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3 years ago

I need help with these two questions please :-)

Mathematics

1 answer:

TEA [102]3 years ago

4 0

Answer:

Step-by-step explanation:

ok for the first one

the angle measurement of AE which is a straight line is 180

and the Angle measurement of ABC is 50 and because of vertical angles i know that the measurement of FBE is also 50 so all you do it

180 - 50 = 130

so you answer is C

-----------------------------------------------------------------------------------------------------------------------

now for the second one

it would be The corresponding angles Theorem which is option A

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It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inc

dsp73

Length of outer track = sum of length of 10 pieces = circumference of the outer circle

if R is the Radius of outer circle then...

Circumference of the outer track = 2pi*R

Similarly the circumference of the inner track (with radius r) = 2pi*r

length of each outer piece is 3.4 inch more than length of inner piece

So total outer length is 10*3.4 =34 inches more than the inner length.

=> Outer Circumference - Inner Circumference = 34 inches

=> 2pi*R - 2pi*r = 34

=> 2pi(R -r) = 34

=> R-r = 34/2pi = 5.41 inches

=> R-r = Width of the track = 5.41 inches

6 0

3 years ago

Please help me with the problem below! :)

Drupady [299]

First, lets subtract the goal by 3, because she already did them.

15 - 3
12

Now, lets divide by one because that will leave you with the number of days

12/1
12

So, It will take her 12 days if she keeps up with her goal.

Hope this helps!

6 0

4 years ago

Does anyone know the quitent of 83/4

igomit [66]

Answer:

20.75

Step-by-step explanation:

The quotient of 83/4 is 20.75

6 0

3 years ago

Read 2 more answers

Two statements are logically equivalent when:

-BARSIC- [3]

<h2>Answer:</h2>

C. The two statements agree in point of truth or falsehood in virtue of their logical structure alone, i.e. the two statement are true or false in exactly the same conditions.

<h2>Step-by-step explanation:</h2>

For two statements to be logically equivalent, their truth values (true or false) must be the same for every variation of their constituent variables. In other words, if the truth tables of both statements are the same for every possible value of their variables, then they are logically equivalent.

For example;

The two statements P ∩ (Q U R) and (P ∩ Q) ∪ (P ∩ R) are logically equivalent.

If P, Q and R are all true, then;

P ∩ (Q U R) = true

(P ∩ Q) ∪ (P ∩ R) = true

If P, Q and R are all true, then;

P ∩ (Q U R) = false

(P ∩ Q) ∪ (P ∩ R) = false

If P = false, Q = true and R = true, then;

P ∩ (Q U R) = false

(P ∩ Q) ∪ (P ∩ R) = false

Checking for all other possible combinations of truth values of P, Q and R will always give the same results for the two statements, therefore, they are logically equivalent.

7 0

3 years ago

Find the surface area of the rectangular prism. justify your answer 3ft, 2ft, 4ft

Gelneren [198K]

Answer: $SA=52\ ft^2$

Step-by-step explanation:

The surface area of a rectangular prism can be calculated with the following formula:

$SA = 2wl + 2lh + 2hw$

Where "l" is the length of the rectangular prism, "w" is the width and "h" is the height.

In this case you can say that the length, the width and the heigth of this rectangular prism, are the following:

$l=4\ ft\\\\w=2\ ft\\\\h=3\ ft$

Knowing these values, you can substitute them into the formula shown before:

$SA = 2wl + 2lh + 2hw\\\\SA = 2(2\ ft)(4\ ft) + 2(4\ ft)(3\ ft)+ 2(3\ ft)(2\ ft)$

Finally, you must evaluate in order to calculate the surface area of the rectangular prism.

You get that this is:

$SA=2(8\ ft^2)+2(12\ ft^2)+2(6\ ft^2)\\\\SA=16\ ft^2+24\ ft^2+12\ ft^2\\\\SA=52\ ft^2$

4 0

4 years ago