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schepotkina [342]
4 years ago
10

a 46 inch piece of Steel is cut into three pieces so that the second piece is twice as long as the first piece and third piece i

s one in more than six times the length of the first piece find the length of the pieces
Mathematics
1 answer:
Natasha2012 [34]4 years ago
4 0
X,2x,6x+1=46
(46-1)/5
x=5
5,10,31
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Which binomials is a factor of 16x^2 + 40xy + 25y^2?
Valentin [98]
Answer: (4x + 5y)^2

Factor the expression. 
6 0
3 years ago
If the measure of angle A is 40 degrees and the length of side b is 15 inches, which can be the length of side a if it is possib
Julli [10]
This is the concept of trigonometry, to get the possible length of side a we use the sine rule which states that:
a/sin A=b/sin B=c/sin B
where;
a,b and c are the sides
A,B and C are the angles
thus the value of A could be as follows;
assuming the triangle is an isosceles triangle, the base angles will be:
(180-40)/2=70
thus;
15/sin 70=a/sin 40
a=(15sin40)/sin70
a=10.26 inches
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8 0
3 years ago
Solve x2 – 8x + 15 &lt; 0.<br><br> Select the critical points for the inequality shown.
quester [9]

Answer:

x=3,5

Explanation:

x2−8x+15=0

Try to express the terms of the equation in square form.

Adding 16 both sides of the equation,

(x2−2⋅x⋅4+42)+15=16

or,(x−4)2+15−16=0

or,(x−4)2−1=0

or,(x−4)2−12=0

This is the a2−b2=(a+b)(a−b)form.

(x−4+1)(x−4−1)=0

or,(x−3)(x−5)=0

Now, equate both the terms to zero since both of them when multiplied, give zero.

Either,

x−3=0

∴x=3

Or,

x−5=0

∴x=5

Ans:x=3,5 Hope this helpsXD...!!

4 0
3 years ago
Read 2 more answers
A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
3 years ago
20 POINTS!!! Determine the domain and range of the function
azamat
Domain is all Real Numbers and Range is from 0, but not including 0, to infinity.  So it would be the first one
8 0
3 years ago
Read 2 more answers
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