Please show work. The way that you solve for surface area and vol confuse me.

Mathematics

1 answer:

user100 [1]2 years ago

4 0

Answer:

search up the formula

Step-by-step explanation:

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Find value of x, show your work

Zina [86]

Here is your answer

$\huge x=\frac{35}{2}cm= 17.5cm$

REASON :
AB//CD

So,

/_A=/_D ... (alternate int. angles)

/_B=/_C ... (alt. int. angles)

So,

Tri.ABE~Tri.DCE... (by AA similarity)

Therefore,

Corresponding sides are proportional

i.e.

$\frac{AE}{DE}=\frac{AB}{DC}$

$\frac{5}{x}=\frac{4}{14}$

$x=\frac{5×14}{4}$

$x=\frac{5×7}{2}$

$x=\frac{35}{2}$

HOPE IT IS USEFUL

5 0

2 years ago

7 pounds of steak cost $10.08. What is the price per ounce

Alexandra [31]

Answer:

1.44

Step-by-step explanation:

You are trying to find what's the price per ounce which is the unit rate to find that out you.You first make a fraction then if it's money put it in the numerator ALWAYS and the 7 in the donomenater then make another fraction put 1 in the donomenater since you are trying to find the unit rate then you think 7 divided by what equals 1 and the answer is 7 because 7 divided by 7 equals 1 so now you know what to divide to 10.08 it's 7 so 10.08 divided by 7 equals 1.44.So the price per ounce is $1.44

6 0

2 years ago

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$