Answer:
(d). [tex]\frac{152}{377}[/tex]
Step-by-step explanation:
sin² β + cos² β = 1
cos (α + β) = cos α cos β - sin α sin β
cos α = √(1 - [tex]\frac{400}{841}[/tex] ) = 21 / 29
cos β = 12 / 13
sin β = √(1 - [tex]\frac{144}{169}[/tex] ) = 5 / 13
sin α = 20 / 29
cos (α + β) = [tex]\frac{21}{29}[/tex] × [tex]\frac{12}{13}[/tex] - [tex]\frac{20}{29}[/tex] × [tex]\frac{5}{13}[/tex] = [tex]\frac{152}{377}[/tex]
Solve the system below:
10x + y = 22
2x + x = -2
Answer:
x=negative 2/3,y= positive 86/3
Step-by-step explanation:
add me as a friend please and I will give you a brain list
also what is 153.69 divided by 16.43
OPTIONAL
Answer:
Ok, and it's 9.35423007
Step-by-step explanation:
Answer: 9.35423006695
Step-by-step explanation:
one half times one third
Answer:1/6
Step-by-step explanation:
YOU WILL GET BRAINLIEST AND 22 POINTS PLS ANSWER!!!!!:
Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
Step-by-step explanation:
Part A: (62)x=1
62x= 1
62x/62=1/62
2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48
Kelsey sold digital cameras on her website she bought the chemistry $5 each included a 60% markup together selling price to the nearest Dollar what was the slim price for one camera
Answer: $ 8
Step-by-step explanation:
Given: Original cost of camera = $5
mark up percent = 60% = 0.60
Mark up value =60% of Original cost
Now , price of one camera= Original cost + Mark up value
= Original cost + 60% of Original cost
= $ (5+0.60(5))
= $ (5+3)
= $ 8
Hence, price of one camera= $ 8
8. Find the area and the perimeter of
quadrilateral ABCD, given below; if,
AB = 8 cm, AD = 10 cm, BD = 12 cm,
DC = 13 cm and DBC = 90°
Answer:
the answer is DBC=90°
because the midpoint of the perimeter of quadrilateral is B
One minute after takeoff, a rocket carrying the space shuttle into outer space reaches a speed of 547 m/s. What was the average acceleration of the rocket during that initial minutes
Answer:
8000 meters per second
Step-by-step explanation:
The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
12 weeks
16 weeks
22 weeks
26 weeks
Answer: 16 weeks
Step-by-step explanation:
If y represents the amount of money left in her account, then left y be $145 in the equation and solve for x.
145 = -27x + 557
-557 -557
-432 = -27x
x = 16
Answer:
b.) 16
Step-by-step explanation:
i got it right on edge2020 :)
Name the point of concurrency shown. Please please don’t answer if you don’t know it!!!
Answer:
Circumcenter
Step-by-step explanation:
Please help!! A scale on a hiking map shows at 3 inches represents 1.25 miles. What number of inches on the map represents 10 actual miles?
Answer:
24 miles
Step-by-step explanation:
Set up a proportion:
3 inches/1.25 miles = x inches/10 miles
Then cross multiply
30=1.25x
Divide 1.25 on both sides
x=24
1. Ishaya and Bryan are team captains and are very competitive. For every free throw Ishaya makes, Bryan makes 2 free throws. If combined they made 63 free throws, how many free throws did Bryan make?
help! asp
explain to please!
I will give brainliest
Answer:
Garage A- 3x12+10=46
Garage B- 4x12+3=51
Garage A is $5 cheaper than Garage B when parking for 12 hours
Step-by-step explanation:
You plug in the variables given to each garage into y=mx+b. Both Garage A and B have a constant (A-$10, B-$3). X in this equation would be the number of hours and m is the amount charged per hour.
Why is this action surprising. HELP PLEASE
Answer:
The first one sounds suprising but what is the action?
Answer:
1st option
Step-by-step explanation:
Bailey is inviting people to her wedding and wants to stay at or below her budget of $4,500 for the food. The cost will be $65 for each adult's meal and $20 for each child's meal. Part A: Write an inequality to represent the situation. Part B: If there are 63 adults coming, what is the maximum number of children attend and eat the meal? Why?
three-fifths of the members of the Spanish club are girls there are a total of 30 girls in the Spanish club which statements can be used to solve for x the total number of members in the Spanish club please select three options
Answer:
[tex]\frac{3}{5}x=30[/tex] or [tex]\frac{3}{5}(\frac{5}{3})x=30(\frac{5}{3})[/tex] or x = 50
Step-by-step explanation:
help !!!!!!! 20 POINTS AND BRAINLIEST!!!!!
please give sensible answer :(
(6) QP = QR therefore, triangle QPR is an isosceles triangle.
Since QPR is an isosceles triangle, the base angles are equal.
angle P + angle R + 80 = 180
2x + 80 = 180
2x = 100
x = 50.
That is just the measure of the base angle.
Now take triangle TSR.
Since R = 50, due to angle sum property, we can come up with this equation:
50 + 85 + x = 180
x = 180 - 135
x = 45 <- That's the answer.
(8) Take triangle PSQ, you get angle P = 70 degrees using the angle sum property and algebra.
Now take triangle PSR and you get angle P in the triangle as (180 - 100) / 2 = 40.
Since P = 70, and P in the smaller triangle is 40, 70 - 40 would be the answer.
x = 30 degrees <- That's the answer :D
On the day a person is born, a deposit of $10,000 is made in a trust fund that pays 5% interest, compound quarterly. Find the balance on the person's 18th birthday.
Given:
Amount deposited on birth = $10,000.
Interest rate = 5% compound quarterly.
To find:
The balance on the person's 18th birthday.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
Substitute P=10000, r=0.05, n=4, t=18 in the above formula.
[tex]A=10000\left(1+\dfrac{0.05}{4}\right)^{4(18)}[/tex]
[tex]A=10000\left(1+0.0125\right)^{72}[/tex]
[tex]A=10000\left(1.0125\right)^{72}[/tex]
[tex]A=24459.2026814[/tex]
[tex]A\approx 24459.20[/tex]
Therefore, the balance on the person's 18th birthday is $24459.20.
How would i solve this?
You have a quadrilateral and there is 4 angles which one is the smallest
x+68 2x+70 3x+10 4x-10
Answer:
hwhshhsdbhdudhdbdvgzgznsksi
Step-by-step explanation:
gsgsgvzvxjdidhxhbxbzmLajzhvzvz
I have a diameter of 90 cm, what is the radius?
Answer:
the radius is 45 cm
Step-by-step explanation:
radius is diameter divided by 2
Answer:
45 cm
Step-by-step explanation:
Radius = diameter ÷ 2
= 90 ÷ 2
= 45 cm
Find the value of x.
A. 132
B. 200
C. 228
D. 256
Answer:
a
Step-by-step explanation:
104+28=132
OK OK OK done
i need help asp Which of the following is equivalent to the statement, "Nine fewer that the product of a number and two is negative nine.
Group of answer choices
x/2 - 9 = -9
x/2 + 9 = -9
2x - 9 = -9
9 - 2x = -99
I think its A
x/2 - 9 = -9
convert 20 mm into km
Answer:
Step-by-step explanation:
1 km = 1,000 m = 100,000 cm = 1,000,000 mm
1 mm is millionth part of 1 km
1 mm = 0.000001 km
20 mm = 0.00002 km
Write an equation of a line with the given slope and y-intercept.
m = -2,b=4
Answer:
[tex]y = -2x+4[/tex]
Step-by-step explanation:
Linear equations can be written in the form [tex]y=mx+b[/tex] where [tex]m[/tex] is the gradient/slope and [tex]b[/tex] is the y-intercept of the line.
With the given slope and y-intercept, the linear equation of the line can be written as [tex]y=-2x+4[/tex].
Which expression represents "2 less than the product of 5 and a number"?
Question 6 options:
5n+2
2−5n
5n−2
5+n−2
Answer:
The answer is 5n-2 so the 3rd choice.
Answer: 5n-2
Step-by-step explanation:
2 less than: means to put -2 at the end
product of 5 and a number: means that you're multiplying 5 and n (5n
So, you end up with C. 5n-2
Hope this helps!!
Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?
Answer:
48
Step-by-step explanation:
Bridget = 2 x 12 = 24
Jim = 1 x 12 = 12
Krutika = 1 x 12 = 12 ---> 24 + 12 + 12 = 48
when have I ever done this leave me alone please
Answer:
zusvhzbzhz
Step-by-step explanation:
zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs
Answer:
ok I will leave u alone
Step-by-step explanation:
(•ө•)♡
PLEASE HELP URGENT!!!!!! GIVING BRAINLIST!!!
Frog and Toad decided to meet. Their houses are 120 ft apart. They start hopping towards each other at a speed of 2 ft/min and 3 ft/min, respectively. How long it will take until they are going to be 5 feet apart?
Answer:
24
Step-by-step explanation:
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Answer:
[tex]\huge\boxed{\sf 126\° \ OR \ 145 \°}[/tex]
Step-by-step explanation:
m∠4 + m∠7 = 180 (Adjacent Angles of a parallelogram)
Given that m∠4 = x + 45, m∠7 = x² + 45
x + 45 + x² + 45 = 180
x² + x + 90 = 180
x² + x = 180 - 90
x² + x = 90
x² + x - 90 = 0
Using mid-term break formula
x² + 10x - 9x - 90 = 0
x(x+10) - 9(x+10) = 0
(x - 9)(x + 10) = 0
Either,
x-9 = 0 OR x+10 = 0
x = 9 OR x = -10
[tex]\rule[225]{225}{2}[/tex]
Now,
m < 7 = x² + 45
For x = 9
m < 7 = (9)² + 45
m < 7 = 81 + 45
m < 7 = 126°For x = -10
m < 7 = (-10)² + 45
m < 7 = 100 + 45
m < 7 = 145°[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807for expressions a-e select yes or no to indicate whether each expression is equivalent to 3(x + 2).
A. 3x + 2 Yes_ No_
B. 3(2 + x) Yes_ No_
C. 3x + 2x Yes_ No_
D. x + 2x + 2 + 4 Yes_ No_
E. x + x + x + 1 + 1 + 1 + 1 +1 +1 Yes_ No_
Answer:
A. No
B. Yes
C. No
D. Yes
E. Yes
Step-by-step explanation:
3(x + 2) = 3x + 6
A. 3x + 2 is not 3x + 6
B. 3(2 + x) = 6 + 3x is equal to 3x + 6
C. 3x + 2x is not the same as 3x + 6
D. x + 2x + 2 + 4 = 3x + 6 is equal to 3x + 6
E. x + x + x + 1 + 1 + 1 + 1 + 1 + 1 = 3x + 6 is the same as 3x + 6