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Taya2010 [7]
3 years ago
8

Explain how you find it

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

x = 39

Step-by-step explanation:

there is a theorem that states that the midsegment in a trapezoid is equal to the sum of the bases divided by two

so, (36 + 42)/2 = x

36 + 42 = 78

78/2 = 39

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Help. I can't do maths again​
Goshia [24]

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

\frac{x}{sin46} = \frac{20}{sin94} ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = \frac{20sin46}{sin94} ≈ 14.4 cm ( to the nearest tenth )

5 0
1 year ago
Read 2 more answers
Laura invest $300 into an account with an interest rate of 4% compounded annually. Write an exponential function to represent th
LiRa [457]

The exponential function that represents the future value of the investment is $300(1.04)^t.

<h3>What is the exponential function?</h3>

The exponential function that can be used to determine the future value of the investment is:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

$300(1.04)^t.

Where t represents number of years

To learn more about future value, please check: brainly.com/question/18760477

7 0
1 year ago
Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is 3:2
AveGali [126]

Answer:

18

Step-by-step explanation:

3:2 means 3/2 or 3÷2

but its better to leave it as

3/2

4 0
2 years ago
A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 3) and (4, 6).
Natalija [7]

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = \frac{6-3}{4-2} =\frac{3}{2}

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

5 0
2 years ago
Read 2 more answers
1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Given,

Population mean Z = 600

Sample mean, µ = 586.50

Size of the sample, n = 10

Standard deviation, σ = 26.77

The testing hypothesis is,

Null hypothesis = µ<600

Alternative hypothesis = µ≥600

The test statistics is the calculated value of Z,

(Z- µ)/(σ/√n)

= (600-586.50)/(26.77/√10)

= (13.5*3.1623)/26.77

= 42.691/26.77

= 1.5947

And at 5% level of significance, the table value of Z = 1.644

Here, calculated Z<Table value of Z, so we accept the null hypothesis.

So, the null hypothesis is accepted. The mean value of the laptop is less than 600.

3 0
3 years ago
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