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3 years ago

What is the cotangent of angle G? A. 24/10 B. 13/12 C. 5/12 D. 12/10

Mathematics

1 answer:

sveta [45]3 years ago

5 0

A.
Tangent is Opp/Adj
tan = 10/24

And cotan is tan flipped so
Adj/Opp

Cot= 24/10

A.

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Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long

7nadin3 [17]

The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:
$k = \frac{RP}{HF}$
$k = \frac{7.2}{12}$
$k = 0.6$
To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:

For PQ
$PQ = k * FG

PQ = 0.6 * 5

PQ = 3$

For QR
$QR = k * GH

QR = 0.6 * 10

QR = 6$

Answer:
You have that the lengths for the other two sides of triangle PQR are:
$PQ = 3

QR = 6$

3 0

3 years ago

What square root is larger that the square root of 17

Ymorist [56]

Answer:

i would have to say the square root of 26 since its 5.099

Step-by-step explanation:

8 0

3 years ago

Which of the following is the radical expression of a5/7

ioda

Answer:

The seventh root of a^5

Step-by-step explanation:

$a^{5/7}$

is equal to

$\sqrt[7]{a^5}$

because

$b^{1/m} = \sqrt[m]{b}$

hope this makes sense and helps

6 0

3 years ago

Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2^x − 8? Use either the remainder theorem or the factor theorem to explain your reaso

Natasha_Volkova [10]

Answer:

Not a factor

Step-by-step explanation:

We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).

Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not

$f(x)=x^{3}-3x^{2}+2x-8$

Substituting x = -7, we get:

$f(-7)=(-7)^{3}-3(-7)^{2}+2(-7)-8\\\\ f(-7)=-512$

Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)

4 0

3 years ago

Matthew currently has enough money to buy 45 toy cars. If the cost of each car was 10 cents less, Matthew could buy 5 more cars.

Law Incorporation [45]

The answer is $45

Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has

<span>Matthew currently has enough money to buy 45 toy cars:
y =45x
</span><span>If the cost of each car was 10 cents less, Matthew could buy 5 more cars:
y = (x - 10)*(45 + 5)

45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1

y = 45x = 45 * 1 = $45</span>

5 0

3 years ago