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3 years ago

Answer math question/show work

Mathematics

1 answer:

Stells [14]3 years ago

4 0

$10+\{[11+(5+4)*7]:9\}=10+\{[11+9*7]:9\}=10+\{[11+63]:9\}=10+74:9=10+8\frac{2}{9}=18\frac{2}{9}$

:)

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I need to find measure of angle "u" m

garik1379 [7]

Answer:

30°

Step-by-step explanation:

TW UV

If an ARC subtends an angle in the circle (on the opposite side of the circumference), the measure of that angle will be HALF of the Arc. In other words, the Arc's measure will be DOUBLE of that angle.

The measure of the angle would be SAME if the angle subtended in the center of the circle, thought.

Now, looking at the image, we can see that:

Arc TW subtends Angle V and Angle U

*on the opposite side of the circumference*

So,

Angle V (measure given to be 30) is HALF of Arc TW, so

Arc TW = 2 * 30 = 60

So, Angle U is half of Arc TW

60/2 = 30

Hence,

7 0

3 years ago

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

Nataly [62]

Answer:

The distance between the walls is 70 m.

Step-by-step explanation:

Given: A source of laser light is at point A on the ground between two parallel walls BE and CD . The walls are perpendicular to the ground that is

BE ⊥ ED and CD ⊥ ED

AB is a ray of light which strikes the wall on the left at point B which is 30 meters above the ground. that is BE = 30 m

AC is a ray of light which strikes the wall on the right at point C. The length of AC = 80 meters.

The ray AB makes an angle of 45 degrees with the ground that is m∠BAE = 45°

The ray AC makes an angle of 60 degrees with the ground that is m∠CAD = 60°

As shown is figure attached below.

WE have to find the distance between the walls that is Length of ED

Length of ED = EA + AD

Consider the Δ AEB,

Using trigonometric ratio,

$\tan\theta=\frac{perpendicular}{base}$

Here $\theta=45^{\circ}$ , perpendicular = 30 m and base we can find.

thus,

$\tan 45^{\circ}=\frac{30}{EA}$

We know $\tan 45^{\circ}=1$

thus, EA = 30 m

Consider the Δ AEB,

Using trigonometric ratio,

$\cos\theta=\frac{base}{hypotenuse}$

Here $\theta=60^{\circ}$ , hypotenuse = 80 m and base we can find.

thus, $\cos 60^{\circ}=\frac{base}{80}$

We know, $\cos 60^{\circ}=\frac{1}{2}$

thus, Base = 40 m

AD = 40 m

Thus, the distance between the walls that is the length of ED = 30 + 40 = 70 m

4 0

3 years ago

5. Three times the width of a certain rectangle exceeds twice its length by two inches. Four times its length is twelve more

damaskus [11]

Answer: A

Step-by-step explanation:

L=Length W=Width

3W=2L+2

4L=2L+2W+12

2L=2W+12

Option A

Hope this helps!! :)

Please let me know if you have any question or need further explanation

4 0

3 years ago

A baker uses the expression 5.75c, where c is the number of cakes and $5.75 is the price of each cake, to determine his income.

Radda [10]

The bakers income will be $189.75

7 0

3 years ago

Read 2 more answers

Suppose that two players, R and C, write down letters of the alphabet. If both write vowels or both write consonants, then th

vladimir2022 [97]

Answer:

-0.075

Step-by-step explanation:

[Player R, Player C] cases & outcomes :-

(Vowel, Vowel) = (0,0)
(Consonant, Consonant) = (0,0)
(Vowel, Consonant) = (6,-6)
(Consonant, Vowel) = (-5,5)

Prob (R chooses consonant) = 75% = 0.75
Prob (R chooses vowel) = 1 - 0.75 = 0.25
Prob (C chooses vowel) = 30% = 0.30
Prob (C chooses consonant) = 1 - 0.30 = 0.70

Average Loss of R = Expected value of : he choses consonant & C choses vowel; he chooses vowel & C choses consonant

= (0.75)(0.30)(-5) + (0.25)(0.70)(6)

-1.125 + 1.05

= -0.075

5 0

3 years ago