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3 years ago

Find the value of x. Round to the nearest tenth.

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

SOH

sinФ = opposite/hypentenous

sin35 = x/20

0.574 = x/20

cross multiply

x = 20(0.574)

x = 11.48

Round to the nearest tenth.

x = 11.5

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SOS if anyone could help that would be appreciated!!!❤️

Anastaziya [24]

Answer:

See below

Step-by-step explanation:

$2e)15-4x=10x+45$

Solve:

$15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}$ $3(x+1)=21$

Check:

$15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45$

$15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45$

$\dfrac{210}{7} =30$

$30=30$

$3a) 3(x+1)=21$

Solve:

$3(x+1)=21\\3x+3=21\\3x=18\\x=6$

$3b) 2+3(x+1)=6x$

$2+3x+3=6x\\5=3x\\$

$x=\dfrac{5}{3}$

$3c) -2(2x-3)=-2$

Solve:

$-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2$

3 0

3 years ago

liza is running at the beach, if she runs 13.25 miles each day, how many miles will she run in seven days?

Ad libitum [116K]

Answer:

92.75 miles per 7 days

Step-by-step explanation:

13.25 mi/day times 7 days works out to 92.75 miles per 7 days.

4 0

3 years ago

Read 2 more answers

What is 2/3x+4=4/5x-2

Anuta_ua [19.1K]

Hey there!

Apply fraction cross multiply: if a/b = c/d , then a *d = b*c

2 ( 5x - 2 ) = ( 2x + 4 ) * 4

expand : 2 (5x-2 ) => 2*5x - 2*2 => 10x - 4

expand : ( 2x +4 ) * 4 => 2x * 4 + 4*4 => 8x + 16

10x - 4 = 8x+16

add 4 to both sides:

10x-4+4 = 8x+16+4

simplify :

10x = 8x + 20

subtract 8x from both sides:

10x -8x = 8x+20-8x

simplify:

2x = 20

Therefore:

x = 20 / 2

x = 10

Hope that helps!

8 0

3 years ago

Read 2 more answers

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. A survey

marta [7]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Sample size = 865 = n

Number of voters favor approval of an issue before the legislature = 408 = x

So, $\hat{p}=\dfrac{x}{n}=\dfrac{408}{865}=0.4716$

At 95% confidence level of significance, z = 1.96

So, confidence interval would be

$\hat{p}\pm z\sqrt{\dfrac{p(1-p)}{n}}}\\=0.4716\pm 1.96\times \sqrt{\dfrac{0.4716\times (1-0.4716)}{865}}}\\\\=0.4716\pm 0.00082222\\\\=(0.4716-0.00082222..,0.4716+0.00082222...)\\\\=(0.471,0.472)$

Hence, option 'c' is correct.

8 0

3 years ago

G) Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.

katrin [286]

The residual plot does not show a linear model and the estimated GPA of a student who studies for 15 hours a week is 3.17

<h3>How to interpret the residual plot?</h3>

The figure (1) represents the residual plot.

In the residual plot of a linear model, the line of the plot is represented by a horizontal line

From the figure, the line of the plot is not an horizontal line.

Hence, the residual plot does not show a linear model

<h3>The estimated GPA</h3>

The number of hours is given as:

x = 15 hours

The regression line is given as:

y = 0.134x + 1.16

Substitute 15 for x

y = 0.134 * 15 + 1.16

Evaluate

y =3.17

Hence, the estimated GPA of a student who studies for 15 hours a week is 3.17

Read more about regression equations at:

brainly.com/question/25226042

#SPJ1

4 0

3 years ago