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2 years ago

Need explanation and answer

Mathematics

2 answers:

Mandarinka [93]2 years ago

7 0

Answer:

$x = \sqrt{12} = 3.464$

Step-by-step explanation:

$AC=AD+DC=13\\\text{Because ABC is a right triangle then}\\AB^2=AD.AC\\\Rightarrow AB^2=1 \times 13=13\\\Rightarrow AB = \sqrt{13}\\\text{In the right triangle ABD, since Pythagoras we also have}\\AB^2=AD^2+BD^2\\\Rightarrow BD^2=AB^2-AD^2\\\Rightarrow x^2= 13 - 1=12\\\Rightarrow x = \sqrt{12} = 3.464.$

Anarel [89]2 years ago

6 0

1=22e 3663 30-4949-29238342

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LaShaundra is buying fence for two triangular sections of her garden.

mixas84 [53]

Answer: 80 feet.

Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

$sf=\frac{20ft}{4ft}\\sf=5ft$

3. Therefore, the lenght of the side DG of the trinagle DFG is:

$DG=5*AC\\DG=5*7ft\\DG=35ft$

4. The perimeter of the triangle DFG is:

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2 years ago

Jenna works in an ice cream shop. When she starts her shift the tub of chocolate ice cream is 23 full. When she finishes her shi

ipn [44]

Answer:

$Rate = 1.1/hr$

Step-by-step explanation:

Given

$Start = 23$

$End = 16$

$Hours = 6\frac{1}{2}h$

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First, we need to determine the ice cream sold

$Ice\ Cream = 23 - 16$

$Ice\ Cream = 7$

Next, we calculate the hourly rate:

$Rate = Ice\ Cream/Hours$

$Rate = 7/6\frac{1}{2}h$

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2 years ago

Read 2 more answers

Which input value produces the same output value for the two functions on the graph

Mademuasel [1]

Answer:

The input value is x=1

Step-by-step explanation:

we know that

The intersection point both graphs is the point that produces the same output value for the two functions

Observing the graph

The intersection point is (1,1)

therefore

For x=1 (input value)

The output value for the two functions is equal to 1

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2 years ago

How do you factor -x^4-5x^2+6

Gekata [30.6K]

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3 years ago

In 1986, the worst nuclear disaster occurred in Chernobyl, USSR, when an explosion at a nuclear power plant released 1000 kg of

Lostsunrise [7]

Considering the function for the remaining amount of cesium in the atmosphere, F(x) = 1000×0.5^(x/30), we have;

First part:

The area will be safe again in about 100 years time.

Second part;

The y-intercept is at the start of the measurement

Third part;

The function is a decay function

<h3>Which method can be used to evaluate the given function?</h3>

First part;

The given function for the remaining amount of cesium is presented as follows;

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Which gives;

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Second part;

The y-intercept is given by the point where x = 0

At the y-intercept, we therefore have;

$F(0) = 1000 \times {0.5}^{ \frac{0}{30} }$

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The y-intercept is therefore, at the start of the measurement, where 1000 kg. is present in the atmosphere.

Third part;

The amount of cesium remaining F (x) decreases as the time, x, increases, the function is therefore a decay function.

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1 year ago