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ser-zykov [4K]
2 years ago
6

Joey's dog weighs 102.45 pounds. Jimmy's dog weighs 25.38 pounds less.

Mathematics
2 answers:
kari74 [83]2 years ago
8 0

 1.Since 5 is less than 8, borrow 1 from the next column to make 15.



 2.Calculate 15 - 8, which is 7.


 3.Calculate 3 - 3, which is 0.

 4.Since 2 is less than 5, borrow 1 from the next column to make 12.


 5.Calculate 12 - 5, which is 7.


6..<span>Calculate 9 - 2, which is 7.</span>

7.<span>Therefore, 102.45 - 25.38 = 77.07.</span>
prisoha [69]2 years ago
6 0
102.45 - 25.38 =77.07.
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The rule is -3, then +2

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Points A(-2,3), B(-5,-4), and C(2,-1) form triangle ABC on a coordinate plane. What is the area of this triangle in square units
Veseljchak [2.6K]

1. Draw an accurate picture of the triangle in the coordinate axes, as shown in the attached picture.<span>

<span>2. Circumscribe a rectangle about the triangle, as shown in the picture. The coordinates of the points M, N, T are easily identifiable as shown in the picture.</span>

<span>3. The area of the triangle ABC is  The area of the rectangle - Area 1- Area 2- Area 3.</span>

Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
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Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Elena-2011 [213]

<u>Given</u>:

The length of the segment of the chord DB is 8.2 units.

The length of the segment AB is 6.9 units.

The length of the radius AC be x units.

We need to determine the value of x.

<u>Length of BC:</u>

Since, we know the property that, "if a radius is perpendicular to the chord, then it bisects the chord".

Thus, applying the above property, we have;

DB ≅ BC

8.2 = BC

Thus, the length of BC is 8.2 units.

<u>Value of x:</u>

Since, ∠B makes 90°, let us apply the Pythagorean theorem to determine the value of x.

Thus, we have;

AC^2=AB^2+BC^2

Substituting the values, we have;

x^2=6.9^2+8.2^2

x^2=47.61+67.24

x^{2} =114.85

x=10.7

Thus, the value of x is 10.7 units.

Hence, Option A is the correct answer.

4 0
1 year ago
Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca
timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the <u>Mean</u> for sample of taste of pizza in <u>California</u>:

μ₁ = \frac{34+39+40+46+33+31+34+14+15+45}{10} = 33.1

Calculating the <u>Mean</u> for the sample in Iowa:

μ₂ = \frac{28+25+35+16+25+29+24+26+17+20}{10} = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The <u>Variance</u> for the sample in <u>California</u> is

σ² = \frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}σ² = 120.50

The <u>Variance</u> for the sample in <u>Iowa</u> is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in <u>California</u>, the <u>Range</u> is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

  • Mean = 33.1;
  • Variance = 120.50;
  • Range = 32;

For Iowa:

  • Mean = 24.5;
  • Variance = 32.73;
  • Range = 19;

<u />

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valentinak56 [21]

Answer:

10:18am

Step-by-step explanation:

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