All categories

3 years ago

Triangle congruence Which statements are true? Select all that apply.

Mathematics

1 answer:

NISA [10]3 years ago

5 0

All but c are correct so the answer is a b and d

You might be interested in

Parameterize the curve of intersection of the surfaces so that the direction is clockwise when viewed from above. Include a sket

Olegator [25]

Answer:

Answer is attached in images

Step-by-step explanation:

Given:

x+z=1 and

$z=4-x^{2} -y^{2}$

Now,

$1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}$

Which is circle with center (1/2,0) radius

$\sqrt{13/2}$ take, $x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi$

Now,

4 0

3 years ago

85 degrees in radians

Sonja [21]

85 degrees=1.484 radians

6 0

3 years ago

Which could be the missing data item for the given set of data if the median of the complete data set is 14?

Goshia [24]

10,10,11,11,12,12,14,15,16,18,18,19

10,10,10,11,11,12,12,14,15,16,18,18,19
10,10,11,11,11,12,12,14,15,16,18,18,19
10,10,11,11,12,12,12,14,15,16,18,18,19
10,10,11,11,12,12,14,15,16,18,18,18,19

I THINK it's D

7 0

3 years ago

A box in the shape of a rectangular prism is approximately 9 inches long,has an equilateral triangle shaped base with side lengt

vfiekz [6]

Answer:

33.75 cubic inches of styrofoam can be placed inside the container.

Step-by-step explanation:

Based on given information, the volume of the prism ( $V$ ), in cubic inches, is determined by using this formula:

$V = \frac{1}{2}\cdot b\cdot h \cdot l$ (1)

Where:

$b$ - Base of the triangular face, in inches.

$h$ - Height of the triangular face, in inches.

$l$ - Length of the prism, in inches.

If we know that $b = 3\,in$ , $h = 2.5\,in$ and $l = 9\,in$ , then the volume of the prism is:

$V = \frac{1}{2}\cdot b\cdot h \cdot l$

$V = 33.75\,in^{3}$

33.75 cubic inches of styrofoam can be placed inside the container.

3 0

3 years ago

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 day

irina1246 [14]

Answer:

P ( x_bar ≥ 51 ) = 0.0432

Step-by-step explanation:

Solution:-

- The random variable "X" denotes:

X : life expectancies of a certain protozoan

- The variable "X" follows normal distribution.

X ~ Norm ( 48 , 10.5^2 )

- A sample of n = 36 days was taken.

- The sample is also modeled to be normally distributed:

x ~ Norm ( 48 , ( 10.5 / √n)^2 )

- The sample standard deviation s = 10.5 / √n = 10.5 / √36

s = 1.75

- We are to investigate the the probability of sample mean x_bar ≥ 51 days:

P ( x_bar ≥ 51 )

- Standardize the results, evaluate Z-score:

P ( Z ≥ ( x_bar - u ) / s ) = P ( Z ≥ ( 51 - 48 ) / 1.75 )

P ( Z ≥ 1.7142 ).

- Use the standardized normal table and evaluate:

P ( Z ≥ 1.7142 ) = 0.0432

Hence, P ( x_bar ≥ 51 ) = 0.0432

5 0

3 years ago