What is the length of the hypotenuse of a right triangle if the legs are each 5 inches long?

To find the AREA of any shape, you must calculate the sum all the sides of that shape

miv72 [106K]

Answer:

False

Step-by-step explanation:

The definition described is Perimeter

Area is found by multiplying the base by the height or the length by the width

5 0

3 years ago

The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h.

allsm [11]

The correct answer is false. The symmetry of a hyperbola with a center at (h, k) do not occurs only at y = k and x = h. The axis of symmetry occurs through each focus making right angles to the directrix. The axis of symmetry is a line that divides a graph or something into two congruent figures.

8 0

3 years ago

Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from

alex41 [277]

Answer:

The distance between the buildings is:

D = 413.3 ft

Step-by-step explanation:

Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.

One of the triangles, let's call it triangle A, has the catheti:

Distance between Dale and Building A = d1

Height of Building A = 464 ft

The other triangle (triangle B) has the catheti:

Distance between Dale and Building B = d2

Height of building B = 321ft

We want to find the distance between the buildings, which is equal to d1 + d2.

Then we want to find d1 and d2.

For triangle A:

We know that the angle at the vertex where Dale is standing, is 75°

Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.

Remember that:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Then:

Tan(75°) = (464 ft)/(d1)

d1 = (464 ft)/(Tan(75°)) = 124.3 ft

Now for triangle B, the angle at the vertex where Dale is standing is 48°.

from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.

Then:

Tan(48°) = 321ft/d2

d2 = (321ft)/(Tan(48°)) = 289ft

Then the distance between the buildings is:

D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft

7 0

3 years ago

The following mapping statements describe the transformation of the vertices of △ABC to the vertices of its image, △A′B′C′. A(0,

victus00 [196]

Answer:

C. a reflection in the y-axis

Step-by-step explanation:

The mapping statement for the transformation of the vertices of the triangle ABC is given as following:

A(0,2)→A'(0,2)

B(2,9)→B'(-2,9)

C(4,2)→C'(-4,2)

To find the correct transformation for the given statement.

Solution:

From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

$(x,y)\rightarrow (-x,y)$

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.

5 0

3 years ago

Write y= -3/4 x-6 in standard form using integers.

alexgriva [62]

Answer:

3x + 4y = -24.

Step-by-step explanation:

y= -3/4 x-6

Multiply through by 4:

4y = -3x - 24

3x + 4y = -24.

3 0

4 years ago