n O c. b Б OD. "
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
will name brainiest please help thank u
Answers
Answer:
C
This was one of the questions on my test.
What is the value of 4+ y if y = 18?
Answers
Answer:
22
Step-by-step explanation:
4+18 = 22
Can someone help pls !
Answers
Answer:
(B). [tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
Step-by-step explanation:
12x - 13y = 7
17x - 22y = - 51
A = [tex]\left[\begin{array}{cc}12&-13\\17&-22\end{array}\right][/tex]
[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}7&-13\\-51&-22\end{array}\right][/tex]
[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}12&7\\17&-51\end{array}\right][/tex]
You eat 80% of your daily calories at breakfast. Does this statement make sense?
Answers
Answer:
you so dumb
Step-by-step explanation:
Answer:
this statement does make sense
Find g(-7) for g(x) = -8x+1
Answers
Answer:
Step-by-step explanation:
if we have g(x)=- 8x+1
we will replace x with -7
g(-7)=56+1=57
What basic geometric shape is always created by an actual snowflakes?
Answers
Answer:
A regular hexagon. Search up pictures of snowflakes and you can see by the symmetry.
Answer:hexagon
Step-by-step explanation:
A scientist teacher murdered $3980 worth of microscopes and dissension kits for the new science lab a total of 38 microscopes and 47 dissension kids were ordered a microscope cost four times as much as a Ascension kit write a system of linear equations that represents the situation what is the cost of each item
Answers
Answer:
dang
Step-by-step explanation:
._.
11) (-x - 3) + (3x + 8)
i don’t understand these
Answers
Answer:
-8x-25
Step-by-step explanation:
Help with this question please ASAP!! :)
Answers
Answer:
options 1, 3, and 6.
Step-by-step explanation:
on the diagram, ∠2 is in the area of line EA and EG. If you are reading it by letters, ∠GEA is equal to ∠2 because they are in the same area. The last option (6) being ∠AEG, the middle angle is E which is the same as ∠GEA and ∠2.
hope this helps!! :))
A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C=0.3X^2+8,000. How fast is the cost per month changing when production is changing at the rate of 14 units per month and the production level is 70 UNITS?
Costs are ___ at the rate of $___ per month at this production level.
Answers
Answer:
Costs are changing at the rate of $588 per month at this production level.
Step-by-step explanation:
From the question, we have:
C = 0.3X^2 + 8,000 ........................ (1)
Differentiating equation (1) with respect to time, t, we have:
dC/dt = (0.3 * 2) X (dX/dt)....................... (2)
Where;
X = 70
dX/dt = 14
Substituting this into equation (2), we have:
dC/dt = (0.3 * 2) * 70 * 14
dC/dt = 588
This implies that costs are changing at the rate of $588 per month at this production level.
please please help me!
Answers
Answer:
Option 4
Step-by-step explanation:
It has a negative slope of -[tex]\frac{1}{5}[/tex] (move down one and to the right 5)
HURRY PLEASE?!
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 13 an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 23 an ounce per second.
Below is a graph of this system.
After how many seconds do both Diego and Lin have the same amount of milkshake left?
[ Select ]
How many ounces do both Diego and Lin have left of their milkshakes at that point?
[ Select ]
Answers
Answer: 24 seconds
4 ounces
Answer:
24 seconds and 4 ounces
Step-by-step explanation:
The point where both lines meet is the point where they are both equal.
The point where both lines meet is (24,4)
Since the x-axis represents seconds the x-coordinate will represent the number of seconds it takes for them to be equal which is 24.
Since the y-axis represents ounces the y-coordinate will represent the number of ounces they have when they are equal which is 4.
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
Answers
Answer:
Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Step-by-step explanation:
Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).
Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).
Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes
Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes
After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.
So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.
If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.
Answer:
Yes
Step-by-step explanation:
Divide 12.75 by 3 to get the amount Machine A makes in 1 minute, 4.25 ounces.
Divide 18 by 4 to get the amount Machine B makes in 1 minute, 4.5 ounces
Multiply 4.25 by 10 for a total from Machine A, 42.5 ounces.
Multiply 4.5 by 10 for a total from Machine B, 45 ounces.
Add 42.5 to 45 totalling 87.5
Eight 9-ounce bags require 72 ounces of popcorn. So if both Machines made a total of 87.5 ounces they would have enough popcorn.
Multiple choice! Pls help :) i really need help!
Answers
Answer:
A and D
Step-by-step explanation:
which relations represent functions?
Answers
Hi!
Find the approximate area of the shaded region of the figure below.
Thank you!
(P.S, Please ignore the “Below” in the picture! Sorry!)
Answers
Radius of the circle is the length of rectangle divided by 2 (7cm)
Area of circle: pi*r²
Pi= 22/7
(22/7)*7²
=154
Since its a half circle, divide 154 by 2 =77
Area of rectangle:14*9=126
Subtract the circle from the rectangle: 126-77=49
What is the midpoint of line segment
A (-3,-5)
B (1,-9)
‾
start overline, A, B, end overline?
Answers
HELP PLS
A) 16
B) -4
C) -16
Answers
Answer:
B) -4 is the crct answer may be
Multiply 1 by 5 152 x 61 =
Answers
Answer:
5
Step-by-step explanation:
1*5=5
There are 18 fish in a pond. 9 carp, 8 koi,
and 1 trout. what is the probability of picking a koi if you pick a fish at random?
Answers
Answer:18/5
Step-by-step explanation:
find the value of 5^-3 x 2^-1
Answers
Answer:
Step-by-step explanation:
5^-3 = 1/(5*5*5) = 1/125
2^-1 = 1/2
1/125 * 1/2 = 1/250
That could be the answer
So could 0.004
Which of the following coordinate points have an x-value of 4? Select all that apply.
A) (2, 4)
B) (4, 5)
C) (4,0)
D) (4,3)
Answers
Answer:
it b
Step-by-step explanation:
what is the equation of the line through (2,-1) and (0,5)
A. y= -3x + 5
B. y= 3x - 5
C. y= -3x - 5
D. y= 3x + 5
Answers
Write the ratio as a fraction lowest terms 7 days to 13 days
Answers
Answer:
The answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]
Step-by-step explanation:
We need to write ratio as a fraction lowest terms 7 days to 13 days
Ratio as fraction is written as: [tex]\frac{a}{b}[/tex] if we have a to b
So, in our case 7 days to 13 days
a= 7, b= 13
Writing ratio as fraction:
[tex]Ratio \ as \ fraction =\frac{7}{13}[/tex]
The fraction cannot be further simplified as already in lowest form so, the answer is: [tex]\mathbf{Ratio \ as \ fraction =\frac{7}{13}}[/tex]
sharice is putting jars of jam into boxes. she puts 8 jars into each box, and she has a total of 144 jars. sharice wants to know how many boxes she needs.
Answers
she needs 18 boxes.
What is factoring?A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
Given
Based on the given conditions, formulate: 8 x = 144
Divide both sides of the equation by the coefficient of variable: x = 144/8 out the common factor: x = 18
To know more about factoring refer to :
https://brainly.com/question/25829061
#SPJ2
Write an recursive rule for the sequence 7,14,21,28
Answers
2 divided by 1/3 pls
Answers
Answer:
6
Step-by-step explanation:
2/ 1/3= 6
Answer:
= 6
Step-by-step explanation:
you can do the keep, switch, flip strategy
keep 2/1, switch division to multiplication, and flip 1/3 to 3
2 x 3 = 6