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galina1969 [7]
2 years ago
13

Round your answer to the nearest hundredth.

Mathematics
1 answer:
docker41 [41]2 years ago
6 0

Answer:

cos(a) =  \frac{ac}{ab}  \\ cos \: 40° =  \frac{x}{4}  \\ x = 4 \cos40° \\ x = 3.0641 \\  \\ approimatly \\ x = 3.06

You might be interested in
find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)​
Natalija [7]

Answer:

Step-by-step explanation:

x²+y²-2x-10y+1=0

compare with x²+y²+2gx+2fy+c=0

center is (-g,-f)

radius=√(g²+f²-c)

2g=-2

g=-1

2f=-10

f=-5

radius=(1,5)

c=1

let eq. of circle be x²+y²-2x-10y+c=0

∵ it passes through (2,-3)

2²+(-3)²-2(2)-10(-3)+c=0

4+9-4+30+c=0

c=-39

eq. of circle is is x²+y²-2x-10y-39=0

7 0
2 years ago
2 divide by 7/6<br> pls help
Inessa [10]

Answer:

<em><u>7/6 ÷ 2 = 7/12 in fraction form. </u></em>

<em><u>7</u></em><em><u>/</u></em><em><u>6 ÷ 2 = 0.5833 in decimal form</u></em>

Step-by-step explanation:

6 divided by 7 equals 6/7 or 0.86

5 0
3 years ago
Jack is 4 times as old as lacy. 3 years from now the sum of their ages will be 71. How old are they now
Ivenika [448]

jack is 284 and lacy is 71 cuz 71 x 4 is 284

plz mark brainlyest

Bye!

8 0
3 years ago
Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers
Vinvika [58]

Answer:

A. 1.812

B. 1.753

C. 2.602

D. 3.747

E. 2.069

F. 2.453

Step-by-step explanation:

A. 95% confidence level, the level of significance = 5% or 0.05

Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 10 degrees of freedom = 1.182

B. 95% confidence interval = 0.05 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.05 significance level with 15 degrees of freedom = 1.753

C. 99% confidence interval = 0.01 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 15 degrees of freedom = 2.602

D. 99% confidence interval = 0.01 level of significance; DF (n - 1) = 5- 1 = 4

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 4 degrees of freedom = 3.747

E. 98% confidence interval = 0.02 level of significance

Using t-table, the critical value for a lower or an upper confidence bound at 0.02 significance level with 23 degrees of freedom = 2.069

F. 99% confidence interval = 0.01 level of significance; df (n - 1) = 32 - 1 = 31

Using t-table, the critical value for a lower or an upper confidence bound at 0.01 significance level with 31 degrees of freedom = 2.453

7 0
4 years ago
The equation for line A is given by Y=1/3x+4.Suppose line A is parallel to line B and line T is perpendicular to line A. Point (
Dovator [93]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with m = \frac{1}{3}

(a)

Parallel lines have equal slopes, thus

y = \frac{1}{3} x + c ← is the partial equation of line B

To find c substitute (- 3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = \frac{1}{3} x + 2 ← equation of line B

(b)

Given a line with slope m then the slope of a perpendicular line is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3, thus

y = - 3x + c ← is the partial equation of line T

To find c substitute (- 3, 1) into the partial equation

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = - 3x - 8 ← equation of line T

4 0
3 years ago
Read 2 more answers
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