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3 years ago

Surds see attached 20 points

Mathematics

2 answers:

Over [174]3 years ago

8 0

Answer:

$5\sqrt{2} \\45$

Step-by-step explanation:

just multiply

Alisiya [41]3 years ago

4 0

Answer:

a) 5√2

b) 135

Step-by-step explanation:

√5·√10 is equivalent to √50, which in turn is equivalent to √25·√2, or 5√2.

√27·√75 can be simplified by factoring:

√3·√9·√3√25, or (because √3·√3 = 3):

(3)(9)(5) = 135

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If the sum of a number and three is doubled?, the result is seven less than the number. Find the number

pentagon [3]

(x+3)*2=x-7
2x+6=x-7
x=-13

6 0

3 years ago

Choose the correct measure of an astronomical unit. 9.3 million miles .93 million miles 93 million miles 930 million miles

Genrish500 [490]

By definition, an astronomical unit in miles is given by:
$1 AU = 9.3 * 10 ^ 7 miles
$
As it is in exponential notation, then we must rewrite.
$9.3 * 10 ^ 7 = 93,000,000 miles
$
Therefore, an astronomical unit is:
93 million miles
Answer:
93 million miles

8 0

3 years ago

point a has the coordinates(2,5) point B has the coordinates (6,17) how long is segment ab in simplified radical form

IRISSAK [1]

Answer:

$4\sqrt{10}$

Step-by-step explanation:

We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).

To find the length of segment AB we will use distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of point A and point B in distance formula we will get,

$\text{Distance between point A and point B}=\sqrt{(6-2)^2+(17-5)^2}$

$\text{Distance between point A and point B}=\sqrt{(4)^2+(12)^2}$

$\text{Distance between point A and point B}=\sqrt{16+144}$

$\text{Distance between point A and point B}=\sqrt{160}$

$\text{Distance between point A and point B}=4\sqrt{10}$

Therefore, the length of segment AB is $4\sqrt{10}$ .

3 0

3 years ago

Problem page the ratio of men to women working for a company is 5 to 8 . if there are 169 employees total, how many women work f

Ksenya-84 [330]

5 : 8....added = 13

5/13(169) = 845/13 = 65 men
8/13(169) = 1352/13 = 104 women <===

8 0

3 years ago

Josue leans a 26-foot ladder against a wall so that it forms an

postnew [5]

Answer:

25.61 feet

Step-by-step explanation:

First, we can draw a picture (see attached picture). With the wall representing the rightmost line, and the ground representing the bottom line, the ladder (the hypotenuse) forms a 80 degree angle with the ground and the wall and ground form a 90 degree angle.

Without solving for other angles, we know one angle and the hypotenuse, and want to find the opposite side of the angle.

One formula that encompasses this is sin(x) = opposite/hypotenuse, with x being 80 degrees and the hypotenuse being 26 feet. We thus have

sin(80°) = opposite / 26 feet

multiply both sides by 26 feet

sin(80°) * 26 feet = opposite

= 25.61 feet as the height of the wall the ladder reaches

6 0

3 years ago