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maksim [4K]
3 years ago
8

Using no digits other than 5 and 8, make a 6-digit number, that has the properties below. If it is impossible, write so. Of cour

se you may use each digit more than once. A multiple of 11.
Mathematics
1 answer:
olga2289 [7]3 years ago
3 0
A six digit number that fits this criteria is 588588, for this number divided by 11 is a whole number, 53508. If you don't need to use both numbers, 555555 and 888888 also work as answers.
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En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
sertanlavr [38]

Answer:

I think its 300

Step-by-step explanation

This is from my understanding, so I may be a bit wrong.

1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.

2. Using this idea we will come up  with the equations of  each triangle that has been formed.

3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.

4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180

5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180

6. Solve for y, which gives us y=30, *<em>simple triangle math you know*</em>

7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)

8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300

Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.

3 0
3 years ago
A map using a scale inch of 1 to 5 miles shows a section of land with an area of 3.2 in.² what is the actual area of the section
Karolina [17]

Answer:

The actual area of land is 80 mi² .

Step-by-step explanation:

Given that we have to find the actual area so first we have to square the ratio(scale factor) :

1 in : 5 mi

(1 in)² : (5 mi)²

1 in² : 25 mi²

Next, the actual area will be :

1 in² = 25 mi²

(1 × 3.2) in² = (25 × 3.2) mi²

3.2 in² = 80 mi²

6 0
3 years ago
Please help me!! I will mark brainliest
Annette [7]

I drew it out below (don't you just love my effort? XD)

You're gonna use the sine trig function to find the length of the shadow

sin26 / 1 = 43 / x; now you cross multiply

sin26 x = 43; divide both sides by sin26

x = 43 / sin26

x = 98 which is the shadow

Hope this helps!

6 0
3 years ago
6.
abruzzese [7]

Answer:

10.50

Step-by-step explanation:

7 0
3 years ago
Which of the shaded regions below represents 3/5 of the whole circle
Norma-Jean [14]

Answer: B

Step-by-step explanation:

3 0
3 years ago
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