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Nutka1998 [239]
3 years ago
6

Can someone help please? A) 4cm B) 21cm C)13.2cm D)10.7cm

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
Sin θ = \frac{opp}{hyp}

If θ = 51° ; opp = QR ; hyp = 17 cm

Then sin 51° = \frac{QR}{17cm}

              ⇒  QR  = (sin 51°) (17 cm)
                           = 13.21 cm

           ∴ the answer is OPTION C
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quester [9]

Answer:

\large\boxed{C.\ 2x^3-x^2-18x+9}

Step-by-step explanation:

\text{Use}\ a^2-b^2=(a-b)(a+b)\qquad(*)\\\\\underbrace{(x-3)(x+3)}_{(*)}(2x-1)=(x^2-3^2)(2x-1)=(x^2-9)(2x-1)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x^2)(2x)+(x^2)(-1)+(-9)(2x)+(-9)(-1)\\\\=2x^3-x^2-18x+9

3 0
3 years ago
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Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measur
uysha [10]

Answer:

The answer is number 4. 21.3 cm

Step-by-step explanation:

In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.

We substitute the values in the Pythagorean Theorem

c² = a² + b²

We clear the equation for b

b² = c² - a²

b² = (24)² - (11)²

b² = 576 - 121

b² = 455

√b² = √455

b = 22.3 cm

4 0
3 years ago
"which of the numbers below can be classified as an integer" and the options are . 10÷2 , -0.3 ,√20 ,. 0.4​
Ivahew [28]

Answer:

The number 10/2 = 5 is an integer.

Step-by-step explanation:

An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...

Integer can be positive,  negative of zero.

\frac{10}{2}=5

It is a whole number so it is an integer.

- 0.3

It is not an integer as it has a fractional part.

\sqrt20

It also has a fractional part, so it is not an integer.

0.4

It also has a fractional part, so it is not an integer.

4 0
3 years ago
6.) What is the similarity ratio?<br> A. 10:20<br> B. 10:28<br> (C.)5:14<br> D. 1:2
lesya692 [45]

Answer:

A AND D

B AND C

Step-by-step explanation:

If you change A into lowest terms it equals D

and if you cjange B into lowest terms it would equals C

5 0
3 years ago
Let f(x) = x2 − 8x + 5. Find f(−1).
Westkost [7]
F(x) = x^2 - 8x + 5

f(-1) = -1^2 - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 14 <==
3 0
3 years ago
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