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LekaFEV [45]
2 years ago
5

A map of California has a scale factor of 1 inch = 16 miles. The distance on the map from Riverside to Chula Vista is 3.5 inches

. How far are the two cities in real life?
Mathematics
1 answer:
kvasek [131]2 years ago
7 0

Answer:

56 miles

Step-by-step explanation:

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B/3 + 1/7=13 can someone tell me what b is , thanks :))
nikklg [1K]
B is 4 thats what i got
4 0
2 years ago
To the nearest hundredth, what is the value of x? <br> 36.08<br> 41.51<br> 47.81<br> 72.88
Crazy boy [7]

Answer:

B

Step-by-step explanation:

Using the law of sines, we can make a proportion.

But first, we'll need to solve for the unknown angle.

We add up the two known angles and subtract that by 180.

90 + 41 = 131

180 - 131 = 49

So the unknown angles is 49.

Then, we can use the law of sines.

Make the equation.

sin(90)/55 = sin(49)/x

Simplify this using a calculator and you get around 41.51 or option B.

5 0
2 years ago
Which situation can be represented by the equation 4d + 5 = 29?
lys-0071 [83]

Answer:

d=6

Step-by-step explanation:

subtract 5 from both sides

then simplify what you get

then divide both sides by 4

then simplify to get answer

4 0
2 years ago
Maria needs to make a total of 80 deliveries this week. So far she has completed 48 of them. What percentage of her total delive
Amiraneli [1.4K]

What I always do to solve this, is find a common factor for each number first.

Usually 4 or 5 works best. I'll use 4.

4 goes into 80 20 times, which means that 4 = 5%  of 80.

If 4 = 5%, and 48 = 12 x 4,    then 48 must equal 60% of 80.

(Another way to solve this problem is:  simplify 48 / 80.  This simplifies to 3/5.

3/5 = 60%)!

4 0
3 years ago
A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
Reika [66]

Answer:

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

Step-by-step explanation:

From the given information;

Let a be the cost of the box

Let b  be one side of the square base ;    &

h to be the height  of the box

We know that the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

The base = (0.65)a²

The top = (0.2)a²

The side = (0.2) a × 25/a²

= 5/a

For the four sides of the box now ;

= (0.2) 4a × 25/a²

= 0.8  × 25/a

= 20 /a

The total cost of the box is:

b = 0.65a² + 0.2a² + 20 /a

b = 0.85 a² + 20 /a

Taking differential of b with respect to a ;we have:

db/da = 1.7a - 1/a²(20) = 0

1.7 a³ - 20 = 0

1.7 a³  = 20

a³ = 20/1.7

a³ = 11.77

a = \sqrt[3]{11.77}

a = 2.274 ft

Thus; the cost for the base of the box = (0.65)a²

the cost for the base of the box =(0.65) × ( 2.274)²

the cost for the base of the box = 3.362

The top of the box = (0.2)a²

The top of the box = (0.2)× ( 2.274)²

The top of the box = 1.034

The four sides of the box = 20 /a

The four sides of the box = 20/2.274

The four sides of the box = 8.795

the total cost = b = 0.85 a² + 20 /a

the total cost = 0.85 (2.274)² + 20 /2.274

the total cost = 4.395 + 8.795

the total cost = 13.19

Recall that:

the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

h = 10/ 2.274²

h  1.934

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

7 0
3 years ago
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