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3 years ago

Find the length of the third side of the right triangle The length of the third side is?

Mathematics

2 answers:

natulia [17]3 years ago

7 0

Answer:

blurry

Step-by-step explanation:

noob

shepuryov [24]3 years ago

5 0

Answer:

Step-by-step explanation:

by pythagoras’ theorem:

a^2 + b^2 = c^2

5^2 + b^2 = 13^2

b^2 = 144

b = 12

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An architect is constructing a model building by using a ratio os 1:300. If the height of the scale model is 3 1/2 inches what i

atroni [7]

$\bf \cfrac{model}{actual}\qquad 1:300\qquad \cfrac{1}{300}\qquad \qquad \cfrac{3\frac{1}{2}}{a}=\cfrac{1}{300}\implies \cfrac{\frac{3\cdot 2+1}{2}}{a}=\cfrac{1}{300}
\\\\\\
\cfrac{\quad \frac{7}{2}\quad }{a}=\cfrac{1}{300}\implies \cfrac{\quad \frac{7}{2}\cdot 300\quad }{1}=a\implies 1050=a$

7 0

3 years ago

Choose all numbers divisible by 2

Ivahew [28]

Answer:

all real numbers

Step-by-step explanation:

5 0

3 years ago

A home security company plans to open a calling center to respond to customer calls and

Romashka-Z-Leto [24]

Answer:

$x+y\geqslant 12$

$x+2y\leqslant 20$

Step-by-step explanation:

Inequalities

The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is

Area=49x+80y

Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be

Operators=1x+2y=x+2y

The number of cubicles is

# cubicles=x+y

The conditions of the problem state that

$x+y\geqslant 12$

$x+2y\leqslant 20$

7 0

3 years ago

Math Algebra 1 Honors Unit 4 that's what it is

dezoksy [38]

Answer:

Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.

4 0

2 years ago

50 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP

Tresset [83]

Answer:

4a ) Difference ⇒ $ 63.24,

4b ) 4 children

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

Solution; Difference ⇒ $ 63.24

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

Solution; 4 children

7 0

2 years ago