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3 years ago

Choose the best option.1.(101), in base 10 is equal to:a)10b)1c)2d)5

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

Answer:5

Step-by-step explanation:(1×2^2)+(0×2^1)+(1×2^0)=

1×4+0×2+1×1=

4+1=

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

$h=-16t^2+55t+4$

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

$40=-16t^2+55t+4$

$-16t^2+55t+4-40=0$

$-16t^2+55t-36=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+55t-36=0$

$a=-16\\b=55\\c=-36$

substitute in the formula

$x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}$

$x=\frac{-55\pm\sqrt{721}} {-32}$

$x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec$

$x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec$

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0

3 years ago

Find the area of triangle ABC. Give your answer to 1 decimal place. Sine rule.

laiz [17]

Answer:

Solution,

In ∆ ABC

< A + <B + < C = 180°

or, 72 + 59 + <C = 180°

or, 131 + <C = 180°

or, <C = 180 - 131

< C = 49

Area of ∆ABC = 1/2 ab sin C

= 1/2 * 12 * 7 * sin 49

= 42 * sin 49

= 31.7 ( approximately)

Hope this helps...

Good luck on your assignment...

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2 years ago

The office worker can stamp 25 letters per minute.

sattari [20]

Answer:

125

Explanation:

25 × 5 = 125

I hope this helps

5 0

2 years ago

Read 2 more answers

Also need help for this question!! Someone please help

SVEN [57.7K]

Given profit,
p(t)=0.4t^2+5.3t-8
After the first year, t=1
p(1)=0.4*(1^2)+5.3*1-8=-2.3
Answer: the annual loss of the coffee shop after the first year (i.e. the second year) is $2,300.

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3 years ago

State whether each of the following equations represent growth or decay.

algol [13]

Answer:

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2 years ago

Choose the best option.1.(101), in base 10 is equal to:a)10b)1c)2d)5​

Choose the best option.1.(101), in base 10 is equal to:a)10b)1c)2d)5