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3 years ago

Can someone help me with this math question?

Mathematics

2 answers:

Triss [41]3 years ago

8 0

It would be 19

42-23=19

dlinn [17]3 years ago

7 0

42-23=19

Let me know if you need any further help.

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Which ratio is equivalent to Sun U?

adelina 88 [10]

Answer:

(a) SV/VW

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides in a right triangle. This problem also makes use of the properties of similar triangles:

corresponding sides are proportional
corresponding angles are congruent

<h3>sine ratio</h3>

The sine of angle U is given by ...

Sin = Opposite/Hypotenuse

The side opposite angle U in ΔTUS is ST. The hypotenuse of that right triangle is side TU. This means the desired ratio is ...

sin(U) = Opposite/Hypotenuse = ST/TU

<h3>corresponding ratio</h3>

In similar ΔVWS, angle W has the same measure as angle U. Its sine will be the ratio of the corresponding sides. The similarity statement ΔTUS~ΔVWS tells you that the side corresponding to ST is SV, and the side corresponding to TU is VW.

sin(U) = sin(W) = SV/VW

4 0

1 year ago

Direct variations need help

Solnce55 [7]

Answer:

Part 11) The table represent a direct variation. The equation is $y=18x$

Part 12) The table represent a direct variation. The equation is $y=0.4x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Part 11)

For x=0.5, y=9

Find the value of k

$k=y/x$ -----> $k=9/0.5=18$

For x=3, y=54

Find the value of k

$k=y/x$ -----> $k=54/3=18$

For x=-2, y=-36

Find the value of k

$k=y/x$ -----> $k=-36/-2=18$

For x=1, y=18

Find the value of k

$k=y/x$ -----> $k=18/1=18$

For x=-8, y=-144

Find the value of k

$k=y/x$ -----> $k=-144/-8=18$

The values of k is the same for each ordered pair

therefore

The table represent a direct variation

The linear equation is

$y=18x$

Part 12)

For x=-5, y=-2

Find the value of k

$k=y/x$ -----> $k=-2/-5=2/5=0.40$

For x=3, y=1.2

Find the value of k

$k=y/x$ -----> $k=1.2/3=0.40$

For x=-2, y=-0.8

Find the value of k

$k=y/x$ -----> $k=-0.8/-2=0.4$

For x=10, y=4

Find the value of k

$k=y/x$ -----> $k=4/10=0.4$

For x=20, y=8

Find the value of k

$k=y/x$ -----> $k=8/20=0.4$

The values of k is the same for each ordered pair

therefore

The table represent a direct variation

The linear equation is

$y=0.4x$

8 0

3 years ago

Wayne Webster is a teacher who makes $45,500 per year. His school district must pay FICA tax in the amount of 7.65% of his pay.

rusak2 [61]

7.2% is the answer i got this one right

6 0

3 years ago

Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the

kirill115 [55]

Answer:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

$n = 1019$ represent the sampel size

$\hat p=0.6$ represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: