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k0ka [10]
3 years ago
5

Explain how to find the orginal and the new dimensions of an object when the scale changes

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer:

To find the original dimensions, write a proportion with the scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve. To find new dimensions, write a proportion with the new scale as the first ratio and the scale dimension compared to the actual dimension as the second ratio. Use cross products to solve.

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the length of diagonal of a rectangular field is 23.7 m and one of its sides is 18.8 m. find the perimeter of the field.​
katen-ka-za [31]

Answer:

Approximately 66.4 Meters

Step-by-step explanation:

So we have a rectangle with a width of 18.8 meters and a diagonal with 23.7 meters. To find the perimeter, we need to find the length first. Since a rectangle has four right angles, we can use the Pythagorean Theorem, where the diagonal is the hypotenuse.

a^2+b^2=c^2

Plug in 18.8 for either <em>a </em>or <em>b. </em>Plug in the diagonal 23.7 for <em>c. </em>

<em />(18.8)^2+b^2=23.7^2\\b^2=23.7^2-18.8^2\\b=\sqrt{23.7^2-18.8^2} \\b\approx14.4 \text{ meters}

Therefore, the length is 14.4 meters. Now, find the perimeter:

P=2l+2w\\P=2(14.4)+2(18.8)\\P=66.4\text{ meters}

7 0
3 years ago
Liam went to the zoo with his parents and a ticket for the zoo cost's him $5.3. It costs an adult $10.70. How much would it cost
jarptica [38.1K]

Answer:

If 4 more kids came to the zoo with Liam and his two parents, and so did 4 more adults, the price they would pay would be:

5.3(5) + 10.7(6)

90.7

So, it would cost a total of $90.70 dollars for Liam, his two parents, four other friends, and four other parents, to come to the zoo.

Let me know if this helps!

5 0
2 years ago
Read 2 more answers
Identify the center and the radius of each.<br><br> x^+y^+26x-22y+281=0
inessss [21]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

x^2+y^2+26x-22y+281=0

We compare this to the general equation.

x^2+y^2+2ax+2by+c=0

where (-a,-b) is the center.

This implies that;

2a=26

\Rightarrow a=13

2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

r=\sqrt{a^2+b^2-c}

r=\sqrt{13^2+(-11)^2-281}

r=\sqrt{9}

The radius is 3

3 0
3 years ago
Help me plz!!!!!!!!!!!!!
4vir4ik [10]
22 and 27 is the answer. what else do you need??
8 0
3 years ago
Which of the following is true about a parallelogram? A. Opposite angles of a parallelogram are not congruent. B. Parallelograms
mafiozo [28]

Answer: The option is D.

Step-by-step explanation:

A line that intersects another line segment and separates it into two equal parts is called a bisector.

In a quadrangle, the line connecting two opposite corners is called a diagonal. We will show that in a parallelogram, each diagonal bisects the other diagonal.

Problem

ABCD is a parallelogram, and AC and BD are its two diagonals.  Show that AO = OC and that BO = OD

Strategy

Once again, since we are trying to show line segments are equal, we will use congruent triangles. And here, the triangles practically present themselves. Let’s start with showing that AO is equal in length to OC, by using the two triangles in which AO and OC are sides: ΔAOD and  ΔCOB.

There are all sorts of equal angles here that we can use. Several pairs of (equal) vertical angles, and several pairs of alternating angles created by a transversal line intersecting two parallel lines. So finding equal angles is not a problem. But we need at least one side, in addition to the angles, to show congruency.

As we have already proven, the opposite sides of a parallelogram are equal in size, giving us our needed side.

Once we show that ΔAOD and  ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles.

ABCD is a parallelogram    

Given

AD || BC                                

From the definition of a parallelogram

AD = BC                                 Opposite sides of a parallelogram are equal in size

∠OBC ≅ ∠ODA                      Alternate Interior Angles Theorem, ∠OCB ≅ ∠OAD                      Alternate Interior Angles Theorem,

ΔOBC ≅ ΔODA                     

Angle-Side-Angle

BO=OD                                Corresponding sides in congruent triangles AO=OC                             Corresponding sides in congruent triangles.

5 0
3 years ago
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