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abruzzese [7]
3 years ago
12

Help ASAP plz need answer

Mathematics
2 answers:
seraphim [82]3 years ago
8 0

u can download the gauthmath app. i promise it's very helpful :)

iren2701 [21]3 years ago
5 0

Answer:

y=1/4x+5

Step-by-step explanation:

............ ............

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Find the length of a rectangle with a diagonal of 10 and a height of 8.
Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0
3 years ago
What is 13% of what is 260?
nata0808 [166]

First make the 2 numbers into fractions:

13% = 13/100

260 = x/260

Cross multiply them

3380 divide by 100 is 33.80

To check do it reverse:

33.80/260 = x/100

3380 divide by 260 is 13

The answer is 33.80

7 0
3 years ago
Read 2 more answers
The recommended angle for a firefighting ladder is 75 degrees. When a 110-foot ladder is put up against a building at this angle
Sergeeva-Olga [200]

Answer: 114.37 ft

Step-by-step explanation:

If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (110 ft), the opposite leg is the height the ladder will reach h, and the adjacent leg is the distance between the base of the ladder and the building (28 ft); we have two options:

1) Using trigonometric functions, since we are given the angle \theta=75\°

2) Using the Pithagorean Theorem

Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:

(hypotenuse)^{2}=(opposite-leg)^{2}+(adjacent-leg)^{2}

(110 ft)^{2}=(h)^{2}+(28 ft)^{2}

Isolating h:

h=\sqrt{(110 ft)^{2}-(28 ft)^{2}}

h=106.37 ft

Adding to this height the extra height of 8 ft (since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):

h=106.37 ft+8 ft=114.37 ft This is the height the ladder will reach

6 0
3 years ago
If 3t-7=5t, then 6t=<br><br><br> Whyyyy? I need help with being explained why it's -21....
Alex17521 [72]

Just relax, breathe deeply from the diaphragm, allow the
cleansing air to fill your brain, and take it one step at a time.

You said that                         <u>3t - 7  =  5t

</u>OK.  Fine.
Let's just find out what  <em>6t</em>  is.

Subtract 3t from each side:         -7 = 2t

Multiply each side by  3 :          <em>-21 = 6t

</em>
Did I go too fast for you ?<em>

</em>
8 0
3 years ago
Help please me please help me
Vinil7 [7]

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

3 0
3 years ago
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