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2 years ago

Please answer, Thank you. Image below.

Mathematics

1 answer:

Bezzdna [24]2 years ago

8 0

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

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Which expression is equal to

Andreyy89

Please fix the equation in the second part. Is it + or -.

4 0

3 years ago

Read 2 more answers

It is known triangles abc is congruent to def . If AB=5 and BC=10, AC=8 and DF=2x-6 solve for x.

Pepsi [2]

So df = 8 so then 2x-6=8 which means that x is 7

5 0

3 years ago

Swimming speed of salmon. The graph is showed below shows the influence of the temperature T on the maximum sustainable swimming

Doss [256]

Answer:

Here we have the relation between the speed of the salmon and the temperature.

a) the relation dS/dT tell us how the speed of the salmon changes as the temperature changes, and the units should be (if speed is m/s and temperature is in °C )

[dS/dT ] = [m/s*°C ].

b) I can not do a draw of the figure, but i can give a aproximation.

For T = 18°C, we can see that we are around the maximum of the curve, this means that around this point we will find the zero in the first derivate.

then S'(18) ≈ 0 m/s*°C

this means that around this point the changes are small.

for T = 10°C

Around this region, we can see almost a linear behavior.

so we can take a range of +-2°C

S(12°C) = 25m/s

S(8°C) = 20m/s

then the slope can be obtained using the relation:

S = (Y2 - Y1)/(X2 - X1) where this is the slope for the line that goes trough the pairs. (X1, Y1) and (X2, Y2)

S = (25 - 20)/(12 - 8) = 5/4

then we have that S´(10°C) ≈ 5/4 m/s*°C

Those two results are approximations, you may find better approximations by doing this with a ruler and drawing the tangents.

5 0

3 years ago

Given that f(x)=x2+2x +3 and g(x)=X+4/3, solve for f(g(x)) when X=2

wlad13 [49]

G(2) = 2 + 4/3 = 10/3

f(g(x)) = f(g(2)) = (10/3)^2 + 20/3 + 3 = 187/9 = 20 7/9 answer

5 0

3 years ago

Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation

Leto [7]

Answer:

There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, so $\mu = 47.88, \sigma = 3.09$