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Leya [2.2K]
3 years ago
13

A. Use the Pythagorean theorem to calculate the length of segment AC. Show your work for credit.

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0

alright so first ur trying to find adjacent so use cos which is adjacent/hypotenuse you know the angle of c is 90 because it is a right angle

so it gonna be

cos(90)= AC/5

5*cos(90)= AC

5*0=AC

side AC = 0

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The ratio of a model building's dimensions to the building's actual dimensions is 1/52. If the height of the model is 15 inches,
g100num [7]
Set this up as a proportion with the model stuff on top and actual building stuff on bottom.  \frac{1}{52} = \frac{15}{x}.  Cross multiply to get x = 780.  The actual building is 780 inches.  In feet that is 65.
4 0
3 years ago
Solve the system of equations for x and y.<br> y = x + 5<br> y = 2x + 2
DIA [1.3K]
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
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3
,
−
2
)
3 0
2 years ago
Alex sold 330 candy bars, milk chocolate candy bars sold for $2 each and white chocolate candy bars sold for $3 each. Alex sold
Alinara [238K]

Answer:

<em>Alex sold 330 white chocolate bars</em>

Step-by-step explanation:

let the milk chocolate candy be x and the white chocolate candy be y. then

then 2x+3y=990----1)

x+y=330-----2)

from eq 2) ⇒ x=330-y---------3)

Putting eq 3 in eq 1

2(330-y) +3y=990

660-2y+3y=990

y=990-660=330-----------4)

Putting eq4 in eq1

2x+3(330)=990

2x+990=990

2x=990-990

2x=0

x=0---------------------------5)

4 0
3 years ago
The sum of a number and -3 is equal to -91.Find the number
larisa86 [58]
The sum of -3 and a number equal to -91 is -88
7 0
3 years ago
The perimeter of a rectangle is 26 cm. The rectangle has a length of 8 cm. What is the width of the rectangle?
zvonat [6]

Answer:

A. 2(8)+2(w)=26

B. 16+2w=26

Subtract 16 from both sides of the equation

2w=10

Divide both side by 2

The width is 5

Step-by-step explanation:

3 0
2 years ago
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