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3 years ago

A rectangular shaped pond is 16 meters long and 14 meters wide. The dimensions of a rectangular shaped lake nearby is 350%

Mathematics

1 answer:

aalyn [17]3 years ago

4 0

Answer: 56 meters long and 49 meters wide

Step-by-step explanation:

Convert 350% to a decimal. 350% is 3.5. Each lenth is 3.5x larger than the original pond.

16*(3.5) =56 meters length

14*(3.5) = 49 meters width

56 meters long and 49 meters wide

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Step-by-step explanation:

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3 years ago

What is the sum of the measures of the interior angles of a 14-gon?

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3 years ago

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A jumper in the long-jump goes into the jump with a speed of 12 m/s at an angle of 20° above the horizontal. How far does the ju

weeeeeb [17]

Answer:

x = 9.5 m

Step-by-step explanation:

Given:

This problem is based on 2D motion kinematics equations:

$V_0 = 12 m/s$

$\theta = 20^0$

$g=9.8 m/s^2$

At maximum height:

$V_y = 0$

Components of initial velocity:

$V_0x = V_0 cos (\theta) =(12 )(cos (20^0)) = 11.3 m/s$

$V_0x = V_0 sin (\theta) = (12)(sin (20^0)) = 4.10 m/s$

To find time to reach maximum height:

$V_y = V_0y -gt$

Plugging in the known values:

0 = 4.10 - 9.8t

$t = \frac{-4.10}{-9.8}$

$t = 0.418 s$

Total time = 2t = 2(0.418) = 0.836 s

to find horizontal distance covered:

$x = (V_0x)(t)\\x = (11.3)(0.836)\\x = 9.5 m$

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3 years ago

The original price of a marker is $5.00 What will the new price be after a<br> 15% increase ? *

masya89 [10]

Answer:

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Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

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3 years ago

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Use the formula for compound amount:$14,800 at 6% compounded semiannually for 4 years

GalinKa [24]

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating compound amount

$A=P(1+\frac{r}{n})^{nt}$

where

A = final compounded amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

STEP 2: Write the given data

Semiannually means that n will be 2

$P=14,800,r=\frac{6}{100}=0.06,n=2,t=4$

STEP 3: Calculate the compound amount

$\begin{gathered} A=14800(1+\frac{0.06}{2})^{2\times4}\Rightarrow A=14800(1+0.03)^{2\times4} \\ A=14800(1.03)^8 \\ A=14800\times1.266770081 \\ A=\text{\$}18,748.1972 \end{gathered}$

Hence, the compounded amount after 4 years is $18,748.1972

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1 year ago