Step-by-step explanation:
[tex] \frac{ \sin(81) }{x} = \frac{ \sin(40) }{7} \\ x \times \sin(40) = 7 \times \sin(81) \\ x = \frac{7 \times \sin(81) }{ \sin(40) } = 10.75 = 10.8 \: cm[/tex]
Answer:
x is 10.8 cm
Step-by-step explanation:
from Lami's theorem:
[tex] \frac{7}{ \sin(40 \degree) } = \frac{x}{ \sin(81 \degree) } \\ \\ x = \frac{7 \sin(81 \degree) }{ \sin(40 \degree) } \\ \\ x = 10.8 \: cm[/tex]
Can anyone help since im struggling with finding the answer!
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Explanation:
You'll need the chain rule for this one.
[tex]y = 3x^3 + 4x\\\\\frac{d}{dt}(y) = \frac{d}{dt}\left(3x^3 + 4x\right)\\\\\frac{dy}{dt} = \frac{d}{dt}\left(3x^3\right) + \frac{d}{dt}\left(4x\right)\\\\\frac{dy}{dt} = 3\frac{d}{dt}\left(x^3\right) + 4\frac{d}{dt}\left(x\right)\\\\\frac{dy}{dt} = 3*3\left(x^2\right)*\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = 9x^2\frac{dx}{dt} + 4\frac{dx}{dt}\\\\\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\[/tex]
Now apply substitution
[tex]\frac{dy}{dt} = (9x^2+4)\frac{dx}{dt}\\\\\frac{dy}{dt} = (9*4^2+4)*2\\\\\frac{dy}{dt} = 296\\\\[/tex]
Answer:
296
Step-by-step explanation:
I just did the math and I also got 296.
The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object's distance from the center of the circular path: . Solve the formula for r.
Answer:
v = √ar
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION;
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r
the given formula is (a= v^2/ r) .....eqn(1)
Where
a=centripetal acceleration
r = object's distance
We were told to find velocity (v)
From eqn(1) we can cross multiply, then we have
a.r=v^2 ...................eqn(2)
Then we can make (v^2) the subject of the formula, we have
(v^2) = ar
We can make "v" subject of the formula, then we have
v = √ a*r
Answer:
r = v^2/a
Step-by-step explanation:
A shopkeeper buys TVs for Nu 15000 and marks them up 15% to sell them. What is the mark up amount? *
[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]
Markup amount is 2250Nu
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?
y – 20
y – 14
y – 8
y – 6
Answer:
Step-by-step explanation:
If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of [tex]y^2-10y+24=0[/tex] is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.
If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:
4| 1 -10 24
____________
The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:
4| 1 -10 24
4
1
Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:
4| 1 -10 24
4 -24
1 -6
And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.
Therefore, the 2 factors that multiply together to give us [tex]y^2-10y+24=0[/tex] are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!
Answer:
its ( y-6 )
Step-by-step explanation:
well if you use the FOIL method you will get that answer. also i took the test and got a 100 so there u go.
the distance between the points (tan a, 1) , (0,2)
Answer:
Answer
Step-by-step explanation:
please like and mark me brainlist
I needddd help it’s urgenttttt!!!!
Can someone help me with this math homework please!
Step-by-step explanation:
the answer is
the Value of b to 2
What is this equation rewritten in logarithmic form?
9X = 3
A. log 3 = x
B. log, 3 = 9
C. log3 9 = x
D. log3 x = 9
Answer:
A. log9 3=x
Step-by-step explanation:
The logarithmic form with base 9 is log₉ 3 = x.
The correct option is A.
The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.
The logarithmic form with base 9 is log₉ 3 = x.
Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.
The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).
In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.
Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.
To learn more about the logarithms;
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99, 159, 219, ___. To find the next number after 219, we should a. Add 69 to 219 b. Subtract 60 from 219 c. Add 60 to 219 d. Add 40 to 219
Answer:
C
Step-by-step explanation:
99+60=159.
159+60=219
219+60=279
The net of an isosceles triangular prism is shown here. What is the surface area, in square units, of the triangular prism?
Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 7 units and its width is 5 units.
(5 points)
136 units2
98 units2
94 units2
129 units2
Answer:
136 units²
Step-by-step explanation:
Because the prism is isosceles triangular then the top rectangle=7 X 5 as well.
The big rectangle's area = 7 X (5+6+5) = 112 units²
The area of the triangles = 2(base*hight/2) = base *height =6 X 4 =24 units²
Surface area = 112 +24 = 136 units ²
Answer:
136 units² give him brainliest he's right
Step-by-step explanation:
please help,
all i have is 16 x 33 = 528cm2 ?!!!
Answer:
732 m^2
Step-by-step explanation:
Find the area of the full rectangle
33*24 =792
Find the area of the triangle
24-16 = 8
33 -18 =15
The area of the triangle is
A = 1/2 bh = 1/2 ( 15)(8) = 60
Subtract the triangle from the rectangle
792 - 70=732 m^2
Answer:
732 [tex]m^2[/tex]
Step-by-step explanation:
First we can find the area of the shape if the triangle wasn't there. That would be:
24×33=792.
Then, we can find the area of the triangle to subtract that from the total.
The formula for the area of a triangle is [tex]A=\frac{1}{2} bh[/tex].
So [tex]A=\frac{1}{2} (8)(15)[/tex]
I found the base of the triangle by subtracting 16 from 24.
I found the height of the triangle by subtracting 18 from 33.
Now, solve the equation.
[tex]A=\frac{1}{2}( 120)[/tex]
A=60
Then finally, Subtract 60 from 792.
You get 732.
I hope this helps!
Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.
1.) If a business jet burns 300 gallons of gasoline per hour, it burns____gallons of gasoline in a three hour flight.
2.) On average, one gallon of gasoline weights approximately six pounds. Fifty gallons of gasoline weighs____pounds.
3.) For every one yard, there are thirty-six inches. 2,124 inches =_______ yards
4.) A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs_____ pounds, burns thirty-six calories while running one mile.
5.) A rice casserole recipe serves four people and requires two tablespoons of butter. A rice casserole that requires six (6) tablespoons of butter serves____ people.
Answer:
1.) 900
2.) 300
3.) 59
4.) 48
5.) 12
Step-by-step explanation:
1.) 300 x 3 = 900
2.) 50 x 6 = 300
3.) 2,124 / 36 = 59
4.) 180 / 36 = 5 | 240 / 5 = 48
5.) 6 / 2 = 3 | 4 x 3 = 12
Hope this helps.
If there is something wrong, please let me know.
Proportional reasoning refers to the ability to compare and analyze relationships between two or more quantities that change in a consistent way. It involves understanding the concept of proportionality and applying it to solve problems.
1.) If a business jet burns 300 gallons of gasoline per hour, it burns 900 gallons of gasoline in a three-hour flight. This can be calculated by multiplying the burn rate of 300 gallons per hour by the duration of the flight, which is three hours.
2.) On average, one gallon of gasoline weighs approximately six pounds. Therefore, fifty gallons of gasoline weighs 300 pounds. This can be calculated by multiplying the weight of one gallon (six pounds) by the quantity of fifty gallons.
3.) For every one yard, there are thirty-six inches. To find the number of yards in 2,124 inches, we divide 2,124 by 36. The result is 59 yards. This can be calculated by dividing the total number of inches by the conversion factor of thirty-six inches per yard.
4.) A person who weighs 240 pounds burns 180 calories per mile of running. A person who weighs 48 pounds, burns thirty-six calories while running one mile. To find the number of pounds for which the person burns thirty-six calories while running one mile, we can set up a proportion. If we let x represent the weight in pounds, the proportion would be: 240 pounds / 180 calories = x pounds / 36 calories. Solving for x gives us x = 48 pounds.
5.) A rice casserole recipe serves four people and requires two tablespoons of butter. If a rice casserole requires six tablespoons of butter, it serves twelve people. This can be determined by setting up a proportion: 4 people / 2 tablespoons = 12 people / 6 tablespoons. Solving for the unknown number of people gives us 12 people.
Learn more about Reasoning here:
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What is the correct answer to this multiple choice question? Please help!
Answer:
2nd Option, 24/7
Step-by-step explanation:
here,
tan T = 7/24
or, cot T = 24/7
The Answer Pleassseeeeeeeeeee
Answer:
D. 2, -1
Step-by-step explanation:
I drew it out. I've never done this before
Solve the equation for x: (4x+38) + (2x-18)=180
Answer:
80/3
Step-by-step explanation:
try mathw4y it helps alot.
Answer:
x = 80/3
Step-by-step explanation:
(4x+38) + (2x-18)=180
Combine like terms
6x +20 = 180
Subtract 20 from each side
6x+20 -20 = 180-20
6x = 160
Divide by 6
6x/6 = 160/6
x = 80/3
A man sold a ratet for Rs 252 at 5% pofi't percent is the profit?
Answer:
Step-by-step explanation:
Selling price (SP) = Rs. 252
Profit% = 5%
[tex]CP=\frac{100}{100+profit}*SP\\\\\ = \frac{100}{105}*252\\\\[/tex]
CP = Rs. 240
Profit = 252 - 240 = Rs. 12
Solve The Inequality
Answer:
Step-by-step explanation:
Answer is c
Help me out hhhhhhhjjnjnfd
since its the same you will have to multiple it all to get the answer
Please show work
Determine the value of each variable
9514 1404 393
Answer:
k = 56°
Step-by-step explanation:
If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...
2b +a = 180°
from which we get ...
a = 180° -2b
b = (180° -a)/2
__
The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.
The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.
k = 56°
_____
We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.
The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.
help please i’ve been in here for hours looking for answers
Answer:the 2nd row, x=0, f(x)=2
Step-by-step explanation:
When x=0, the line touches the y-axis because the f(x) has a value. therefore when x=0, y=2
you'll understand better if you sketch it out
!!ASAP!!
1.
25
40
75
2.
40
75
140
Answer:
C= 40
D= 75
Alternate interior angle
○●○●○●○●○
Hope it helps...
Have a great day!!!
Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.
Which choice represents the sample space, S, for this event?
S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}
Answer:
S = {PQ, QP, PR, RP, QR, RQ}
Step-by-step explanation:
We have 3 friends:
Patty (who we can represent with the letter P)
Quinlan (who we can represent with the letter Q)
Rashad (who we can represent with the letter R)
There are two positions, that can be represented as:
First-Second.
Where "first" refers to the student whose name is chosen first, this student will be the president.
"second" refers to the student whose name is chosen second, this student will be the vice president.
For example:
PQ
refers for the case where Patty is the president and Quinlan is the vice-president.
Notice that PQ is different than QP.
The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:
PQ, QP, PR, RP, QR, RQ
Then the sample space is:
S = {PQ, QP, PR, RP, QR, RQ}
The correct option is the last one.
Answer:
D. S = {PQ, QP, PR, RP, QR, RQ}
Find DC, given that line AD is the angle bisector of
Answer:
2
Step-by-step explanation:
because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2
PLEASE HELP!! would this be symmetric or reflexive property?
Answer: It's "reflexive" because the equation is equal on both sides
Step-by-step explanation: The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)
Hope this helped!!
Mrs. Bajracharya sold a 'Palpali Dhaka Topi' for Rs 870 and made a profit of 16%. Find her buying price of the 'Dhaka Topi'. And how much is her actual profit?
Answer:
Buying price = x = Rs 750
Profit = Rs 120
Step-by-step explanation:
Buying price = x
Selling price = Rs 870
Profit = 16% of x
Profit = selling price - cost price
16% of x = 870 - x
0.16 * x = 870 - x
0.16x = 870 - x
0.16x + x = 870
1.16x = 870
x = 870 / 1.16
x = 750
Buying price = x = Rs 750
Profit = 16% of x
= 0.16 * Rs 750
= Rs 120
Profit = Rs 120
UR SO COOL IF UOU ANSWERRR PLEASE ANSWERRRR
Answer:
1/6 is less than 1/2
Step-by-step explanation:
1/6 is close to 0
8/9 is close to 1
1/6 is less than 1/2
i don't know just curious do you guys still got school?
yes i do got school
and what about you
1. Which of the following expressions are equivalent to? Select all that apply. A. 31 . 36 B. 31 . 35 C. 3-2 . 3-4 D. 32 . 3-8 E. 3 • 3-6 F.3-1 . 3-5
Answer: A and C
Step-by-step explanation:
Can someone help me by please
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Explanation:
10% in decimal form is 0.10
25% in decimal form is 0.25
The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5
This means that we have 2.5 times as many apples compared to oranges.
If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.
Based on this, the answer is either A or B.
----------------
65% turns into 0.65
The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5
So we have 6.5 times as many pears as oranges.
If we had 2 oranges, then we have 2*6.5 = 13 pears
----------------
To summarize, we have:
2 oranges, 5 apples, 13 pears.
The answer is therefore choice A
Which situation would be represented by zero?
A) a $3 loss and à $4 profit
B) a $3 loss
C) a $4 loss and a $4 profit
D) a $4 profit
Pls help me I’m timed, I’ll give brainliest
Answer:
C) a $4 profit and $4 loss is the correct answer.