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3 years ago

Find the area of the composite shape:

Mathematics

1 answer:

Stells [14]3 years ago

5 0

Answer:

5×14×14×4=3,920 cm

Step-by-step explanation:

Multiply all numbers to find the area.

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Lacey has a 20% off coupon for Bed Bath and Beyond She wants to buy a beach towel priced at $15. If she uses her coupon what is

horsena [70]

10% of $15 = 15/10= 1.5
1.5 x 2= 3 = 20%
15-3=12
Therefore the towel will be $12 with a 20% of coupon

8 0

3 years ago

What is Something divided by something equals 140

inn [45]

Answers my vary but what i got is 140 divided by 10 = 14

4 0

3 years ago

Read 2 more answers

Wanni cycled 6 km from her house to the school at a uniform speed, v km/h. If she increased her speed

Karolina [17]

Answer:

The quadratic equation in terms of v is v² + 2 v + 180 = 0

Step-by-step explanation:

Given as :

The distance between house to the school = d = 6 km

The uniform speed = v km/h

So, Time = $\dfrac{\textrm Distance}{\textrm speed}$

or, t = $\dfrac{\textrm d}{\textrm v}$

Or, t = $\dfrac{\textrm 6}{\textrm v}$

Now, Again

The speed is increase by 2 km/h

i.e speed = (v + 2) km/h

So, Time taken = t' = (t - $\dfrac{4}{60}$ )hours

i.e t' = (t - $\dfrac{1}{15}$ )hours

Now, Time = $\dfrac{\textrm Distance}{\textrm speed}$

So, (t - $\dfrac{1}{15}$ ) = $\dfrac{\textrm d}{\textrm v}$

Or, (t - $\dfrac{1}{15}$ ) = $\dfrac{\textrm 6}{\textrm (v + 2)}$

Or , $\dfrac{\textrm 6}{\textrm v}$ - $\dfrac{1}{15}$ = $\dfrac{\textrm 6}{\textrm (v + 2)}$

Or , $\dfrac{\textrm 90 - v}{\textrm 15 v}$ = $\dfrac{\textrm 6}{\textrm v + 2}$

Or, (90 - v) × (v + 2) = 6 × 15 v

Or, 90 v - 180 - v² - 2 v = 90 v

Or, v² + 2 v + 180 = 90 v - 90 v

Or, v² + 2 v + 180 = 0

So, The quadratic equation in terms of v

v² + 2 v + 180 = 0

Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer

3 0

4 years ago

5^x + 5^x+1= 150 Find x Help me pls i need soon Tksss

raketka [301]

Answer:

$x=2$

Step-by-step explanation:

So we have the equation:

$5^x+5^{x+1}=150$

First, separate the second term:

$5^x+(5\cdot5^x)=150$

Let u equal 5ˣ. So:

$u+5u=150$

Combine like terms:

$6u=150$

Divide both sides by 6:

$u=25$

Substitute back u:

$5^x=25$

Take the base 5 logarithm of both sides:

$\log_5(5^x)=\log_5(25)$

The left cancels:

$x=\log_5(25)$

Evaluate the right:

$x=2$

So, our answer is 2.

And we're done!

5 0

3 years ago

L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r

SVETLANKA909090 [29]

Answer:

Given that:

$L(t) = 52\sin(\frac{2 \pi t}{365})+728$

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

$750= 52\sin(\frac{2 \pi t}{365})+728$

Subtract 728 from both sides we get;

$22= 52\sin(\frac{2 \pi t}{365})$

Divide both sides by 52 we get;

$0.42307692352= \sin(\frac{2 \pi t}{365})$

$\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)$

Simplify:

$\frac{2 \pi t}{365} =0.43683845$

$t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}$

Simplify:

$t \approx 25$ days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0

4 years ago

Read 2 more answers