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AnnyKZ
8 days ago
11

An angle bisector AC divides a trapezoid ABCD into two similar triangles △ABC and △ACD. Find the perimeter of this trapezoid if

the leg AB=9 cm and the leg CD=12 cm.

Mathematics
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Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’
Leona [12618]
Detailed explanation: If the class has 15 boys and 10 girls, this totals 25 students. The likelihood of selecting a girl first would be \frac{10}{25}. After that selection, there would be one fewer girl and overall student, resulting in the probability for choosing another girl being \frac{9}{24}. The final probability is obtained by multiplying these two results to yield \frac{10}{25}*\frac{9}{24}=\frac{2}{5}*\frac{3}{8}=\frac{3}{20}.
4 0
1 month ago
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Factor the expression 4x + 32. Explain each step you take in the process.
zzz [12365]
4x+32

4 goes into 4 1 time. (4/4=1)
4 goes into 32 8 times. (32/4=8)
We can factor out 4 from both numbers. 

4(1x+8)
aka 4(x+8)
6 0
2 months ago
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Which scatter plot has a correlation coefficient closest to r=1
Inessa [12570]

Answer:

The answer is the scatter plot that displays a pronounced positive slope along the curve of best fit.

Step-by-step explanation:

A scatter plot illustrates the relationships between two variables for an individual. It is essentially a graph in which a best-fit curve is drawn to encapsulate the complete dataset. A scatter plot is considered to have a robust correlation if the correlation coefficient is near r = 1, indicating a very strong connection between the two variables.

A scatter plot exhibits a solid correlation when its data points are closely aligned to the line or curve of best fit.

For r = 1, the correlation is regarded as strong and positive.

5 0
2 months ago
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Value of sec Square 26 degrees - cot square 64 degrees is
Leona [12618]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

sec^{2}(26\°)-cot^2(64\°)

Recall that

cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}

sec^{2}(26\°)=\frac{1}{cos^2(26\°)}

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}

Substituting values,

\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}

\frac{1-cos^2(64\°)}{sin^2(64\°)}

From this, we find

1-cos^2(64\°)=sin^2(64\°)

By substitution,

\frac{sin^2(64\°)}{sin^2(64\°)}=1

4 0
3 months ago
The equation y=45x represents the number of miles, y, Mr. Miller’s car can travel using x gallons of gas. Which data display rep
Inessa [12570]
You might consider utilizing the following dataset:
0 0
1 60
2 120
3 180
4 240
5 300
6 360
7 420
8 480
9 540
10 600
This information illustrates a function of:
y = 60x
This indicates that the vehicle achieves 60 miles per gallon.
The distance covered per gallon exceeds that of Mr. Miller's vehicle.
7 0
3 months ago
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