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3 years ago

Which figures below are similar? 1 and 2 2 and 3 2 and 4 1 and 4

Mathematics

2 answers:

vladimir2022 [97]3 years ago

8 0

Answer:

can you take a picture of your problem

vovikov84 [41]3 years ago

3 0

Answer:

show the picture of the figure

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Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of

jeka57 [31]

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

$c^2=a^2+b^2-2ab\cos C$

a = 33 cm, b = 37 cm and C is 120°

So,

$c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm$

So, the length of the third side of the triangle is 60.65 cm.

7 0

3 years ago

Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] <img src="https://tex.z-dn.net/?f=Find%20the

Anna35 [415]

There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).

5 0

3 years ago

(x + 2)(x2 + 5x + + 1)

butalik [34]

Answer:

${x}^{3} + 7 {x}^{2} + 11x + 2$

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

6 0

3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

the gas tank on toms car holds 20 gallons of gas. The fuel gauge of her car shows that the tank is 3/4 full. How many gallons of

Ahat [919]

Simples! It's 15,

Hope it helped

4 0

3 years ago

Read 2 more answers