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timama [110]
3 years ago
13

The area of the rectangle is 26cm2. Find the missing side length

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0
Where is the picture?
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0 = -1/14 x^2 + 4x +5<br><br> I need to solve for x but I don't get it, PLEASE EXPLAIN AND HELP!!
MariettaO [177]
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5)      [now distribute]

0=x²-56x+70      [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:

x=<u>-b+/-√(b²-4ac)</u>
            2a
a=1, b=(-56), c=70

x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
                  2(1)
x= <u>56+/- √(3136-280)
</u>               2
<u />x=<u>56+/-√(2856)</u>
             2
x=<u>56+/-√(2³·3·119)</u>
               2

x=<u>56+/-2√(714)</u>
             2

x=28+√714; x=28-√714



5 0
3 years ago
Divide. Write your answer as a fraction in simplest form.<br><br> 9/10÷(−6/5)=
bulgar [2K]

Answer:

-\frac{3}{4}

Step-by-step explanation:

1.\frac{9}{10}×-\frac{5}{6}

2.-\frac{3}{4}

3 0
3 years ago
Please help ASAP this Is due tomorrow
Grace [21]

Answer:

384 inches²

Step-by-step explanation:

The surface area of a cube is found by using 6a².

6 = the number of sides in a cube

a = the given dimension (in this case, 8 inches long)

SA = (6)8²

SA = 6(64)

SA = 384

Hope this helps, sorry if it’s not what you’re looking for :)

3 0
3 years ago
A building casts a shadow that is 18 ft long. A woman standing near the building is 5.75 ft tall and 4 feet long. What is the he
Lynna [10]

Answer:

25 feet 6 inches

Step-by-step explanation:

Assuming that the woman is standing up straight, you have a situation where you have two similar right triangles. The legs of the smaller triangle are the woman's height and the length of her shadow, and the legs of the larger triangle are the building's height and the length of its shadow. We know that the sides of similar triangles are proportional, so we can write:

5ft8in =2ft=x%2Aft%2F18ft

Now you need to cross-multiply and solve for x, but multiplying feet times feet and inches is a messy calculation. Changing 5 ft 8 inches to 5 and 2/3 feet is messy also. My recommendation is to convert everything to inches, and then convert back to feet and inches when you are done.

5 ft 8 inches = (5 *12) + 8 = 68 inches

4 ft = 4 * 12 = 48 inches, and

18 ft = 18 * 12 = 216 inches.

Now the proportion looks like:

68%2F48=x%2F216, so

48x=14688 after cross-multiplying, and

x=306 after dividing by 48. So the building is 306 inches tall. But we want to know the height of the building in feet and inches. To convert back to feet and inches from inches, just do integer division by 12 where your answer is expressed as a quotient and a remainder. The quotient is the number of feet, and the remainder is the number of inches.

306 = 25 remainder 6, so the answer is 25 feet 6 inches.

Note that this answer makes sense. 5'8" is nearly 6'. 6' is one and a half times 4 feet, so the woman is a little less than one and a half times taller than her shadow is long. One and a half times the building's 18 ft shadow is 27 feet, and that is a little bit more than the 25'6' answer that we

5 0
3 years ago
Factors of -49 and add up to 14
Salsk061 [2.6K]

1,2,7,14 would be your answer :)

7 0
3 years ago
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