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3 years ago

Find the area of triangle ABC when b= 141 degrees a= 7 and c=8

1 answer:

7 0

You basically use the formula height*base/2 to find the area of the triangle. For instance, let's say a is your chosen base, which has a length of 7. You then use the pythagorean theorem of the right triangle (which is formed by splitting the triangle in half), which is a^2+b^2=c^2, and you substitute half your base for a and the other length (8) for c, which is the hypotenuse of the triangle. Note how this is all being done to find "b", which is the height of the triangle, which will then help you substitute all of your known values into the area formula of a triangle to answer your question. I'm not sure if b=141 degrees would have an impact on this question, but I hope this helped you in some way.

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Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

Karolina [17]

Hello There!

n - d = 0

5n+10d = 90

----------------------

n-d = 0

n+2d = 18

-------------------

Subtract and solve for "d":

3d = 18

d = 6 (# of dimes)

n = d = 6 (# of nickels)

8 0

3 years ago

Write the product in standard form. ( 9 + 5i)( 9 + 8i)

disa [49]

( 9 + 5i)( 9 + 8i)
= 9(9+8i)+5i(9+8i)
= 81+72i+45i+40i^2
= 81+117i+40(-1)
= 81-40+117i
= 41+117i. Answer

8 0

3 years ago

In this question , all lengths are in centimetres. AB= 3x-4,AC=2x+12,BC=7x-2.given AB:AC=1:2 show that AC:BC=2:3

Lelu [443]

Answer:

AX : XB as AB : AC

AX = 5

XB = 4

AC = 6

AB = x

Step-by-step explanation:

5 : 4 as to x : 6

ratios can also be written as fractions...

5/4 = x/6 ..now we have a proportion...so we cross multiply

(4)(x) = (5)(6)

4x = 30

x = 30/4

x = 15/2 <==== AB = 15/2

4 0

3 years ago

Read 2 more answers

What are the domain and range of f(x)=log(x-1)+2?

marta [7]

Answer: Domain = $(-1, \infty)$

Range = $(-\infty, \infty)$

Step-by-step explanation:

Here, the given function,

$f(x) = log(x-1) + 2$

Since log( negative number ) = not defined

Also,

$log(0) = -\infty$

Hence, f(x) is defined if x - 1 > 0

⇒ x > 1

Thus, f(x) is defined for all the values that are greater than 1,

⇒ Domain of f(x) = All real number greater than 1,

= $(1, \infty)$

Now, for the interval $(1, \infty)$ ,

f(x) can be any real number.

Thus, the range of the given function = $(-\infty, \infty)$

3 0

3 years ago

Read 2 more answers

ou watch a roulette wheel spin 3 consecutive times and each time the ball lands in a red slot. What is the | probability that th

spayn [35]

Answer:

The probability is $\frac{18}{38}=0.4736$

Step-by-step explanation:

The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.

If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.

In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).

Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :

$P(Red)=\frac{18}{38}=0.4736$

We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.

The probability is $\frac{18}{38}=0.4736$

6 0

2 years ago