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3 years ago

1. Which quadrilaterals always have opposite

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

4 0

Answer:

The quadrilaterals which have opposite angles congruent are parallelograms.

Hope it will help :)

aliya0001 [1]3 years ago

3 0

The answer is parallelogram

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Using the figure at the right, find the height of the dinasaur.

Hatshy [7]

Answer: 23 ft

Step-by-step explanation:

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3 years ago

Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine

Paladinen [302]

Answer:

a) 117.4

b) 117.9

c) Option A) When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

n = 9

a) Median of the reported blood pressure values

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4

Median =

$\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4$

b) New median of the reported values

Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

$\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.9$

c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A) When there is rounding or grouping, the median can be highly sensitive to small change

7 0

3 years ago

which statements are true about the graph of the function f(x) = 6x – 4 x2? check all that apply. the vertex form of the functio

Brut [27]

Answer:

The vertex of the function is the point $(-3,-13)$

The graph increase over the interval--------> (-3,∞)

Step-by-step explanation:

we have

$f(x)=6x-4+x^{2}$

1) Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)+4=x^{2}+6x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)+4+9=x^{2}+6x+9$

$f(x)+13=x^{2}+6x+9$

Rewrite as perfect squares

$f(x)+13=(x+3)^{2}$

$f(x)=(x+3)^{2}-13$ -----> function in vertex form

2) Find the vertex

The vertex of the function is the point $(-3,-13)$

3) Find the axis of symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

The x-coordinate of the vertex in this problem is equal to $x=-3$

therefore

the equation of the axis of symmetry is $x=-3$

4) Find the increase-decrease intervals

The graph increase over the interval--------> (-3,∞)

The graph decrease over the interval--------> (-∞,-3)

see the attached figure to better understand the problem

5) Find the x-intercepts of the function

we know that

the x-intercepts are the values of x when the value of the function is equal to zero

In this problem the x-intercepts are

$(-6.61,0)$ and $(0.61,0)$

The function cross the x-axis twice

see the attached figure

5 0

4 years ago

Read 2 more answers

How do i make this fraction (7/3) a mixed number?

uranmaximum [27]

You get the whole numbers (1's) out of it and show the left over fraction next to it. (e.g. there is 7/3 as a mixed number is 2 1/3 )

7 0

3 years ago

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

tigry1 [53]

Answer:

- The area of the base of the pyramid, B, is 24 cm

- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

Step-by-step explanation:

Volume of a rectangular based pyramid = 1/3{Base area × Height}

Base Area = Length × Breadth

Volume = 1/3{(Length × Breadth) × Height}

Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

centimeters by 6 centimeters

Base Area = 4cm × 6cm

Base area = 24cm²

If Height =9cm

Volume of the pyramid = 1/3 × 24 × 9

Volume = 24 × 3

Volume of the pyramid = 72cm³

If the shape is a prism, the volume will be base area × height

= 24 × 9

= 216cm³

It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.

6 0

3 years ago

Read 2 more answers