All categories

2 years ago

How many dominos are needed to complete the triangle?

Mathematics

2 answers:

solong [7]2 years ago

5 0

Only 3 is needed

Step-by-step explanation:

Kamila [148]2 years ago

3 0

Answer:

B. 6

Detailed explanation:

Alright, so using the Pythagorean theorem, $c^{2} =a^{2} +b^{2}$ in this case, we have the "c" and "b" of the triangle. Therefor, we are looking for "a"

so, to solve the problem, simply begin by substituting what you already have:

$10^{2} =a^{2} +8^{2}$

Now that this is substituted, The next step is to go ahead and find the values after solving the exponents:

$10^{2} =100\\
8^{2}=64$

Now, we need to find the value of "a".

In this case, we are provided with 4 options and one of them has to be correct.

If "a"=12 then "a squared" would equal 144.

the statement 100=144+64 is incorrect.

If "a"=6 then "a squared" would be 36.

The statement 100=36+64 is correct.

If "a"=36 the "a squared" would be 1296.

The statement 100=1296+64 is incorrect.

If "a"=18, then "a squared" would be 324.

The statement 100=324+64 is incorrect.

Therefor, the answer is B.6

Hope this helps ^-^

You might be interested in

Math question down below

mixer [17]

Y=3x

Y is always equal to 3 times x.

b=3(5)
b=15

30=3(a)
10=a

8 0

3 years ago

An automobile manufacturer has given its car a 52.6 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Arte-miy333 [17]

Answer:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

Step-by-step explanation:

Information provided

$\bar X=52.8$ represent the sample mean for the MPG of the cars

$\sigma=1.6$ represent the population standard deviation

$n=250$ sample size of cars

$\mu_o =52.6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

Replacing we have this:

$z=\frac{52.8-52.6}{\frac{1.6}{\sqrt{250}}}=1.976$

Decision

Since is a two tailed test the p value would be:

$p_v =2*P(z>1.976)=0.0482$

Since the p value is lower than the significance level wedon't have enough evidence to conclude that the true mean is significantly different from 52.6 MPG.

3 0

3 years ago

Mindy buys 12 cupcake. Nine of the cupcake have chocolate frosting and the resy have vanilla frosting. What fraction of the cupc

Setler [38]

If there are 12, and nine have chocolate, subtract 9 from 12. You will get 3, so you will get 3/12.

4 0

3 years ago

Read 2 more answers

Francis is getting new carpet tiles in his living room and den. His living room and den are connected. He needs to figure out ho

viva [34]

Answer:

it could be A or C