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4 years ago

A triangle has sides with lengths of 18 centimeters, 68 centimeters and 74 centimeters. Is it a right triangle?

1 answer:

5 0

18^2 + 68^2 =

= 324 + 4,624

= 4,948

74^2 = 5,476

4,848 is not equal to 5,476.

Since the sum of the squares of the lengths of the two shorter sides is not equal to the square of the length of the longest side, the triangle is not a right triangle.

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13. A, B and C share £90. The amount A and B get is in the ratio 1:2. The amount B and C

Bingel [31]

Answer:

Step-by-step explanation:

If I have 90 pounds shared between A, B, and C, then in a mathematical equation,

A + B + C = 90

However, we have way too many unknowns.

We are told that the ratio of A to B is 1 to 2, or

$\frac{A}{B} =\frac{1}{2}$ and cross multiplying,

2A = B or $A=\frac{1}{2}B$

We are also told that the ratio of B to C is 4 to 3, or

$\frac{B}{C} =\frac{4}{3}$ and cross multiplying,

3B = 4C or $C=\frac{3}{4}B$

Now we have everything in terms of B, so we will rewrite it like that:

$\frac{1}{2}B+B+\frac{3}{4}B=90$ , and

$\frac{9}{4}B=90$ and

9B = 360 so

B = 40. If B is 40 and A is half of B, then A is 20.

6 0

3 years ago

Solve for x by using log. Rounded to hundredth. <br><br> <img src="https://tex.z-dn.net/?f=4%5E%7B2x-5%7D%20%3D6%5E%7B-x%2B1%7D"

wel

Answer: $x=1.91$

Step-by-step explanation:

Given the expression $4^{2x-5} =6^{-x+1}$ , apply logarithm to both sides. Then:

$log(4)^{2x-5} =log(6)^{-x+1}$

Remembert that according the the properties of logarithms:

$log(a)^n=nlog(a)$

Then:

$(2x-5)log(4)=(-x+1)log(6)$

Appy distributive property and solve for "x":

$2xlog(4)-5log(4)=-xlog(6)+log(6)\\2xlog(4)+xlog(6)=log(6)+5log(4)\\x(2log(4)+log(6))=log(6)+5log(4)\\\\x=\frac{log(6)+5log(4)}{2log(4)+log(6)}\\\\x=1.91$

6 0

4 years ago

Read 2 more answers

Can y’all help me please

borishaifa [10]

Answer:

5 perpendicular and 4 parallel line segments so more perpendicular

Perpendicular means "at right angles". A line meeting another at a right angle, or 90° is said to be perpendicular to it. And Parallel Lines or parallel Segments are always the same distance apart, they will never meet. And in this shape there are four parallel line segments and five perpendicular

3 0

3 years ago

Simplify the expression- <br> 3k+ -9k+ -6+10k

Nady [450]

Answer:

4k-6

Step-by-step explanation:

$3k+ -9k+ -6+10k=3k-9k-6+10k=4k-6$