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3 years ago

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes ?

Mathematics

2 answers:

Karolina [17]3 years ago

5 0

80/4=20
20x7=140
7 shoes = 140

harina [27]3 years ago

4 0

Answer:

140

Step-by-step explanation:

If 4 pair cost $80 then if you divide $80 into 4 groups you get $20. Multiply $20 times 7 pairs of shoes and you get $140.

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Unit 8: Right Triangles & Trigonometry<br> Homework 2: Special Right Triangles

Vsevolod [243]

Answer:

Part 1) $x=14\sqrt{2}\ units$

Part 2) $y=14\ units$

Part 3) $z=14\sqrt{3}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ABC

we know that

The triangle ABC is a $45^o-90^o-45^o$

Is an isosceles right triangle

The legs are equal

therefore

AC=AB

$x=14\sqrt{2}\ units$

step 2

Find the length side BC

Applying the Pythagorean Theorem]

$BC^2=AB^2+AC^2$

$BC^2=(14\sqrt{2})^2+(14\sqrt{2})^2$

$BC^2=784\\BC=28\ units$

step 3

Find the value of y

In the right triangle BCD

$sin(30^o)=\frac{BD}{BC}$ ----> by SOH (opposite side divided by the hypotenuse)

$sin(30^o)=\frac{y}{28}$

Remember that

$sin(30^o)=\frac{1}{2}$

$\frac{y}{28}=\frac{1}{2}\\\\y=14\ units$

step 4

Find the value of z

In the right triangle BCD

$cos(30^o)=\frac{DC}{BC}$ ----> by CAH (adjacent side divided by the hypotenuse)

$cos(30^o)=\frac{z}{28}$

Remember that

$cos(30^o)=\frac{\sqrt{3}}{2}$

$\frac{z}{28}=\frac{\sqrt{3}}{2}\\z=14\sqrt{3}\ units$

3 0

3 years ago

Read 2 more answers

If x+y = 12 and x−y = 8, what is the value of x2+y2? (A) 20 (B) 24 (C) 100 (D) 104 (E) 208

SSSSS [86.1K]

Answer:

Step-by-step explanation:

x-y=8

x=8+y

(8+y) +y =12

2y=4

y=2

x+2=12

x=10

y=2

x=10

10+2= 12

10-2 =8

10*2=20 2*2=4

20+4=24

4 0

4 years ago

If a plant grows 1/2 inch in 3/7 of a week, how many inches per week is the plant growing?

Tomtit [17]

Answer:Assuming you want the rate per one week.

1/2 ÷ 3/7 = x / 1

(1/2)(7/3) = x

7/6 = x

1 1/6 = x

The plant grows one and one-sixth inches in a week.

Step-by-step explanation:

7 0

4 years ago

What is negative five plus negative two

Valentin [98]

-5 + -2 = -7

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

5 0

3 years ago

Read 2 more answers

A stand sells pumpkins for $5 each and squash for $3 each. One day they sold 6 more squash than pumpkins, and their sales totale

Oduvanchick [21]

The solution is in the attachment

5 0

3 years ago