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s344n2d4d5 [400]

2 years ago

9

Please help me with this!!

1 answer:

Sergeu [11.5K]2 years ago

6 0

Answer:

The perimeter of ABC is 36 feet

Step-by-step explanation:

ABC is Similar/in ratio to DEF.

Using the side BC, we can tell that it is corresponding to side EF.

This makes the ratio between the two sides 15:5 or, 3:1

This means that the ratio of ABC and DEF's perimeters is 3:1 feet

Because we know the perimeter of DEF-12 ft- We can substitute this number in the ratio which means that 3(12):12 is the ratio of the perimeters

This means that the perimeter of ABC is 3*12, or 36 feet

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A point on the terminal side of an acute angle in standard position is (1, 2 √2). Find the cosine value of this angle.

kozerog [31]

Answer:

$cos\theta=1/3$

Step-by-step explanation:

The point at the terminal side of an acute angle is given by $(1, 2\sqrt{2} )$ .

That is,

$x = 1$ and $y= 2\sqrt{2}$ .

Let r be the length of line segment drawn from the origin to the point and is given by the formula:

$r = \sqrt{x^{2} + y^{2}}$

Substituting the values of x and y into r,

$r = \sqrt{1^{2} + (2\sqrt{2} )^{2}}$

$r = \sqrt{1 + 8}$

$r = \sqrt{9}$

Thus, $r=3$

Also, $cos\theta$ is given by:

$cos\theta = x/r\\$

Substituting values of x and r,

$cos\theta = 1/3\\$

4 0

2 years ago

Please help!?<br><br> Evaluate the expression 5V - 6w when v= 4 and w= 2.

Rudik [331]

Answer:

8

Step-by-step explanation:

5V-6W

V=4. W=2.

5(4)-6(2)

20-6(2)

20-12=

8

8 0

2 years ago

Anil wants to multiply 5, 6, and 3. Which expression could Anil write in the box to

Elis [28]

Answer:

1) 5 * 18

Step-by-step explanation:

Because 6*3 = 18

5*6*3 = 5*18

6 0

2 years ago

Read 2 more answers

John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tr

fenix001 [56]

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 38⁰

Adjacent = a = 5 ft

Opposite = b = 20 ft

Hypotenuse = Tree length = c ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

$\:c=\sqrt{a^2+b^2}$

substituting a=5, b=20

$c=\sqrt{5^2+20^2}$

$c=5\sqrt{17}$

$c=20.6$ ft

Thus, the tree is 20.6 ft tall.

3 0

2 years ago

PLEASE HELP ASAP.

alexandr1967 [171]

Answer:

$Y' = (-2, 4\frac{2}{3})$

Step-by-step explanation:

Given

$Y = (-3,7)$

$Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)$

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

$Y' = Scale\ Factor * Y$

For, the x coordinates.

$Y' = \frac{2}{3}x$

Where

$x = -3$

$Y' = \frac{2}{3} * -3$

$Y' = \frac{-6}{3}$

$Y = -2$

For the y coordinates:

$Y' = \frac{2}{3}y$

Where

$y = 7$

$Y' = \frac{2}{3} * 7$

$Y' = \frac{14}{3}$

$Y' = 4\frac{2}{3}$

Hence:

$Y' = (-2, 4\frac{2}{3})$

3 0

2 years ago