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jarptica [38.1K]
4 years ago
9

Work out the base of a square with area, A = 4cm2.

Mathematics
1 answer:
mestny [16]4 years ago
8 0

Answer:

each side of the square is 2cm

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Which point on the coordinate plane is a reflection of point A across the y-axis?
Len [333]
Point N is a reflection of Point A across the y-axis!
7 0
3 years ago
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H(x) = 4x +3. What is<br>the coordinate pair for h (1)?​
Oksana_A [137]

9514 1404 393

Answer:

  (1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

  h(1) = 4(1) +3 = 7

The coordinate pair is ...

  (x, h(x)) = (1, h(1)) = (1, 7)

7 0
4 years ago
Determine whether the following statement is true or false. Justify your answer.
riadik2000 [5.3K]

Answer:

B. The statement is false. This is true only if θ is an acute angle in a right triangle.

Step-by-step explanation:

Trigonometric ratio formula can only be applied to define the relationship between the angles of a right triangle and its side lengths.

Therefore, it is impossible to define or find the tan θ of "any triangle". It only applies to right angled triangles.

In the case of a right triangle, given a reference angle, θ, tan θ = side lenght opposite to θ ÷ side lenght adjacent to θ (tan θ = \frac{opp}{adj}.

A right triangle has two acute angles and 1 right angle that which is 90°.

Therefore, we can conclude that:

"B. The statement is false. This is true only if θ is an acute angle in a right triangle."

3 0
3 years ago
Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (3, 1, 0) and perpendicu
iren2701 [21]

Answer with Step-by-step explanation:

We are given that a point (3,1,0)

Two vectors are

A=<1,1,0>

B=<0,1,1>

A\times B=\begin{vmatrix}i&j&k\\1&1&0\\0&1&1\end{vmatrix}

A\times B=i-j+k

Let v=A\times B=i-j+k

v==

r_0==

r=r_0+vt

Substitute the values then we get

r=+t

r=

The parametric equation of the line

x=x_0+at,y=y_0+bt,z=z_0+ct

Using the formula

The parametric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

x=3+t,y=1-t,z=t

The symmetric equation of the line is given by

\frac{x-x_0}{a}=\frac{y-y_0}{b}=\frac{z-z_0}{c}

Using the formula

The symmetric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by

\frac{x-3}{1}=\frac{y-1}{-1}=z

8 0
4 years ago
A rectangle with the length of 75 miles and width of 25 miles can be used to model building usage at one of Florida's universiti
HACTEHA [7]

Answer:

24 students per mile

Step-by-step explanation:

Given in the question,

Length of rectangle for building university = 75 miles

Width of rectangle for building university = 25 miles

Total area:

Length x Width

= 75 x 25

= 1875 miles²

Only 70% of the buildings at this university are used for instruction

70% of 1875 miles²

70/100 x 1875

= 1312.5 miles²

32,125 students are enrolled at this university

So,

1312.5 miles² = 32,125 students

1 mile =  32,125/1312.5

          = 24 students per mile

8 0
3 years ago
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