What is the image point of (4, - 7) after a translation right 4 units and up 5 units?

Illusion [34]

Answer:

8 and 10

Step-by-step explanation:

Our first step is to set x as the other side length, and y as the hypotenuse. We get that 6 + x + y = 24, and x + y = 18. The area gives us that 6x = 24(2) = 48. We then divide both sides by 6 and we get x = 8. We have x = 8 so we plug that into the equation x + y = 18 and we get that y = 10. So the other side lengths are 8 and 10.

5 0

2 years ago

Find the length of side AB Give answer to 3 significant figures

Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a right angle $\triangle ABC$ in which we have the following things:

$\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm$

Side BC is the hypotenuse here.

We have to find the side AB.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating $\angle B$ :

Sum of all the angles in $\triangle ABC$ is $180^\circ$ .

$\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ$

We know that cosine of an angle is:

$cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm$

So, side AB = 8.857 cm .

6 0

2 years ago

A student wants to find the answer to the question “What is the most popular restaurant in Bedford?” He asks 20 randomly selecte

mojhsa [17]

Answer:

The survey results will be inaccurate since the entire sample of the population was eating at the same restaurant.

Step-by-step explanation:

When doing a survey you must make sure it is unbiased by asking a variety of people for example if you are wondering what is the favorite class at school you have to ask a certain amount of people from each class because if you ask only people from P.E the answer more than likely will be P.E or if u ask 3 people from Art and 17 from P.E your answer will properly be P.E. Make sense?

4 0

2 years ago

Read 2 more answers

Find the

irinina [24]

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

Checks out!

6 0

3 years ago

Read 2 more answers

Which statement is false?(1 point)

Sergio039 [100]

A.Fractions and decimals are not integers. All whole numbers areintegers (and all natural numbers are integers), but not all integersare whole numbers or natural numbers. For example, -5 is an integerbut not a whole number or a natural number.
B.A number is rational if it can be represented as p q with p , q ∈ Z and q ≠ 0 . Any number which doesn't fulfill the above conditions is irrational. It can be represented as a ratio of two integers as well as ratio of itself and an irrational number such that zero is not dividend in any case
C.In mathematics, an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals.
D.The correct answer is rational and real numbers, because all rational numbers are also real. Correct. The number is between integers, so it can't be an integer or a whole number. It's written as a ratio of two integers, so it's a rational number and not irrational.
 Witch one do u think it is??

3 0

2 years ago