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Setler [38]
2 years ago
12

Please answer this for me

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
4 0

\sqrt{3Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/\sqrt{2=x/26

x=26/\sqrt{2

x=13\sqrt{2

x=18.4

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In rhombus ABCD, diagonals AC and BD meet at point E. If the measure of angle DAB is 46 degrees, find the length of EB.
slamgirl [31]

Answer:

  EB ≈ 1.563 in

Step-by-step explanation:

The diagonals of a rhombus divide the figure into four congruent right triangles. Angle DAB is bisected by EA, so angle EAB is 46°/2 = 23°. EB is the side opposite, so the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(EAB) = EB/AB

  EB = (4 in)sin(23°) . . . . . . multiply by the hypotenuse

  EB ≈ 1.563 in

3 0
2 years ago
Find two integers whose sum is -12 and product is 35
Arturiano [62]

Answer:

-7 and -5

Step-by-step explanation:

-7 and -5 added together are -12, and their product is 35.

3 0
3 years ago
Which expression is equivalent to 2x2 + 7x + 4?
s2008m [1.1K]

Answer:

7x + 8

Step-by-step explanation:

2×2+7x+4

4 + 7x + 4

7x + 8

4 0
3 years ago
3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a
svlad2 [7]

Answer:

The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Step-by-step explanation:

Given

μ = Mean = 10.4 lb

σ = Standard deviation = 3 lb

Using a confidence level of 90%,

We'll need to first determine the z value that correspond with bottom 5% of consumption of banana

α = 5%

α = 0.05

So,

zα = z(0.05)

z(0.05) = -1.645 ----- From z table

Let x represent the largest annual per capita consumption of bananas

The relationship between x and z is

x = μ + zσ

By substitution;

x = 10.4 + (-1.645) * 3

x = 10.4 - 4.935

x = 5.465

Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

6 0
3 years ago
What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?
Lynna [10]

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

6 0
3 years ago
Read 2 more answers
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