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3 years ago

Find the area of the shape shown below.

Mathematics

2 answers:

Alex787 [66]3 years ago

8 0

Answer:

Step-by-step explanation:

neonofarm [45]3 years ago

3 0

Answer:

Step-by-step explanation:

First ignore the cut corner and pretend that it is just a rectangle.

The rectangle's area would be 2×4=8.

Then find out the cut corner's area.

The area of that triangle would be 1.

8-1=7 So the area of the shape is 7.

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At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the j

Naddika [18.5K]

Answer:

The time Don estimated for the job, in hour, is 24 hours

Step-by-step explanation:

Based on his regular hourly rate, Don had estimated :

Estimated cost (C) = $336

Estimated hour of work = $x$

So, estimated rate in hour (R) = $\frac{336}{x}$

In fact, it took him 4 hours longer than he estimated, therefore

Factual hour of work = ${x+4}$

Factual rate in hour (F) = $\frac{336}{x+4}$

He earned $2 less than his regular hourly rate, hence the factual rate (F) is the subtraction of estimated rate (R) by 2

F = R - 2

Then, substitute F and R,

$\frac{336}{x+4}$ = $\frac{336}{x} - 2$

$\frac{336}{x+4}+2$ = $\frac{336}{x}$

$x(\frac{336}{x+4}+ \frac{2(x+4)}{x+4}) = 336$

$x(336+2(x+4))$ = $336 (x+4)$

$336x+2x^{2} +8x = 336x+336*4$

since at the both sides have $336x$ , we can removed it.

$2x^{2} + 8x = 336 * 4$

devide both sides by 2, thus

$x^{2} +4x = 336 * 2$

$x^{2} +4x = 672$

Make the algebra function equal to 0 by moving the 672 to the left side.

$x^{2} +4x - 672 = 0$

factorize the function above,

the factor of 672 is 24 and 28, because if it's multiplied it becomes 672 and if it's subtracted equal to 4. since $4x$ is positive, the higher number (28) should be in positive. Therefore we conclude that

$(x+28)(x-24)$ = 0

$x+28=0, x = -28\\x-24=0, x = 24$

We takes the positive result, because the time is in positive. so, the estimated time is 24 hours

3 0

2 years ago

FACTORIZE<br>A(X)=(2+3x)(-x+7)(-2+3x)(2x+1)

frozen [14]

Answer:

That's the ans.

Step-by-step explanation:

I screentshot the ans.

5 0

2 years ago

Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline

yawa3891 [41]

Answer:

B) 4.07

Step-by-step explanation:

First we need to calculate the mean of all the data, which is the same as the mean of the means of each grade of gasoline:

Regular BelowRegular Premium SuperPremium

39.31 36.69 38.99 40.04

39.87 40.00 40.02 39.89

39.87 41.01 39.99 39.93

X1⁻=39.68 X2⁻= 39.23 X3⁻= 39.66 X4⁻= 39.95

Xgrand⁻ = (39.68+39.23+39.66+39.95)/4 = 39.63

Next we need to calculate the sum of squares within the group (SSW) and the sum of squares between the groups (SSB), and the respective degrees of freedom):

SSW = [ (39.31-39.68)² + (39.87-39.68)² + (39.87-39.68)² ] + [ (36.69-39.23)² + (40.00-39.23)² + (41.01-39.23)² ] + [ (38.99-39.66)² + (40.02-39.66)² + (39.99-39.66)² ] + [ (40.04-39.95)² + (39.89-39.95)² + (39.93-39.95)² ] = [0.2091] + [10.2129] + [0.6874] + [0.0121] = 11.12

SSW = 11.12

Degrees of freedom in this case is calculated by m(n-1), with m being the number of grades of gasoline (4) and n being the number of trial results for each one (3), so we would have 4(3-1) = 8 degrees of freedom

SSB = [ (39.68-39.63)² + (39.68-39.63)² + (39.68-39.63)²] + [ (39.23-39.63)² + (39.23-39.63)² + (39.23-39.63)² ] + [ (39.66-39.63)² + (39.66-39.63)² + (39.66-39.63)² ] + [ (39.95-39.63)² + (39.95-39.63)² +(39.95-39.63)² ] = [0.0075] + [0.48] + [0.0027] + [0.3072] = 0.7974

SSB = 0.80

For this case, the degrees of freedom are m-1, so we would have 4-1 = 3 degrees of freedom

Now we can establish the hypothesis for the test:

H0: μ1 = μ2 = μ3 = μ4

The null hypothesis states that the means of miles per gallon for each fuel are the same, indicating that the drade of gasoline does not make a difference, therefore our alternative hypothesis will be:

H1: the grade of gasoline does makes a difference

We will use the F statistic to test the hypothesis, which is calculated like follows:

F - statistic = (SSB/m-1) / (SSW/m(n-1)) = (0.80/3) / (11.12/8) = 0.19

We know that the level of significance we are using is α = 0.05, so to find the critical value F we need to look at some table of critical values for the F distribution for the 0.05 significance level (like the attached image). Then we just need to look fot the value that is located in the intersection between the degrees of freedom we have in the numerator (horizontal) and the denominator (vertical) of the statistic (3 and 8). That critical value is:

Fc = 4.07

3 0

3 years ago

NEED HELP ASAP, WILL GIVE BRAINLIEST

dmitriy555 [2]

Answer:

The answer is C. 35, 7

6 0

3 years ago

I need help so badly im cryiiinnngggg

kotykmax [81]

Step-by-step explanation:

<B is the right angle

<A is acute

<C is acute

<D is obtuse

7 0

2 years ago

Find the area of the shape shown below.​

Find the area of the shape shown below.