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jeka94
3 years ago
14

Whats another way to represents the ratio 40:1?

Mathematics
1 answer:
Liula [17]3 years ago
7 0
40/1 is the other way
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Victor drew trapezoid PQRS on a coordinate plane p(7,4) q(10,4) r(13,-1) s(8,-1) what is length in units of side ps
olga nikolaevna [1]

Answer:

PS=\sqrt{26}units

Step-by-step explanation:

Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).

To find:: Length of the side PS

Solution : Using the distance formula, we can find the length of the side PS, therefore

PS=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}

PS=\sqrt{(-1-4)^{2}+(8-7)^2 }

PS=\sqrt{(-5)^2+(1)^2}

PS=\sqrt{25+1}

PS=\sqrt{26}units

which is the required length of the side PS.

5 0
3 years ago
The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on re
MaRussiya [10]

Answer:

\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90

Step-by-step explanation:

Given claim : From the time shoots are planted 90 days on average are required to obtain the first berry.

. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed.

As we know that the null hypotheses shows there is no statistical difference between the groups but the alternative hypothesis is opposite to it, it shows there is difference.

Thus , the correct hypotheses will be :-

\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90

3 0
3 years ago
In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

7 0
2 years ago
A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly
lianna [129]
322kmh x1000= 322,000 meters per hour
That is the relationship between km and m
Because we are turning bigger units into smaller we the number will increase.

example   2 wks = 14 days  two became 14 - it increased
7 0
3 years ago
How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4
inessss [21]

Answer:

2 times

Step-by-step explanation:

Well let's first graph the quadratic equation,

Look at the image below ↓

By looking at the image below we can tell that the graph touches the x axis 2 times at,

<u>(-1,0)</u>

<u>(1 1/3,0)</u>

<em />

<em>Thus,</em>

<em>the parabola touches the x axis twice.</em>

<em />

<em>Hope this helps :)</em>

6 0
2 years ago
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