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3 years ago

I need to know the value of x in this triangle

Mathematics

1 answer:

Butoxors [25]3 years ago

3 0

Step-by-step explanation:

${x}^{2} = {2}^{2} + ( \sqrt{2 \times 6)}^{2} \\ \\ \therefore \: {x}^{2} = 4 + 12 \\ \\ \therefore \: {x}^{2} = 16 \\ \\ \huge \red{ \boxed{ x = 4}}$

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Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

<u>5% account:</u>

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

3 years ago

Consider the following incomplete deposit ticket:

boyakko [2]

Answer:

B) 105.20

Step-by-step explanation:

491.60 + 157.68 - 68.44 = 581.20

6 0

3 years ago

Read 2 more answers

Whole-wheat bread costs $2.06/lb. How much would 3.8 lb of whole-wheat bread cost?

Xelga [282]

Whole-wheat bread = $2.06/lb

We need the cost of 3.8 lbs of whole-wheat bread.

So, we simply need to multiply the cost with the amount needed.

(cost per pound) × (amount of bread)

($2.06) × (3.8)

Simplify.

$7.828

Round to the nearest tenths.

$7.83

So, 3.8 pounds of whole wheat bread costs $7.83

~Hope I helped!~

7 0

4 years ago

Read 2 more answers

Here's a graph of a linear function. Write the equation that describes that function. Express in slope-intercept form.

il63 [147K]

Y=1/3x-1. i’m not sure what point slope is but that’s slope intercept.

3 0

3 years ago

60 min is 20%of blank min

enot [183]

Answer:

20% of the number is 60.

100% of the number is therefore (100/20) x 60 = 5 x 60 = 300

Step-by-step explanation:

Explanation:

No further explanation required really!

4 0

4 years ago