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MatroZZZ [7]
3 years ago
12

Simplify the following expression: 3/4 b - 1/4 b + (-1/4 b) =

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

\frac{3}{4} b -  \frac{1}{4} b + ( \frac{ - 1}{4} b) \\  = ( \frac{3}{4}  -  \frac{1}{4}  -  \frac{1}{4} )b \\  = ( \frac{1}{4} )b \\  =  \frac{1}{4} b

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If a tree 28 meters tall casts a shadow 32 meters long, what is the angle of elevation of the sun to the nearest degree?
avanturin [10]
Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
4 0
3 years ago
Round to the nearest tenth
yan [13]

<em>Note: I am assuming we have to determine the value of the side 'x'.</em>

Answer:

The value of x = 8.1 units

Step-by-step explanation:

<em>Note: I am assuming we have to determine the value of the side 'x'.</em>

Given

Angle Ф = 32°

To determine:

x = ?

Using the trigonometric ratio

tan Ф = opposite / adjacent

here

Ф = 32°

opposite to angle 32°  = x

adjacent to angle 32° = 13

Therefore,

substituting adjacent = 13, Ф = 32°, opposite = x in the equation

tan Ф = opposite / adjacent

\tan \left(32^{\circ \:}\right)=\frac{x}{13}

\:x\:=\:13\:\times tan\:32^{\circ }\:

x = 8.1 units      tan 32° = 0.62

Therefore, the value of x = 8.1 units      

7 0
3 years ago
Oswaldo is cooking a big dinner. He buys 301230\dfrac{1}{2}3021​30, start fraction, 1, divided by, 2, end fraction ounces of swe
AURORKA [14]

Answer:

4

Step-by-step explanation:

30 + 20 + 13 = 63, + fractions = 64. But you have to divide to get to pounds. So 64 / 16 = 4

YAY

3 0
3 years ago
Help please, pic attached will be much appreciated
Leviafan [203]

Answer:

The company should make 0 jumbo and 300 regular biscuits.

The maximum income is $42.

Step-by-step explanation:

Let's say J is the number of jumbo biscuits and R is the number of regular biscuits.

The oven can bake at most 300 biscuits.  So:

J + R ≤ 300

Each jumbo biscuit uses 2 oz of flour, and each regular biscuit uses 1 oz of flour.  There is 500 oz of flour available.  Therefore:

2J + R ≤ 500

Income from jumbo biscuits is $0.12, and income from regular biscuits is $0.14.  So the total income is:

I = 0.12J + 0.14R

Graph the two inequalities under the condition that J ≥ 0 and R ≥ 0:

desmos.com/calculator/aea00cmpwm

The region where the inequalities intersect has 4 corners:

(J, R) = (0, 0); (0, 300); (250, 0); (200, 100)

Find the income at each point:

(0, 0): I = 0

(0, 300): I = 42

(250, 0): I = 30

(200, 100): I = 38

The company makes maximum profit of $42 by baking 0 jumbo biscuits and 300 regular biscuits.

8 0
3 years ago
How is 2/3 equal 66.6? show your work!
Sholpan [36]

Answer:

2/3 is equal to 66.6% because

Step-by-step explanation:

1/3 is equal to 33.3%, and fractions with the same denominator are almost like multiples. So, if 1/3 is equal to 33.3%, we have to multiply that number by the number 2. 33.3% times two is equal to the number 66.6%, and therefore it is our answer.

3 0
3 years ago
Read 2 more answers
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