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3 years ago

What is the value of b^2 when the expression is 1/2 (h) (b^1+b^2)

Mathematics

1 answer:

padilas [110]3 years ago

8 0

Step-by-step explanation:

Solve for b^2.

$\frac{1}{2} ( {b {}^{1} + {b}^{2} ) }{h} = a$

$(b {}^{1} + {b}^{2} )h = 2a$

$b {}^{1} + {b}^{2} = \frac{2a}{h}$

${b}^{2} = \frac{2a}{h} - {b}^{1}$

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Solve x^4-10x^2+9=0 <br> please and thank you

Sloan [31]

Answer:

1,3

Step-by-step explanation:

=(x^2-1)(x^2-9)=0

x=1,x=3

5 0

3 years ago

12.what is the probability that a boy and a girl chosen randsomly will be seniors?

zhenek [66]

$\frac{\textbf{1}}{\textbf{20}}$

Step-by-step explanation:

Probability= $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

Probability for a randomly chosen girl to be senior= $\frac{\text{number of senior girls}}{\text{total number of girls}}$

Probability for a randomly chosen girl to be senior= $\frac{7}{8+11+9+7}=\frac{7}{35}=\frac{1}{5}$

Probability for a randomly chosen boy to be senior= $\frac{\text{number of senior boys}}{\text{total number of boys}}$

Probability for a randomly chosen girl to be senior= $\frac{9}{10+7+10+9}=\frac{9}{36}=\frac{1}{4}$

For two independent events,

Probability for both event 1 and event 2 to take place= $\text{probability of event 1} \times \text{probability of event 2}$

Since choosing boys and girls is independent,

Probability for both boy an girl chosen to be senior= $\text{probability for boy to be senior}\times\text{probability for girl to be senior}$

Probability for both boy and girl chosen to be senior= $\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}$

So,required probability is $\frac{1}{20}$

3 0

3 years ago

Shondra ordered 5 t-shirts for her friends and paid $54.95 for all of them. How much did each shirt cost her?

GarryVolchara [31]

$10.99 , divide 54.99 by 5 to get 10.99 for each shirt

5 0

3 years ago

Read 2 more answers

The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago

What’s the answer ??????

LekaFEV [45]

I believe x=2 because 6x=2x+8

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3 years ago