Find the measure of ZJ, the smallest angle in a triangle
with sides measuring 11, 13, and 19. Round to the
nearest whole degree.
O 30°
O 34°
o 42°
O 47°

Find The Measure Of ZJ, The Smallest Angle In A Trianglewith Sides Measuring 11, 13, And 19. Round To

Answers

Answer 1
Make A the subject
2bc.cos(A) = b^2 + c^2 - a^2
cos(A) = (b^2 + c^2 - c^2) / (2bc)
cos(A) = (13^2 + 19^2 - 11^2) / (2 x 13 x 19) = 0.827935
A = 34 degrees

Related Questions

g Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. (-4, 8), undefined slope Hint: Any line parallel to Y axis has undefined slope.

Answers

Answer:

The equation is x + 4 = 0.

Step-by-step explanation:

Point (-4 , 8)

A line parallel to the Y axis has slope is infinite.

The equation of line is

[tex]y - y' = m (x-x')\\\\y - 8 =\frac{1}{0}(x+4)\\\\x + 4 = 0[/tex]

help me with my work pls

Answers

Answer:

-75/4

Step-by-step explanation:

75 x 100 = 7500

4 x 100 = 400

Which of these shapes have the same area?

Answers

Answer:

wheres the picture?

Step-by-step explanation:

need assistance with this, thank you ​

Answers

Answer:

B. 1✓3 in.

Search It ok

I see the answer :)

If he is correct, what is the probability that the mean of a sample of 68 computers would differ from the population mean by less than 2.08 months

Answers

Complete Question

The quality control manager at a computer manufacturing company believes that the mean life of a computer is 91 months with a standard deviation of 10 months if he is correct. what is the probability that the mean of a sample of 68 computers would differ from the population mean by less than 2.08 months? Round your answer to four decimal places. Answer How to enter your answer Tables Keypad

Answer:

[tex]P(-1.72<Z<1.72)=0.9146[/tex]

Step-by-step explanation:

From the question we are told that:

Population mean \mu=91

Sample Mean \=x =2.08

Standard Deviation \sigma=10

Sample size n=68

Generally the Probability that The  sample mean  would differ from the population mean

P(|\=x-\mu|<2.08)

From Table

[tex]P(|\=x-\mu|<2.08)=P(|z|<1.72)[/tex]

T Test

[tex]Z=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]Z=\frac{2.08}{\frac{10}{\sqrt{68} } }[/tex]

[tex]Z=1.72[/tex]

[tex]P(|\=x-\mu|<2.08)=P(|z|<1.72)[/tex]

[tex]P(-1.72<Z<1.72)[/tex]

Therefore From Table

[tex]P(-1.72<Z<1.72)=0.9146[/tex]

Suppose f(x)=x^2. What is the graph of g(x)=1/2f(x)?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The graph of g(x) is a vertically scaled version of the graph of f(x). The scale factor is 1/2, so vertical height at a given value of x is 1/2 what it is for f(x). This will make the graph appear shorter and fatter than for f(x).

The graph of g(x) is attached.

Find the slope and then an equation for each line.

Answers

the slope for 1 is 3/9 or 1/3 so the equation can be y-0=1/3(x-0)
and for 2 the slope is -2/-8 or 1/4 and the equation is y-0=1/4(x-0)

identify the angles relationship

Answers

Answer:

Adjacent

Step-by-step explanation:

Adjacent angles are two angles that have a common vertex and a common side but do not overlap

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 23 ft/s. The ball's height h (in feet) after 1 seconds is given by the following.
h = 7+23t-16t^2
Find all values of 1 for which the ball's height is 15 feet.

Answers

Answer:

Step-by-step explanation:

If we are looking for the time(s) that the ball is at a height of 15, we simply sub in a 15 for the height in the position equation and solve for t:

[tex]15=-16t^2+23t+7[/tex] and

[tex]0=-16t^2+23t-8[/tex]

Factor this however you factor a quadratic in class to get

t = .59 seconds and t = .85 seconds.

This means that .59 seconds after the ball was thrown into the air it was 15 feet off the ground. Then the ball reached its max height, gravity took over, and began pulling it back down to earth. The ball passes the height of 15 feet again on its way down after .85 seconds.

I need some help! thank you!

Answers

Answer:

The 1st,Thrid, Fifth Option

Step-by-step explanation:

The first option is true. We can move the orginal square root function to get g(x).

The second option is false. Function g(x) which equals

[tex] \sqrt{x - 3} - 1[/tex]

Domain is all real numbers greater than or equal to 3.

The third option is true. Since minimum point we can get is 0 in a square root function. We have a vertical shift so our new minimum point is

[tex]0 - 1 = - 1[/tex]

We can take the sqr root of 0 so

So all real numbers that are greater than or equal to -1 is true.

The fourth option is false, we need to add 3 instead of subtract 3.

The fifth option is true, we can do that to get back to our original function

Which is heavier, 4- kilograms
or
4
4 kilograms?

Answers

Answer:

i think 4 4 kilograms if im wrong sorry

Step-by-step explanation:

A passenger car will go 455 miles on 17.5 gallons of gasoline in city driving what is the rate in miles per gallon ?

Answers

Answer:

26 gallons

Step-by-step explanation:

Take the miles and divide by the gallons

455 miles / 17.5 gallons

26 miles per gallon

Evaluate − x 2 −5 y 3 when x = 4 and y =−1

Answers

Answer:

-11

Step-by-step explanation:

I am going to assume that it is -x^2-5y^3.

-(4^2)-5(-1^3)

-16-5(-1)

-16+5

-11

Answer:

- 11

Step-by-step explanation:

If x = 4,  y = -1

then,

        - x^2 - 5y^3 = - (4)^2 - 5(-1)^3

                            = - 16 + 5

                            = - 11

I need help solving this problem

Answers

Answer:

300

Step-by-step explanation:

Let f(x) = 5 + 12x − x^3. Find (a) the x- coordinate of all inflection points, (b)
the open intervals on which f is concave up, (c) the open intervals on which
f is concave down.

Answers

Answer:

A) x = 0.

B) f is concave up for (-∞, 0).

C) f is concave down for (0, ∞).

Step-by-step explanation:

We are given the function:

[tex]f(x)=5+12x-x^3[/tex]

A)

We want to find the x-coordinates of all inflection points.

Recall that inflections points (may) occur when the second derivative equals zero. Hence, find the second derivative. The first derivative is given by:

[tex]f'(x) = 12-3x^2[/tex]

And the second:

[tex]f''(x) = -6x[/tex]

Set the second derivative equal to zero:

[tex]0=-6x[/tex]

And solve for x. Hence:

[tex]x=0[/tex]

We must test the solution. In order for it to be an inflection point, the second derivative must change signs before and after. Testing x = -1:

[tex]f''(-1) = 6>0[/tex]

And testing x = 1:

[tex]f''(1) = -6<0[/tex]

Since the signs change for x = 0, x = 0 is indeed an inflection point.

B)

Recall that f is concave up when f''(x) is positive, and f is concave down when f''(x) is negative.

From the testing in Part A, we know that f''(x) is positive for all values less than zero. Hence, f is concave up for all values less than zero. Our interval is:

[tex](-\infty, 0)[/tex]

C)

From Part A, we know that f''(x) is negative for all values greater than zero. So, f is concave down for that interval:

[tex](0, \infty)[/tex]

The regression analysis can be summarized as follows: Multiple Choice No significant relationship exists between the variables. A significant negative relationship exists between the variables. For every unit increase in x, y decreases by 12.8094. A significant positive relationship exists between the variables

Answers

Answer:

A significant negative relationship exists between the variables

Step-by-step explanation:

Base on the information given in the question which goes thus : For every unit increase in x, y decreases by 12.8094. The value 12.8094 is the slope which is the rate of change in y variable per unit change in the independent variable. The sign or nature of the slope Coefficient gives an hint about the relationship between the x and y variables. The slope Coefficient in this case is negative and thus we'll have a negative relationship between the x and y variables (an increase in x leads to a corresponding decrease in y). This is a negative association.

Simplify 3/4 + 5/8 over 3/4 - 1/2

Answers

Answer:

11/2

Step-by-step explanation:

[tex]\frac{\frac{3}{4} + \frac{5}{8} }{\frac{3}{4} - \frac{1}{2} }[/tex]

= 3/4 + 5/8 = 11/8 (take LCM)

3/4 - 1/2 = 1/4 (take LCM)

11/8 ÷ 1 /4

= 11/8 x 4

= 11/2

Answered by Gauthmath

−3 1​/2 ÷ 1 1/4
khan academy
answer in simplified proper fraction
or
simplified improper fraction

Answers

Answer:

Step-by-step explanation:

Change the mixed numbers to improper fractions.

Solve for x.
7(x+2) = 6(x+5)
O x=-44
O X=-16
O x= 44
O x= 16

Answers

Answer:

x = 16

Step-by-step explanation:

7(x + 2) = 6(x + 5)

First, to start solving this problem, we have to distribute the "7" to the "x + 2" in the parenthesis and the "6" to the "x + 5" in the parenthesis.

7x + 14 = 6x + 30

Next, let's subtract "6x" from both sides of this equation!

x + 14 = 30

Now, we have to subtract "14" from both sides of the equation.

x = 16

Lastly! Let's make sure our "x=" equation is correct by inputting our value into the "x" values.

7(16 + 2) = 6(16 + 5)

7(18) = 6(21)

126 = 126

Since our equations equal each other we know that our x-value is correct!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Plz help me find x and show work​

Answers

Answer:

9^2 + 12^2 = x^2

81 + 144 = 225

225 ÷ 15 = 15

the answer for this question is 15

Step-by-step explanation:

PLEASE HELP AND BE CORRECT BEFORE ANSWERING

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The length of A'B' is 3 units.

The length of AB is 1 unit.

The scale factor is A'B'/AB = 3/1 = 3.

What is the solution to this equation?
6
O A. x = 18
O B. x= -2
O c. x= -18
O D. X= 21

Answers

Answer:

O C. x = -18

Step-by-step explanation:

x/-3 = 6

x = denominator multiplied by quotient.

x = -3 x 6

x = -18

. Mildred bought an old
necklace and pair of earrings
while at an antique show. If
the cost of the jewelry is ]
and tax is 7%, which of the
following equations could be
used to find the total cost of
the jewelry?
a. .07 + ]
b. J +.07 x)
C. (.07x)) + ]
d. 7) + ]

Answers

Answer:

j * .07 +j

Step-by-step explanation:

The tax on the jewelry is J* .07

Add the tax to the cost of the jewelry to get the total cost

j * .07 +j

Use the functions below to complete Parts 1 and 2.

f(x)= |x| g(x)= |x+2| - 3

Part 1: Graph f(x) and g(x) on the grid below. Label each graph.

HINT: Making a table of values for each function may help you to graph them.

Part 2: describe how the graph of g(x) relates to the graph of its parent function, f(x).

HINT: Think about how f(x) was shifted to get g(x).

Answers

9514 1404 393

Answer:

  1. see below

  2. g(x) is f(x) translated left 2 and down 3

Step-by-step explanation:

1. The graphs are attached. F(x) is in red; g(x) is in blue.

__

2. The graph of g(x) = f(x -h) +k is the parent function translated by (h, k). Here we have (h, k) = (-2, -3), so g(x) is f(x) translated left 2 and down 3.

The null hypothesis and the alternate hypothesis are: H0: The frequencies are equal. H1: The frequencies are not equal. Category f0 A 10 B 30 C 30 D 10 State the decision rule, using the 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of chi-square. (Round your answer to 2 decimal place.) What is your decision regarding H0

Answers

Answer:

Reject H0

Step-by-step explanation:

Given :

H0: The frequencies are equal. H1: The frequencies are not equal

Category f0 A 10 B 30 C 30 D 10

Total f0 = (10 + 30 + 30 + 10) = 80

Expected frequency is the same for all categories :

Expected frequency = 1/4 * 80 = 20

χ² = Σ(observed - Expected)² / Expected

χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20

χ² = (5 + 5 + 5 + 5) = 20

Pvalue = 0.00017

Pvalue < α

The shiny silver mouse has a population mean size of 8.3 cm and and a population standard deviation of 1.2 cm. If one individual is sampled from the population what is the probability that it will be greater than 9 cm

Answers

Answer:

41.67%

Step-by-step explanation:

[tex]Z = \frac{x-\alpha}{\sigma}[/tex]     9-8.3 = 0.7/1.2 = 0.5833  1-0.5833 = 0.4167*10 = 41.67%

The probability of the individual sample which is greater then 9 cm is 0.2799601 .

What is probability?

'Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the total number of cases possible.'

According to the given problem,

μ = 8.3 cm

σ = 1.2 cm

X ≈ N[tex](0,1)P(X < x )[/tex]

= P(Z = X - μ / σ)

here , X ≈ N (8.3 , [tex](1.2)^2)P(X > 9)[/tex]

= P[tex](Z > \frac{9-8.3}{1.2})[/tex]

⇒ P[tex](Z>0.583333)[/tex]

⇒ 1 - P[tex](Z<0.583333)[/tex]

⇒ 1 - 0.7200399 [ for greater surface area of the bell-curve ]

⇒ 0.2799601

Hence, we can conclude, the probability of individual sample is 0.2799601 .

Learn more about the probability here :brainly.com/question/23211929?#SPJ2

I need help finding the answer to this question on edge.

Answers

Answer:

6

Step-by-step explanation:

We need to evaluate :-

[tex]\rm\implies \displaystyle\rm\sum^4_n (-1)^n (3n + 2 ) [/tex]

Here the [tex]\Sigma[/tex] is the sum operator . And here we need to find the sum from n = 1 to n = 4 . We can write it as ,

[tex]\rm\implies (-1)^1 ( 3*1 +2) + (-1)^2 ( 3*2+2) + (-1)^3(3*3+2) + (-1)^4(3*4+2) [/tex]

Now we know that for odd powers of -1 , we get -1 and for even powers we get 1 . Therefore ,

[tex]\rm\implies -1 ( 3 + 2 ) + 1 (6+2)+-1(9+2)+1(12+2)[/tex]

Now add the terms inside the brackets and then multiply it with the number outside the bracket . We will get ,

[tex]\rm\implies -1 * 5 + 1 * 8 + -1*11 + 1*14 \\\\\rm\implies -5 + 8 - 11 + 14 \\\\\rm\implies\boxed{\quad 6 \quad}[/tex]

Hence the required answer is 6.

Umm.. Hi there! Can someone please help me out with this? (only for those who know the answer)

Bcoz I really need this rn :(


DUEEEE AFTERRR LUNCHH! :(:(:(:(


If your answer is NONSENSE it will be deleted as soon as possible!

But if your answer is CORRECT, HELPFUL, HAS AN EXPLANATION, I'll chose your answer as the BRAINLIEST ANSWER!

Answers

Answer:

The Exterior Angle of triangle LDR is angle d. The Remote Interior Angles are a and b.

The Exterior Angle of triangle PDR is angle 4. The Remote Interior Angles are angles 1 and 2

Explanation:

Interior angles are the angles that are inside the shape. The remote interior angles would be the 2 angles away from the exterior angle.

The exterior angle is the angle, made by the side of the shape and a line drawn out from an adjacent side.

I hope this helps!

Answer:

In LDR

Exterior = d Interior = a, b

In PDR

Exterior = 4Interior = 1, 2

Exterior angle of a triangle is formed when one side of the triangle is extended .

Interior remote angles the angles in the triangle that do not lie on the extended side.

find c.round to the nearest tenth

Answers

Answer:

we need a picture...

Step-by-step explanation:

An oil tanker spills oil that spreads in a circular pattern whose radius increases at a rate of 15 ft/min. Let A be the area of the circle and r be the radius of the circle. How fast is the area increasing when the radius is 30 feet

Answers

Answer:

[tex]2827.4 \dfrac{ft}{s}[/tex]

Step-by-step explanation:

[tex] A = \pi r^2 [/tex]

[tex] \dfrac{dA}{dt} = 2 \pi r \dfrac{dr}{dt} [/tex]

[tex] \dfrac{dA}{dt} = 2 \times \pi \times 30~ft \times 15 \dfrac{ft}{s} [/tex]

[tex] \dfrac{dA}{dt} = 2827.4 \dfrac{ft}{s} [/tex]

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