2. The bases of the trapezisid (x-14) cm and (x+2) cm ats medien is 30 cm long, how long is the shorter base​

Answers

Answer 1

Answer:

22cm

Step-by-step explanation:

Formula:

MEDIAN = 1/2(B1+B2)

Solution:

30= 1/2[(x-14)+(x+2)]

x = 36 cm

B1= 36-14 = 22 cm (shorter base)

B2= 36+2 = 38 cm (longer base)

The Shorter Base is 22cm.


Related Questions

need help with my aleks

Answers

Answer:

x = 66

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + 35 + 79 = 180 , that is

x + 114 = 180 ( subtract 114 from both sides )

x = 66

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Answers

Answer:

31 degrees

Step-by-step explanation:

90-59

=31

~rere

Answer:

<b = 31 °

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles

So . .

Because the sum is 90 subtract!

90 - 59 = 31

<b = 31 °

he density of gold is 19.3 g/cm3. What is the volume of a 13 g gold nugget? (Density: D = )

.25 cm3
.67 cm3
1.48 cm3
2.50 cm3

Answers

D=19.3g/cm3
m =13
D= m/v
V=m/D
=13/19.3
=0.67cm3
Answer is No 2

Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.

Nurses need to calculate the drip rate, D, in drops per minute for infusions.

They use the formula D =dv/60n where

d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.

A nurse wants to double the time an infusion runs for.

Describe precisely how D changes if n is doubled but d and v do not change.

Answers

Answer:

D is halved

Step-by-step explanation:

Given :

D = -dv/60n

If n is doubled :

D' = -dv/60(2n)D' = -dv/120nD' = D/2

When n is doubled, D (the drop factor) is half of its original value.

x^2 +8 x+ y^2-12 y =14 what is the center and radius

Answers

Answer:

Step-by-step explanation:

Graph the image of rectangle CDEF after a translation 2 units right and 10 units down.

Answers

Answer:

Graph these points:

(-6, -6)

(0, -6)

(0, -1)

(-6, -1)

Vera needs repairs on her car. The mechanic’s estimate says that he will provide 7.3 hours of labor. His rate is $55 per hour. The total cost of the labor will be

Answers

Answer:

total cost = given hours × rate per hour

Answer:

401.5

Step-by-step explanation:

Find the missing values. Leave answers in simplified radical form.

Answers

Answer:

See below ~

Step-by-step explanation:

Q3

r = 8 / sin 45°r = 8 / (1/√2)r = 8√2

t  = 8 / tan 45°t = 8 / 1t = 8

Q4

f = 9√3 / sin 60°f = 9√3 / (√3/2)f = 18

o = 9√3 / tan 60°o = 9√3 / √3o = 9

#3

tan45=8/t1=8/tt=8

Simiilary

cos45=8/rr=8√2

#4

sin60=9√3/f√3/2=9√3/f1/2=9/ff=18

And

cos60=0/181/2=0/18o=18/2=9

Write the equation of the conic section shown below.

Answers

Answer:

f(x) = -5/81( x^2 -2x - 80)  

Step-by-step explanation:

The zeroes are -8 and 10 so we can write :

f(x) = -a(x - 10)(x + 8)  

( negative is because the parabola opens downwards).

The maximum value is at the vertex = 5.

f(x) = -a(x^2 - 2x - 80)

       =  a[(x - 1)^2 - 1 - 80)

        = a(x - 1)^2 - 81a

As the vertex is at f(x) = 5

81a = 5 so a = 5/81

So the equation is

f(x) = -5/81( x^2 -2x - 80)    

   

Find the slope, if it exists, of the line containing the pair of points (1, -2) and (1, - 4).​

Answers

Answer:

no answer

Step-by-step explanation:

1, -2 ; 1, -4 : -4-2/1-1 = no solution

can someone please help me this this??

Answers

Answers:

bio = 258

sociology = 169

============================================================

Work Shown:

x = number of bio textbooks

y = number of sociology textbooks

x+y = 427 books sold total

y = x-89 since 89 less sociology textbooks were sold compared to bio

Apply substitution to get the following

x+y = 427

x+x-89 = 427 ... replace y with x-89

2x-89 = 427

2x = 427+89

2x = 516

x = 516/2

x = 258 bio textbooks were sold

y = x-89

y = 258-89

y = 169 sociology textbooks were sold

Help with functions!! Thank you!!

Answers

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16

what is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 Round to the nearest place​

Answers

it would be 3.14(pie) x 9^2 (radius) x 8 (height) and that would = 2034.72 and rounded 2034.7

Graph x = 4 help please!!! :(

Answers

Answer:

x = 4 would be a vertical line along with the value x=4

Step-by-step explanation:

The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.

A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.

What is the height of the prism?


2.9 m

6.525 m

11.23 m

21.83 m

Answers

16.53/3.8x1.5
Answer. 2.9

Simplify 22-2(12/4+2*3)/3+7

Answers

Answer: 23

Step-by-step explanation:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:  2+2=4 .

Help pretty please?.?.?? Prize is 20 points :)

Answers

Answer:

7

Step-by-step explanation:

Because 2x-4 equals -8

1.4
Arrange the number of voters in 2016 - election
per province in ascending order.
5
Calculate the percentage of votes in the 2016-election that went
to "Other" in the National Results, if the total number of voters was
26 660 276.

Answers

Answer:

that would be 57

Step-by-step explanation:

because im smart

PLEASE ANSWER

Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA

Answers

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

What are similar triangles?

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

Find out more on similar triangles at: https://brainly.com/question/2644832

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The system has ___________ solution(s). y = 2x + 6 4y = 8x + 24

Answers

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?

Answers

You need to multiply 18*3 to get the number of balls needed. Then you have to divide the answer with 8 to get the amount of boxes needed.
18x3= 24
24x8= this will give you your answer

which equation represents a line that passed through (2,-1:2) and has a sloe of 3

Answers

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

How to determine the equation of the line?

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

Read more about linear equations at:

https://brainly.com/question/1884491

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You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.


H
o
:
μ
=
57.7


H
a
:
μ

57.7


You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
286
with mean
M
=
59.6
and a standard deviation of
S
D
=
7.7
.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =


What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answers

Using the t-distribution, it is found that the desired measures are given as follows:

The test statistic is t = 4.17.The p-value is of 0.0004.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 57.7, that is:

[tex]H_0: \mu = 57.7[/tex]

At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:

[tex]H_a: \mu \neq 57.7[/tex]

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given as follows:

[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]

t = 4.17.

What is the p-value?

We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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Complete the long division problem on your own sheet of paper. Then, fill in the digits.

Answers

here’s the answer! 8 divided by 416 is 52

Answer:

52

Step-by-step explanation:

5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0

(PLS HELP AND FAST!!!!) 1. A single, standerd number cube is tossed. What is the probality of getting a number GREATER then 3? A. 2/3 B. 1/3 C. 1/6 D. 1/2.

WILL GIVE 100 POINTS IF CORRECT!!! ):D

Answers

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

“Explain why you can have different values when evaluating an algebraic expression”

Answers

Porque Las expresiones algebraicas son combinaciones de variables , números, y por lo menos una operación aritmética.Para evaluar una expresión algebraica, reemplace la variable o variables con valores conocidos y luego utilice el orden de las operaciones .

Para su conveniencia, puede usar paréntesis cuando introduzca valores negativos en las variables.

ENGLISH:

Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.

To evaluate an algebraic expression, replace the variable(s) with known values ​​and then use the order of operations.

For your convenience, you can use parentheses when entering negative values ​​in variables.

10)
Ross has (8x-5) tickets for Chuck E Cheese. He is going to play today and wants to buy
a prize that is (15x+1) tickets. How many tickets must be win to have enough tickets to buy the
prize?

Answers

Answer:

(7x + 6) tickets

Step-by-step explanation:

Tickets Ross has : 8x - 5

Tickets Ross needs : 15x + 1

To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.

15x + 1 - (8x - 5)15x + 1 - 8x + 5(7x + 6) tickets

Must ticket win

Prize-Previous amount15x+1-(8x-5)15x+1-8x+515x-8x+1+57x+6 tickets

- 16 + ( - 12 ) - ( - 40 )

Answers

Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

Urgent help,

Translate the following words into equations step 2 solve the equation.

8 more than a number is equal to 15

The product of 7 and a number is 35

Answers

Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

* Given the following expressions:

I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]

Answers

Answer:

sorrry i forget you man ..... or bro .....

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