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3 years ago

Select ALL of the trips that would take 2 hours.

Mathematics

2 answers:

Luba_88 [7]3 years ago

5 0

Answer:

The answer, also the only answer, is C.

Step-by-step explanation:

A: 20 is 1/2 of 40, so you would arrive at Seneca Falls in half an hour.

B: Same as a, 2 is 1/2 of 4, so you would also arrive to school in half an hour.

C: 60 is double 30, so it would take two hours to get from Albany to New York City.

Elza [17]3 years ago

3 0

Answer is c

30 miles per hour, it’s 60 miles away. so two hours

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What is an equation of circle O shown in the graph below?

vovangra [49]

Answer:

Equation of circle is $x^2+y^2-12x-4y+24=0$

None of the options is correct

Step-by-step explanation:

Given: Graph

To find: equation of circle

Solution:

A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).

From the graph,

centre (a, b) = $\left ( 6,2 \right )$

radius (r) = 4 units

Equation of circle is of form $(x-a)^2+(y-b)^2=r^2$

$(x-6)^2+(y-2)^2=4^2\\x^2+36-12x+y^2+4-4y=16\\x^2+y^2-12x-4y+24=0$

5 0

4 years ago

Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it t

joja [24]

Here's the given:
P=$400
i=7.5%
A=$8500

The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years

6 0

3 years ago

Find the value of angle x , angle y, and angle z in figure.

Lynna [10]

$\bf \underline{★ Solution-} \\$

In the given figure, we are given with two lines which are parallel to each other. We are also given with two lines which forms a triangle and also forms as a transversal lines to the parallel lines. We are also given that the given triangle is an isosceles triangle. So, we can say that the other angle in the triangle also measures 75°.

Now, let's find the value of the ∠x.

We know that the alternate angles in the parallel line always measures the same as the one which is in it's alternate side. So,

$\sf \leadsto \angle{x} = {75}^{\circ}$

Now, let's find the value of the ∠z.

We know that, all the angles in a triangle always adds up to 180°. In the given triangle, we are given with two angles, so we can easily find the third angle.

$\sf \leadsto {75}^{\circ} + {75}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \leadsto {150}^{\circ} + \angle{z} = {180}^{\circ}$

$\sf \leadsto \angle{z} = 180 - 150$

$\sf \leadsto \angle{z} = {30}^{\circ}$

Now, let's find the value of the ∠y.

We know that all the angles that forms a straight line always equals up to 180° (or) the the straight line angle always measures 180°. So, we can find the value of the ∠y by this concept.

$\sf \leadsto {75}^{\circ} + {30}^{\circ} + \angle{y} = {180}^{\circ}$