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2 years ago

The Venn diagram shows the relationship between several sets of numbers.

Mathematics

1 answer:

svet-max [94.6K]2 years ago

8 0

Answer: C

Step-by-step explanation: i’m doing the test too

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If AC = 40, find the length of JK.

lesantik [10]

Answer:

JK = 24

Step-by-step explanation:

Δ BKJ and Δ BCA are similar triangles and ratios of corresponding sides are equal, that is

$\frac{JK}{AC}$ = $\frac{BK}{BC}$ , substitute values

$\frac{JK}{40}$ = $\frac{3}{5}$ ( cross- multiply )

5JK = 120 ( divide both sides by 5 )

JK = 24

8 0

3 years ago

Read 2 more answers

What is 7.8 as a fraction?

Inessa05 [86]

7 & 8/10 or 78/10 ( which is the same thing)

5 0

3 years ago

What is bigger 1/3 or 3/5

raketka [301]

$Method\ 1:$

$\dfrac{1}{3}=\dfrac{1\cdot5}{3\cdot5}=\dfrac{5}{15}\\\\\dfrac{3}{5}=\dfrac{3\cdot3}{5\cdot3}=\dfrac{9}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}\ therefore\ \dfrac{3}{5}\ is\ bigger$

$Method\ 2:$

$\dfrac{1}{3} < \dfrac{1}{2}=\dfrac{1.5}{3}\\\\\dfrac{3}{5} > \dfrac{1}{2}=\dfrac{2.5}{5}\\\\therefore\ \dfrac{3}{5}\ is\ bigger$

6 0

3 years ago

What is the surface area of the triangular prism represented by the net below?

abruzzese [7]

There isnt a image of the shape

7 0

3 years ago

How do I solve the equation in an interval from 0 to 2π ? 9 cos 2t = 6

Ivahew [28]

$9\cos(2t)=6\implies\cos(2t)=\dfrac23$

Using the fact that cos is 2π-periodic, we have

$\cos(2t)=\dfrac23\implies2t=\cos^{-1}\left(\dfrac23\right)+2n\pi$

That is, $\cos(\theta+2n\pi)=\cos\theta$ for any $\theta$ and integer $n$ .

$\implies t=\dfrac12\cos^{-1}\left(\dfrac23\right)+n\pi$

We get 2 solutions in the interval [0, 2π] for $n=0$ and $n=1$ ,

$t=\dfrac12\cos^{-1}\left(\dfrac23\right)\text{ and }t=\dfrac12\cos^{-1}\left(\dfrac23\right)+\pi$

4 0

2 years ago