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2 years ago

How do you solve this problem??

Mathematics

1 answer:

Ad libitum [116K]2 years ago

5 0

Answer: x = 64

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

First, order each of the three right triangles by the lengths of the sides. Each triangle has a small (s) leg, a medium (m) leg, and a hypotenuse (h). You can determine their order visually.

Left Δ: s = 36 m = unknown h = 60

Right Δ: s = unknown m = x h = unknown

Big Δ: s = 60 m = unknown h = 36 + x

Next, notice that you can set up a proportion with the Left and Big triangles using the s and h. <em>We can't use m because it has two unknowns</em>.

$\dfrac{s}{h}:\quad \dfrac{36}{60}=\dfrac{60}{36+x}$

Cross multiply and solve for x:

36(36 + x) = 60(60)

1296 + 36x = 3600

36x = 2304

x = 64

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The total cost for tuition plus room and board at State University is 6,584

Lena [83]

Answer:

$4,194

Step-by-step explanation:

First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.

6 0

2 years ago

Gaby plays on volleyball team. In the two games she scored 3/5 of the total number of points her team scored. Her team scored 25

hjlf

Answer:

Gaby scored 27 points.

Step-by-step explanation:

First, you have to find 3/5 of both of the numbers.

What I did was I found 1/5 of each number and multiplied it by 3.

25/5=5, so 1/5 of 25 is 5. 5(3)= 15, so Gaby scored 15 points in the first game.

20/5= 4, so 1/5 of 20 is 4. 4(3)= 12, so Gaby scored 12 points in the second game.

Finally, add 15+12, which equals 27 :).

5 0

2 years ago

the temperature is already at 40 degrees it rises 4.5 degrees per minute how long will it take to get to 76 degrees

Andrei [34K]

Answer:

It will take 8 minutes for the temperature to reach 76°

Step-by-step explanation:

The expression for the total temperature in degrees at time t can be written as;

T=I+EM

where;

T=total temperature

I=initial temperature

E=temperature increase per minute

M=number of minutes

This can also be written as;

total temperature=initial temperature+temperature increase per minute×number of minutes

In our case;

T=76°

I=40°

E=4.5°

M=m

replacing;

76=40+(4.5×m)

4.5 m=76-40=36

(4.5 m)/4.5=36/4.5

m=8

It will take 8 minutes for the temperature to reach 76°

7 0

2 years ago

36 divided by 6+(18-6x2)

Ipatiy [6.2K]

Answer:

12.

Step-by-step explanation:

This equation seems to want you to use the Order of Operations, a.k.a PEMDAS (which stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). When you do a problem like this, you use the Order of Operations to figure out the order in which you'd solve your problem.

You would first solve what is in parentheses, since that is the first letter in PEMDAS. 18-6x2 is what we have in our parentheses, but it's too confusing to be solved yet. The next letter is E, a.k.a exponents, but there are no exponents in this equation, so we move on. Next is M, Multiplication. We would multiply 6 by 2, which gives us 12. Moving on, we have D, Division. We would do 36/6, which is 6.

Our 5th letter is A, Addition. We would have to add our 6 to (18-12), but that couldn't work, since our 18-12 is still in parentheses, and those come first. So, we would skip to the last letter, S, Subtraction. 18-12=6, and since we solved all the problems in the parentheses, we remove them, and add both 6's together, giving us 12.

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2 years ago

Write a complete sentence that states the type of transformation that was performed and explains the transformation in detail. Q

Cerrena [4.2K]

The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.

4 0

2 years ago

How do you solve this problem??​

How do you solve this problem??