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3 years ago

I need the smaller and larger angle

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

6 0

Answer:

x=11

Step-by-step explanation:

(4x)+(3x+13)=90

if you look at the beam, it includes a 90 degree angle.

7x+13=90

distributive property

7x=77

subtracted both sides by 13

x=11

divided both sides by 7 to isolate x

4(11) 3(11)+13

44 33+13

4(x) is the larger angle

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How many decimal places are in product of 0.0087 and 23? Expian.

soldier1979 [14.2K]

4 spaces because those numbers multiplied is 0.2001

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3 years ago

HELP! WILL GIVE BRAINLIEST!! EASY! GIVE LONG DETAILED ANSWER!

OLEGan [10]

Answer:

x² + 2x + y² + 4y = 20

(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20

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Therefore, the center is (-2, -4) and the radius is √25 = 5.

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3 years ago

n a survey of 331 customers, 66 say that service is poor. You select two customers without replacement to get more information o

yaroslaw [1]

Answer:

3.93% probability that both say service is poor

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The customers are chosen without replacement, and the order in which they are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

What is the probability that both say service is poor?

Desired outcomes:

Two saying it is poor, from a set of 66. So

$D = C_{66,2} = \frac{66!}{2!(66-2)!} = 2145$

Total outcomes:

Two customers from a set of 331. So

$T = C_{331,2} = \frac{331!}{2!(331-2)!} = 54615$

Probability:

$p = \frac{D}{T} = \frac{2145}{54615} = 0.0393$

3.93% probability that both say service is poor

4 0

3 years ago

What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1

Ratling [72]

Answer:

$\sqrt3$

Step-by-step explanation:

To find:

The value of $tan60^\circ$ = ?

Solution:

Kindly consider the equilateral $\triangle ABC$ as attached in the answer area.

Let the side of triangle = $a$ units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = $\frac{a}{2}$

Using Pythagorean Theorem in $\triangle ABD$ :

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

Side AD = $\frac{\sqrt3}{2}a$

Using Trigonometric ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanB = \dfrac{AD}{BD}$

Putting the values of AD and BD:

$tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}$

5 0

2 years ago

Read 2 more answers

What is the approximate volume of a cylinder with a diameter of 14 meters and a height of 10 meters? Use 3.14 for pi.

WITCHER [35]

V = πr2<span>h

V = 3.14 x 7 x 7 x 10</span><span>

V = </span>1538.6 cubic meters.

Hope i become the brainliest.

5 0

3 years ago