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ki77a [65]
3 years ago
8

PLEASE HELP ASAP

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
A leg of a right triangle can never be greater then the hypotenuse

this formula will tell you if it's a valid right triangle
{?}^{2} + {?}^{2} = {?}^{2}
the first two question marks are the legs of the triangle while the one after the = is the hypotenuse.

THE STEPS:
{3}^{2} + { \sqrt{7}^{2} } = {4}^{2}
9 + {2.65}^{2} = 16
{2.65}^{2} = 7
9 + 7 = 16
ANSWER: \sqrt{7}
You might be interested in
24. If Jenna spent 30 hours on the computer this week. how much total time did she spend on
Verdich [7]

Option B) 3 hours is the time spent by Jenna on the e-mail this week.

<u>Step-by-step explanation:</u>

Jenna spent 30 hours on the computer this week.

The amount of time she spends on computer to work on various fields in given in the pie-chart.

This 30 hours represents her 100% work on computer.

From the figure shown,

She spent 10% of her total work on e-mail.

Therefore, 10% of 30 is the work done in hours by her on e-mail.

⇒ (10/100) × 30

⇒ 0.1 × 30

⇒ 3 hours

∴ Option B) 3 hours is the time spent by Jenna on the e-mail this week.

7 0
3 years ago
Gina is a certain age (g). Gina's older sister is twice Gina's age. Gina's brother is half Gina's age. The sum of their ages is
aliina [53]

Answer:

Gina is 12 years old

Step-by-step explanation:

First,  we will have to write these statements mathematically and then solve.

Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.

The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)

The next statement "Gina's brother is half Gina's age" can be mathematically written as y = \frac{x}{2} ---------------------------------------(2)

Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)

We can now proceed to solve;

Substitute equation (1) and equation(2) into equation (3)

x + y + z = 42

x +  \frac{x}{2} + 2x = 42

Multiply through by 2

2x + x + 4x = 84

7x = 84

Divide both-side of the equation by 7

\frac{7x}{7} = \frac{84}{7}

x = 12

Therefore, Gina is 12 years old

7 0
3 years ago
Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

3) If A \in M_{mxn}(R) and c \in R then we have this:

T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

5 0
3 years ago
How many degrees has ABC been rotated counterclockwise about the<br> origin?
omeli [17]

Answer:

C

Step-by-step explanation:

It would take 90 degree to rotate clockwise so it will take 360-90=270 degree to rotate counterclockwise

3 0
3 years ago
Read 2 more answers
Find the number whose 12% is 725 students ? <br><br> (Can someone answer this asap)
Tju [1.3M]

Answer:

6041.666.....

Step-by-step explanation:

We have: 725 : 12% = 6041.6666.....

4 0
3 years ago
Read 2 more answers
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