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2 years ago

Solve using the correct order of operation 5x(11 x 9 + 7squared) + 4

Mathematics

1 answer:

laila [671]2 years ago

6 0

Answer:

i love you :)

Step-by-step explanation:

5 × ( 99 + 7² ) + 4

5 × ( 148 ) + 4

740 + 4

744

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

Sara is cutting bows out of ribbon which

Andrei [34K]

She can make at least 1 because if u multiple 1/4 and 5 it will give u a decimal as 1.25 or 5/4, or 1

3 0

3 years ago

Read 2 more answers

Solve each of the following equations. Show its solution set on the number line. |3x-4(x+1)|=2

Colt1911 [192]

Answer:

x= -6, -2

Step-by-step explanation:

4 0

2 years ago

-3/10 + 4/15 Solve the above problem

Firlakuza [10]

Answer:

-1/30

Step-by-step explanation:

find the lcm of 10 and 15

then solve it

3 0

2 years ago

The scale of this map is 1 inch = 50 miles. The ruler measures the distance between Gary, Indiana, and Traverse City, Michigan,

levacccp [35]

Answer:

150 miles

Step-by-step explanation:

Given the scale on the map using the conversion factor

1 inch = 50 miles

We are to find the equivalent miles between the cities in miles if the distace is 3inches

3inches = x

Divide both expressions

1/3 = 50/x

Cross multiply

x = 3 * 50

x = 150

Hence the actual distance between these two cities in miles is 150 miles

6 0

2 years ago