The diagonal of an isosceles trapezoid with angle to the base is equal to 30. Find the length of the height of the trapezoid if it is known that the midline of this trapezoid is equal to 8 cm.

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

Answer:

                                 pop

                                             yes                   no             total

country            yes                  11                      38              49

                        no                       43                     8                51

                         total                54                     46               100

Hope you understand this haha

The answer is in the file. Hope it helps.

Answer:

360 o /n The little o is a degree sign

.

Step-by-step explanation:

Answer:

They are both right.

Step-by-step explanation:

You can make a groups of 3 with 7 people and a groups of 7 with 3 people

                           SORRY IF THIS ISN'T RIGHT

Answer:

16\(\sqrt{5}\)+4\(\sqrt{15}\) or 51.26902

Step-by-step explanation:

Consider one of the smaller, right-angled triangles within the main triangle, and use sine to find the hypotenuse of the small triangles:

sinA=opposite/hypotenuse

sin60=4\(\sqrt{15}\)/hypotenuse

hypotenuse=\(\frac{4\sqrt{15} }{\frac{\sqrt{3} }{2} }\)

hypotenuse=8(\(\frac{\sqrt{15} }{\sqrt{3} }\))

hypotenuse=8\(\sqrt{5}\)

So the left and right hand sides of the larger triangle are both 8\(\sqrt{5}\) respectively.

To find the base, once again consider the smaller triangle, and this time, use pythagorus:

a²=b²+c²

(8\(\sqrt{5}\))²=(4\(\sqrt{15}\))²+c²

320=240+c²

80=c²

c=4\(\sqrt{15}\)

So the perimeter is 8\(\sqrt{5}\)+8\(\sqrt{5}\)+4\(\sqrt{15}\)=16\(\sqrt{5}\)+4\(\sqrt{15}\)=51.26902

Answer:

A) y=9x

B) y=45 when x=5

Step-by-step explanation:

Part A

\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)

Part B

\(y=9(5)\\y=45\)

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

For more questions on simplified form of the expression:

https://brainly.com/question/28323654

#SPJ8

The value of x is 2 or 10 and the value of length RA is 96

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

If RA = MA

x²-4x = 8x -20

x²-4x-8x +20 = 0

x²-12x +20 = 0

x²-10x -2x +20 = 0

(x²-10x)(-2x+20) = 0

x( x -10) -2(x-10) = 0

(x-2)(x-10) = 0

x-2 = 0

or x-10 = 0

x = 2 or 10

therefore RA = x²-4

when x = 2

RA = 0

when x = 10

RA = 100-4

= 96

therefore the value of length of RA is 96

learn more about Isosceles triangle from

https://brainly.com/question/1475130

#SPJ1

9514 1404 393

Answer:

  y = 9x

Step-by-step explanation:

If you like, you can start with the proportion ...

  x/y = 0.1/0.9

Multiplying by 9y gives ...

  9x = y

The equation you want is ...

  y = 9x

Take the percent of the drivers that are uninsured and multiply by the total number of drivers

16% * 196 million

Change the percent to decimal form

.16 * 196 million

31.36 million

31.36 * 1,000,000

31,360,000

Answer:

  a13 = 20,480

Step-by-step explanation:

The first term is a1 = 5, and the common ratio is ...

  r = 10/5 = 2

The generic term is ...

  an = a1·r^(n-1)

  an = 5·2^(n-1)

Then the 13th term is ...

  a13 = 5·2^(13 -1) = 5·4094

  a13 = 20,480

Answer:

I really don't know happy

Answer:

\(\begin{array}{cc}{Status} & {Probability} & {1} & {0.0845} & {2} & {0.1127} & {3} & {0.1870} & {4} & {0.1927}& {5} & {0.4231} \ \end{array}\)

Step-by-step explanation:

Given

The above table

Required

The discrete probability distribution

The probability of each is calculated as:

\(Pr = \frac{Frequency}{Total}\)

Where:

\(Total = 2140+ 2853 + 4734 + 4880 + 10715\)

\(Total = 25322\)

So, we have:

\(P(1) = \frac{2140}{25322} = 0.0845\)

\(P(2) = \frac{2853}{25322} = 0.1127\)

\(P(3) = \frac{4734}{25322} = 0.1870\)

\(P(4) = \frac{4880}{25322} = 0.1927\)

\(P(5) = \frac{10715}{25322} = 0.4231\)

So, the discrete probability distribution is:

\(\begin{array}{cc}{Status} & {Probability} & {1} & {0.0845} & {2} & {0.1127} & {3} & {0.1870} & {4} & {0.1927}& {5} & {0.4231} \ \end{array}\)

Answer:

x = 7

Step-by-step explanation:

\(\sf \dfrac{x+1}{18}=\dfrac{4}{9}\\\\\text{\bf Multiply the entire equation by 18}\\\\18*\dfrac{(x+1)}{18}=18*\dfrac{4}{9}\\\\)

        x + 1 =  2*4

        x + 1 = 8

Subtract 1 from both sides,

        x      = 8 - 1

              x = 7

Answer:

Step-by-step explanation:

\(\sf{\dfrac{4}{9}=\dfrac{x+1}{18}}\\\\\\ \sf{9(x+1)=4(18)}\\\\\\ \sf{x+1=\dfrac{72}{9}}\\\\\\ \sf{x+1=8}\\\\\\ \sf{x=8-1}\\\\\\ \sf{x=7}\)

Answer:

There is no asymptote

Step-by-step explanation:

Asymptotes occur when you have a divide by 0 error/undefined. The graph of h(x) = 4x - 2 is a linear line, so no asymptotes are present.

Answer:

y= -2

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

Ik u prolly dont care about the explanation but ill just say it

the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560

For the test im doing the answer is C and D  yw ;D

Answer:

No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg

Answer: 70 cars.

Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.

Have a good day

Answer:

1

Step-by-step explanation:

2a-21 / b

2(4)-21/3

8-7=1

Answer:

1

Step-by-step explanation:

(FIRST THING FIRST REMEMBER PEMDAS)

First you rewrite the number sentence with the clues you got.

2 x 4 - 21 / 3

Then you do 2x4 to get 8, then you rewrite the # sentence again

8 - 21 / 3

Next you divide 21 / 3 to get 7 and rewrite the sentence again

8-7

FINALLY you subtract 8-7 to get 1

Answer:

I think false

Step-by-step explanation:

Answer:

i believe 67 its somewhat hard to tell but the line seems to be in the middle between 150 and 140

Step-by-step explanation:

since it heats up to 212 then the person lets it cool down for 10 mins the temp goes to 145 (Answer is 67)

Answer:

1/3

Step-by-step explanation:

4 fish, 1 cat,2 dogs,and 2 birds = 9

dogs or 4 legged = cats and dogs = 1+2 = 3

P(dog or 4 legged) = number of dogs or 4 legged / total

                                 =3/9

                                =1/3

Answer:

⅓

Step-by-step explanation:

Total pets:

4+1+2+2 = 9

Dog or four legged pets: 2 + 1 = 3

Probability: 3/9 = 1/3

Answer:

39 mph

26 mph

Step-by-step explanation:

distance = rate * time

20 minutes:

13 miles = rate * 20 minutes

rate = (13 miles)/(20 minutes) * (60 minutes)/(hour)

rate = 39 mph

30 minutes:

13 miles = rate * 30 minutes

rate = (13 miles)/(30 minutes) * (60 minutes)/(hour)

rate = 26 mph

Answer:

D.) 11(3) + 11(4)

Step-by-step explanation:

Before we can answer this question fully, we should solve for what the question asks for.

11 x 7 = 77.

With this being done, let's look at each of these problems. In all of the problems, it seems that this question broke down the 7 into 3 + 4.

___________________________

A.) This answer is incorrect, because 3 x 4 does not equal 7, it equals 12. We are not multiplying the breakdown of 7 together, we are adding them. Also, (11 x 1) + (3 x 4) = 33.

B.) This answer is wrong, because once again we are not multiplying 3 x 4, we are adding it. Also, 11 x (3 x 4) = 132.

C.) This answer is also incorrect, because this is the same problem from earlier in the question. All they did was switch the 11 and 7. (Important:) Also, this is not using the distributive property. When using the distributive property, you need to break down a number and give it to other numbers, as shown in letter D.). This equation may equal 77, nut it is still incorrect.

D.) This answer is correct, because it shows the proper breakdown of 7. Even though the breakdown of 7 is being multiplied, it is still broken up and given to other numbers to use. Also, there is an addition symbol between the two numbers, which also proves correct. Solving it we get 11(3) + 11(4) = 77.

__________________________

I hope that this helps.

Answer:

w=36

f=12

k=13

Step-by-step explanation:

Answer:

Answer: 1,176

Step-by-step explanation:

The Simplification of the algebraic expression gives:

a. -2/3x² - (4/15)xy +  (11/4)y²

b. -(12/7)x³ + (20/9)y

Simplification of an algebraic expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression

a. (1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²

To simplify this, add or subtract like terms. That is:

(1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²

     = (1/3)x² - 3x² - (2/5)xy + (2/15)xy + 2y²  + (3/4)y²

     = -2/3x² - (4/15)xy +  (11/4)y²

b. (2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y

To simplify this, add or subtract like terms. That is:

(2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y = (2/7)x³- 2x³ - (1/3)y + 2y + (5/9)y

                                                    = -(12/7)x³ + (20/9)y

Learn more about algebraic expression on:

brainly.com/question/4344214

#SPJ1