In ΔJKL, the measure of ∠L=90°, the measure of ∠J=9°, and KL = 49 feet. Find the length of JK to the nearest tenth of a foot.

Answer:

           h ≤ -12/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                    h-6-(-(84/10))≤0

Step by step solution :

STEP

1

:

           42

Simplify   ——

           5

Equation at the end of step

1

:

                  42

 (h - 6) -  (0 -  ——)  ≤ 0

                  5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             h - 6     (h - 6) • 5

    h - 6 =  —————  =  ———————————

               1            5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(h-6) • 5 - (-42)     5h + 12

—————————————————  =  ———————

        5                5  

Equation at the end of step

2

:

 5h + 12

 ———————  ≤ 0

    5  

STEP

3

:

3.1    Multiply both sides by  5

3.2    Divide both sides by  5  

     h+(12/5)  ≤ 0

Solve Basic Inequality :

3.3      Subtract  12/5  from both sides

           h ≤ -12/5

Inequality Plot :

3.4      Inequality plot for

        h  + 2.400  ≤  0

The value of h is less than or equal to -2.4.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

h−6 ≤−8.4

Now, add both side 6

h−6 + 6 ≤−8.4 + 6

h  ≤−2.4

Hence, the value of h is less than or equal to -2.4

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Answer:

lowest accuracy: Table of values:x=-1.5

intermediate accuracy: successive approximate: x=-1.5625

Highest accuracy: Graphing technology: x=1.543

Step-by-step explanation:

i just did this question

9514 1404 393

Answer:

  discrete

Step-by-step explanation:

"The number of (anything)" means the possible values are counting numbers. The random variable involved is necessarily discrete.

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

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Answer:

Step-by-step explanation:

so first what you want to do is split the shape in to

Draw a line down where the 2 is.

you should have a rectangle and a triangle

then you find the area of the rectangle

Rectangle:

5 x 2 = 10m^2

After than you try to find the triangles area

the bottom of the triangle is 9m but since to split it in 2 you will now have 7m

multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2

Add your two areas together and you will get 27.5m^2

Answer:

See attachment for number line

Step-by-step explanation:

Given

[tex]Ian = \frac{6}{8}[/tex]

[tex]Anna = \frac{3}{4}[/tex]

Required

Number line to represent both amounts

The interval on the number line is 16.

So, we need to calculate the position of both as thus.

[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]

[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]

So, both will be positioned on the 12th position.

The yellow dot represents Anna while the blue dot represents Ian

See attachment for their position on the number line

Answer:

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

Answer:

Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

Answer:

No.

Step-by-step explanation:

This only applies to solids like cubes and some prisms.

It does not apply to such solids are cylinders, pyramids, cones and triangular prisms.  It will apply to a prism whose cross-section is a rectangle.

Answer:

[tex]8^2[/tex] and 4 x 4 x 4

Step-by-step explanation:

4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

8 squared is also equal to 64, making it also an answer.

None of the other ones work.

Hope this helps and have a nice day!! :) :] :D

Answer:

(10^11)/3

10^6 x 10^5 = 10^11

8/5 x 5/24 = 1/3

so multiply 10^11 and 1/3 together

Answer:

17/4 or 4 1/4

Step-by-step explanation:

Substitute x = 2 into the expression x² + 1/x².

Evaluate the exponents in the expression.

Multiply 4 by 4/4 to get a common denominator of 4.

Add the numerators together.

The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

Answer:

I think it's trapezium .

Answer:

96m

Step-by-step explanation:

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

Answer:25.0

Step-by-step explanation: 5.0 times 5.0

Answer:

6.67 yards

Step-by-step explanation:

20 feet. The builder asks him to give the measurements in yards. What will be the length in yards?

Please note that:

1 foot = 0.333 yard

20 feet = x yards

Cross Multiply

1 foot × x yards = 20 feet × 0.333 yards

x yards = 20 feet × 0.333 yards/1 foot

x yards = 6.66667 yards

Approximately = 6.67 yards

Therefore, the measurements in yards is 6.67 yards.

Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Answer:

14

Step-by-step explanation:

18-18+8+6

0+14

14

hope this helped!

Answer:

Step-by-step explanation:

F = 6

P = 2

Then:

3.(6) - 9.(2) + 8 + 6

18 - 18 + 8 + 6

8 + 6

14

;D

Answer:

Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer

Step-by-step explanation:

Sample standard deviation, s = 3.2

Population standard deviation, σ = 2

Defining the Null and alternative hypothesis :

H0 : σ = 2

H1 : σ > 2

The test statistic :

Use the Relation :.

[(n - 1)*s²] ÷ σ²

[(10 - 1) * 3.2²] ÷ 2²

(9 * 10.24) ÷ 4

92.16 ÷ 4

= 23.04

We obtain the Pvalue for the distribution :

Using the Pvalue from Chisquare distribution calculator :

Pvalue(Chisquare score, df)

df = n - 1 = 10 - 1 = 9

Pvalue(23.04, 9) = 0.006107

Decision :

If Pvalue is < α ; Reject H0 ; α = 0.05

0.006107 < 0.05 ; We reject H0

Answer:

A)

1.75w−1=8

Step-by-step explanation:

Answer:

box and whisker

Step-by-step explanation:

Answer:

d=−1

Step-by-step explanation:

−3(d−2)−4=5

Step 1: Simplify both sides of the equation.

−3(d−2)−4=5

(−3)(d)+(−3)(−2)+−4=5(Distribute)

−3d+6+−4=5

(−3d)+(6+−4)=5(Combine Like Terms)

−3d+2=5

−3d+2=5

Step 2: Subtract 2 from both sides.

−3d+2−2=5−2

−3d=3

Step 3: Divide both sides by -3.

−3d

−3

=

3

−3

d=−1

[tex]-3(d+(-2))+(-4)=5[/tex]

[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]

Answer:

X=4

Step-by-step explanation:

Answer and Step-by-step explanation:

To get x, we need to put everything on the right. We start off by multiplying each side by 3.

3 × [tex](\frac{7+2x}{3} ) =[/tex] 5 × 3

7 + 2x = 15

Now, we subtract 7 from each side.

(7 + 2x) - 7 = 15 - 7

2x = 8

Finally, we divide each side by 2.

2x ÷ 2 = 8 ÷ 2

x = 4

The answer to this equation is x = 4.

I hope this helps!

A thanks and 5 stars + brainliests are appreciated, but I help to help!

#teamtrees #PAW (Plant And Water)

Answer:

with no question asked the answer could be anyone of the options

Step-by-step explanation:

Answer:

y = -2x + 2

Step-by-step explanation:

8 + 4/ -6

= -2

y = -2x + b

8 = -2(-3) + b

8 = 6 + b

2 = b

check work

-4 = -2(3) + 2

-4 = -6 + 2

-4 = -4

it is correct