Answer:
12/13
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
sin B = opposite / hypotenuse
The side opposite of angle B is side b. The hypotenuse is c.
sin B = b / c
sin B = 12 / 13
Cos(x) = 10.5 / 20
cos(x) = 0.525
answer
C.
x = 58.3"
The whole bill is $31.99 that is 100%. You can use mental math to determine exatcly 15% from $31.99:
1. 15%=10%+5%
2. To find 10% from $31.99 you should simply divide $31.99 by ten. Thus, 10% from $31.99 is $3.199.
3. 5% is half of 10%, then 5% from $31.99 is $3.199:2=$1.5995.
4. 15% from $31.99 is $3.199+$1.5995=$4.7985≈$4.80.
Answer: correct choice is B.
Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
<h3><u>Write 6^8 • 6^7 as a single power:</u></h3>

<em><u>Solution:</u></em>
Given that,
We have to write 6^8 • 6^7 as a single power
Given is:

<em><u>Use the following law of exponent</u></em>

When, the base is same, powers gets added
Therefore,

Thus the given is written as a single power