MATHEMATICS HIGH SCHOOL

a boat travels 45 minutes at a speed of 8 mph. then the boat travels 1.5 times faster for 1/3 hr. how many miles do the boat travel in all. need help ASAP!!!

Answers

Answer 1

Answer:

Answer:

10 miles

Step-by-step explanation:

45/60 x 8 = 6 miles

8 x 1.5 = 4 miles

Now, add the two products together.

6 + 4 = 10 miles.

The boat traveled 10 miles in total.

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For triangle TRI the following facts are given:Segment AN is perpendicular to segment RI
AN = 6 cm
RI = 8 cm
TA = 3.3 cm
NI = 1.6 cm

In two column format prove that triangle TAN is congruent to triangle TRI

Answers

we can see that the two triangles share an angle and all their sides are parallel, thus by Tales theorem, they are in Tales position, which proves that they are congruent.

we can see from figure that:
call x and y the unknown segments TA and TN, then we have:

3.3/(3.3 + x) = 6/8

8*3.3 = 6(3.3 + x)
x = 1.1

and then the proportion still holds for those sides as well as AN and RI

we also have:
y/(y + 1.6) = 6/8
8y = 6y + 9.6

y = 4.8

and then the proportion still holds for those sides as well as AN and RI

Which ordered pair is a solution of the system? x + 4y = 19
y = -2x - 4

A. (3,4)
B. (7,3)
C. (-5,6)
D. (-2,0)

Answers

y = -2x - 4

x + 4y = 19
x + 4(-2x - 4) = 19
x + (-8x) - 16 = 19
-7x - 16 = 19
-7x = 35
-x = 5
x = -5

y = -2x - 4
y = -2(-5) - 4
y = 10 -4
y = 6

Solution set {-5, 6} (C)

Whats an explicit formula for
3 + 10 + 17 + 24 + ...

Answers

7(x-1)+3 where x is how many numbers are being added together

The Martin family is considering building a new house. On the blueprints, the dimensions of the outside of the house are 18 inches wide by 26 inches long. If the house is actually going to be 45 feet wide, what will the actual length of the house be?

Answers

This can be answered through simple ratio and proportion

Let x = width

y = height

x/y = x2/y2 = x3/y3

since

for 18 inches width we have 26 inches as length, therefore

18/26 = 45/y2

y2 = 65 ft

there is no need to convert the units for the smaller dimensions since we are dealing with definite ratios thus unitless.

Under a dilation, the point (2, 6) is moved to (6, 18). What is the scale factor of the dilation?

Answers

Answer-3

2*3=6

6*3=18

-Steel jelly

Answer: The scale factor of the dilation =3

Step-by-step explanation:

We know that if we transform point (x,y) by using dilation with scale factor k then the coordinate of the image will be (kx,ky).

Given: under a dilation, the point (2, 6) is moved to (6, 18)

Here (x,y)=(2,6) and (kx,ky)=(6,18)

$\n\Rightarrow\ x=2\ and\ kx=6\n\Rightarrow\ k(2)=6\n\Rightarrow\ k=3$

Hence, the scale factor for the given dilation= 3.

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