Abc is a triangle, ac=19cm bc=17cm and angle bac=60 degrees. calculate the size of angle abc? answer

Answers

Answer 1

Answer: $(|AC|)/(sin\angle ABC)=(|BC|)/(sin\angle BAC)\n\n|AC|=19cm;\ |BC|=17cm;\ |\angle BAC|=60^o;\ |\angle ABC|=x\n\n(19)/(sinx)=(17)/(sin60^o)\n\ncross\ multiply\n\n17sinx=19sin60^O\n\n17sinx=19\cdot(\sqrt3)/(3)\ \ \ \ /:17\n\nsinx=(19\sqrt3)/(51)\n\nsinx\approx0.6453\Rightarrow x\approx40^o11'\n\nAnswer:|\angle ABC|\approx40^o11'$

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Solve.{3x+y=42x+y=5

Use the linear combination method.

A.) (-3,12)
B.) (-3,13)
C.) (0,4)
D.) (-1,7)

Answers

Answer:

(D)(-1,7)

Step-by-step explanation:

We want to solve for x and y in the simultaneous equation

3x+y=4

2x+y=5

Subtract Equation 2 from Equation 1

x=-1

Substitute x=-1 into any of the equations to solve for x.

3x+y=4

3(-1)+y=4

-3+y=4

y=4+3=7

Therefore: (x,y)=(-1,7)

3x + y = 4
2x + y = 5....multiply by -1
--------------
3x + y = 4
-2x - y = -5 (result of multiplying by -1)
-------------add
x = -1

3x + y = 4
3(-1) + y = 4
-3 + y = 4
y = 4 + 3
y = 7

solution is (-1,7)

To get 150g of a 12% solution, do you need more salt than to get 120g of a 15% solution?

Answers

Answer:

You don't necessarily need more salt. No!

Step-by-step explanation:

The go get 150g of a 12% solution,.

do not deal for need you need peoole

more salt than to get 120g of a 15% solution? Each one is complimented by something.

If g(t) = 2/(t + 3), then g() = 2/(4a + 3).

Answers

The value will be 4a.

Expression

In mathematics, an expression is defined as a set of numbers and mathematical operations that is formed according to rules which is dependent on the context.

Given to us,

equation 1,

$g(t) = (2)/((t + 3))$

equation 2,

$g(\ \ ) = (2)/((4a + 3))$

Let's assume t=4a,

substituting the value of t in equation1, we get

$g(t) = (2)/((t + 3))$

$g(4a) = (2)/((4a + 3))$

As we can see we get equation 2 again, therefore, the value will be 4a.

Learn more about the expression:

brainly.com/question/13947055

Answer:

$g(4a) = (2)/(4a + 3)$

Step-by-step explanation:

Given the function is $g(t) = (2)/(t + 3)$ ........... (1)

Now, we are given that $g() = (2)/(4a + 3)$ .......... (2)

Now, the left hand side of both the above equations (1) and (2) are similar and the only change is that t is replaced by 4a.

Therefore, the equation (2) can be written as

$g(4a) = (2)/(4a + 3)$ (Answer)

Since we know that if $g(t) = (2)/(t + 3)$ then $g(k) = (2)/(k + 3)$ , where k is any real value.

List 7 cm, 18 mm, 1 m, 3 dm in increasing order of length

Answers

First let's convert all of these into centimeters using the correct conversions:

$7cm=7cm$

$((18mm)/(1))* ((1cm)/(10mm))=1.8cm$

$((1m)/(1)) *((100cm)/(1m))=100cm$

$((3dm)/(1))* ((10cm)/(1dm))=30cm$

Therefore we can rank them in order now:

18mm < 7 cm < 3 dm < 1 m

Draw a number line from –10 to 10. Put tick marks at each integer. Graph a point with the given coordinate. point F, coordinate –7

Which is true about point F on the number line?
A.

Point F is 7 units to the right of 0.

B.

Point F is 1 unit to the right of –6.

C.

Point F is 1 unit to the left of –6.

D.

Point F is 7 units to the left of 7.

Answers

lets try to draw a line here, now, I can draw the tick marks but you can imagine them that there are above the numbers

__________F________________________________________________
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 1 0

the answer is C

Assume the bear can walk in any direction at a rate of 2 miles per hour. Suppose the bear was last seen 4 hours ago.how large an area must the searchers cover? use 3.14.round your answer to the nearest mile.

Answers

The bear can walk at a rate of 2 mph, which means after 4 hours it could have traveled 8 miles. That is our radius. To calculate the area of a circle, remember the formula
A = $\pi$ r^2

3.14 * 8^2 = A
3.14 * 64 = A
200.96 = A

An area of 200.96 square miles must be searched.

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How do you work out the prince of a gallon of gas dropped from the summer high price of $3.50 to the winter low price of $2.87. By what percentage was the price of gas reduced? How do you get 4.50 %?

Rearrange x=3g+2 to make g the subject.

How do I do this?!?! Pls help!!! 40 points!!