Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in. Show your work

Answer:

1 2 3 4 5 6 7 8 9 10 bars are there

Step-by-step explanation:

the solution are

x = 1 or x = -15

x^2 + 14x - 15 =0

x^2 + 14x = 15

to write the left hand side as a perfect square we add 49 to both sides :

x^2 + 14x + 49 = 15 + 49

x^2 + 2.x.7 + 7^2 = 64

using the identity (a^2 + b^2) = a^2 + 2ab + b^2

(x + 7)^2 = 64

x + 7 = √64 or x + 7 = -√64

x = 8 - 7 or x = - 8 - 7

= 1 = - 15

Answer:

Number of permutations for a 4 digit number using the digits 0 – 9 (10 available digits in total), supposing numbers cannot be repeated, is calculated by:

10P4 = 10!/(10-4)! = 5040

Hope this helps!

:)

Answer:

-3 !!!!!

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

just did the test on edg

Answer:

13

Step-by-step explanation:

Find the scale factor by 39 / 30

Take that times 10

1.3 x 10 = 13

Since the questions states these two shapes are "similar" the side will have identical scale factors.

Divide the longest side of the bigger shape to the smaller shape.

39 / 30 = 1.3

The scale factor is 1.3.

Now, multiply the shortest side if the smaller shape by the scale factor.

10 * 1.3 = 13

Therefore, the length of w is 13mm

Best of Luck!

Answer:

x=  -1/2y+2

Step-by-step explanation:

Let's solve for x.

12x+6y=24

Step 1: Add -6y to both sides.

12x+6y+−6y=24+−6y

12x=−6y+24

Step 2: Divide both sides by 12.

12x

12

=

−6y+24

12

x=

−1

2

y+2

Answer: x=  -1/2y+2

Hope this helps.

Answer:

x=2−y/2

Step-by-step explanation:

Answer:

4 61/90

Step-by-step explanation:

6 - 2 = 4

9 / 10 - 2 / 9 = 61 / 90

Answer:

0.10 + 0.10 + 0.10 + 0.10 + 0.10 equal to 5 dimes or a half of dollar.

Step-by-step explanation:

0.10 + 0.10 + 0.10 + 0.10 + 0.10 = 0.50 (half of a dollar)

Answer:

36352.0

Step-by-step explanation:

For 256x142 = 36352.0

There is none actually

Answer:

14 bags

Step-by-step explanation:

Dimension of lawn : 230 feet by 180 feet

area of rectangle is given by length * width

Since lawn is rectangular area of lawn = 230 feet * 180 feet = 41,400 sq. feet

Given that one bag of fertilizer covers 3000 square feet of lawn.

Thus , to find no. of bags required to cover whole lawn will be

total area of lawn/area which one bag of  fertilizer covers

no. of bags required to cover whole lawn = 41,400 sq. feet/3000 sq. feet

    = 13.8 bags.

As no. of bags cannot be fractional , hence rounding bag to nearest unit place is 14 bags.

Answer:

c) 21.4

Step-by-step explanation:

9.5 times 1.5 times 1.5 is 21.375 or 21.4 rounded

Answer:

y=2x+19

Step-by-step explanation:

Slope: 0-19/-9.5-0=-19/-9.5=2

y-intercept: 19

Answer:

y=2x+19

Step-by-step explanation:

Answer:

2*6*3

Step-by-step explanation:

Answer:

12*sqrt(3)

Step-by-step explanation:

since it is isosceles its angles are 45, 45, 90, therefore the hypotenuse is 12*sqrt(3).

Answer:

m(slope)=-4

Step-by-step explanation:

the slope is the thing you see before x so in this case y-3=-4x+20 so the slope or m is -4.

The slope of the equation y - 3 = -4 ( x - 5 ) is -4.

Given,

y - 3 = -4 ( x - 5 )

We need to find the slope of this equation.

The equation is given by:

y - b = m ( x - a)

Where (a, b) is a point that the line passes through and m = slope.

We have,

y - 3 = -4 ( x - 5 )

Here we see that the equation is in the form of y - b = m ( x - a).

Where,

(a, b) = (5, 3)

m = -4

We have,

Slope = m

m = -4

Thus the slope of the equation y - 3 = -4 ( x - 5 ) is -4.

Learn more about how to find slope from a graph here:

https://brainly.com/question/23164168

#SPJ2

Answer:

g = number of tickets for goldfish

t = number of tickets for tacky mirrors

s = number of tickets for stuffed tiger

1g + 2t + 1s = 40

5g +     + 1s = 40

2g + 3t         = 40

using the second equatin we can find a value for s

1s = 40 -5g

now substitute in the first equation to get rid of s

1g + 2t + (40-5g) = 40

-4g + 2t         = 0

now use this new equation with equation 3 and solve for one of the values

-4g + 2t = 0

2g + 3t  = 40

multipy the second equation by 2 and then combine

-4g + 2t = 0

 4g + 6t = 80

8t = 80

t = 10  (so it takes 10 tickets to get a takcy mirror)

2g + 3(10) = 40

2g = 10

g = 5  (five tickets to get a goldfish)

s = 40 -5(5)

s = 15  (fifteen tickets for a stuffed tiger)

1(5) + 2(10) + 1(15) (substitute back in the first equation)

5 + 20 + 15

40                    it works!

Answer:

976

Step-by-step explanation:

would you stop it already

Answer: 976m^2

Step-by-step explanation:

An easy way to find the surface area of a prism is to find the area of each side and add them all together.

Area of rectangle:

14mx10m=140m^2

Area of rectangle:

25mx10=250m^2

Since there are 2 of the long rectangles, you multiply by 2:

250m^2x2=500m^2

Area of triangle:

(24mx14m)/2=168m^2

Since there are 2 triangles, you multiply by 2:

168m^2x2=336m^2

Surface Area:

140+500+336=976m^2

Answer:

n = 6

Step-by-step explanation:

See attachment for diagram

Triangle PQR is similar to triangle FGH.

Similar triangles are similar in shape but different in size.

The ratio of their corresponding sides are equal.

QP=10.5

QR=9

RP=6

GF=7

HF=4

GH=n

(Hypotenuse in ∆PQR)/ (hypothenuse in ∆FGH)

=(Adjacent in ∆PQR)/(adjacent in ∆FGH)

= 6/4 = 9/n

Cross multiply

6×n = 9×4

6n = 36

n = 36/6

n = 6

Therefore ratio of their corresponding sides = 3/2

Answer:

bar graph

Step-by-step explanation:

y axis = number of kids

X axis = types of candy bars

Answer:

3

Step-by-step explanation:

Answer:

1/6 (16.667%)

Step-by-step explanation:

there is six sides on on the dice. So there is only one side of the dice that has the number 3. 1/6 is the probability.

Answer:

  C.  795.45 in^2

Step-by-step explanation:

The formula for the surface area of a cylinder is ...

  SA = 2πr^2 +2πrh = 2πr(r +h)

For r=6 and h=15.1, the surface area is ...

  SA = 2π(6)(6 +15.1) = π(12)(21.1) = 253.2π

  SA ≈ 795.45 . . . . square inches

Answer:

$50.08

Step-by-step explanation:

Let's use x to represent the lesser expensive hat and 2x to represent the more expensive hat since the more expensive hat is twice the price.

So, our equation would be 2x + x = 75.12

We can combine them together to make 3x.

Then, we make the 3x equal to 75.12

3x = 75.12

Now, we solve it.

Divide both sides by 3 to solve for x.

75.12/3 = 25.04

x = 25.04

Lastly, plug it in for 2x to get the price of the more expensive hat.

2(25.04) = ?

2(25.04) = 50.08

Therefore, the price of the more expensive hat is $50.08

Answer:

A 7

Step-by-step explanation:

Answer:

Y = 2X + 19

Step-by-step explanation:

the relationship is linear

gradient equals 2

Answer:

1000

Step-by-step explanation:

a binomial event only has two possible outcomes

P(success) = .5

Multiply the probability of success by the number of trials

.5*2000 =1000

Answer:

Step-by-step explanation:

[tex]s=y, t = y- x^2[/tex]

[tex]x^2=y-t[/tex]

[tex]x=\sqrt{s-t}[/tex]

[tex]y=0, y=16, y=x^2, and\\ y=x^2-5.[/tex]

[tex]y-x^2=0,y-x^2=-5[/tex]

therefore,

[tex]s=[(s,t)10\leq s\leq 16,-3\leq t \leq 0][/tex]

Taking partial derivatives

[tex]\frac{dx}{ds} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dx}{dt} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dy}{ds} =1\\\\\frac{dy}{dt} =0[/tex]

[tex]\frac{\delta (x,y)}{\delta (s,t)} =\left|\begin{array}{ccc}\frac{1}{2\sqrt{s-t} } &-\frac{1}{2\sqrt{s-t} } \\1&0\end{array}\right|[/tex]

[tex]=\frac{1}{2\sqrt{s-t} }[/tex]

[tex]\int\limits \int\limits_R {x} \, dx \, dy=\int\limits\int\limits_s {x} \sqrt{s-t} |\frac{\delta(x,y)}{\delta (s,t)} |dsdt[/tex]

[tex]=\int\limits^{16}_0\int\limits^0_{-5} \sqrt{s-t} \frac{1}{2\sqrt{s-t} } dt ds[/tex]

[tex]=\frac{1}{2} \int\limits^{16}_0 ds\int\limits^0_{-5} \, dt \\\\=\frac{1}{2} [s]^{16}_0[t]^0_{-5}\\\\=\frac{1}{2} (16)(5)\\\\=40[/tex]

Answer:

a) This is a continuous random variable because the set of possible values is an interval.

b) Height = 0.5

Graph attached.

c) P(Y≤1) = 0.5

Step-by-step explanation:

a) If the density curve of the outcomes has a constant height, we have a uniform distribution for values between 0 and 2 (outside this range, the density function has a value of 0).

This function is continous and has a value for each real number. The set of possible values has a is an interval between 0 and 2, all with equal probability (the ones that are otuside this interval have 0 probability, so they are not possible values).

b) The height is calculated so that the total area under the density curve has to be equal to 1.

Then, we have to calculate the integral between 0 and 2 of the density function:

[tex]\int\limits^2_0 {U(x)} \, dx =\int\limits^2_0 {H} \, dx =H\int\limits^2_0 dx=H(x_2-x_1)=H(2-0)=1\\\\2H=1\\\\H=0.5[/tex]

The height is H=0.5

(Graph attached)

c) The probability can be calculated by integrating the density function (which is equal to the area under the curve) between 0 and 1, or using the graph.

With the graph, we see that the area is equal to the height (0.5) by the width of the interval (1), so the total area is 0.5 x 1 = 0.5.

The probability P(Y≤1) is equal to 0.5.

Using the uniform distribution, it is found that:

a)

This is a continuous random variable because the set of possible values is an interval.

b)

The height is [tex]\frac{1}{2}[/tex], and the sketch is given at the end of this answer.

c)

P(Y ≤ 1) = 0.5

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

In this problem, uniformly distributed between 0 and 2, thus [tex]a = 0, b = 2[/tex].

Item a:

Values in an interval, thus continuous. Discrete are for sample spaces, which is not the case here.

Item b:

The height is:

[tex]h = \frac{1}{b - a} = \frac{1}{2}[/tex]

The graph is sketched at the end of this answer.

Item c:

[tex]P(Y \leq 1) = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]

Thus, P(Y ≤ 1) = 0.5.

A similar problem is given at https://brainly.com/question/13547683