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BARSIC [14]
2 years ago
8

Please help me if you can...

Mathematics
1 answer:
9966 [12]2 years ago
4 0

Answer:

Q2.the 2 angles of the isoceles trapezium are 1050 and 750,find the other 2 angles.

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The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Kryger [21]
Let's say the first number is -a, so "a" will be some positive value, and we multiply -1 to it, we get the -a

a consecutive number from it, is either, ahead or before it, so, -a + 1 or -a -1, is a consecutive integer, hmm let's use -a + 1 then

so, the two numbers are -a and -a + 1

we know their product is 600

\bf (-a)(-a+1)=600\implies a^2-a=600
\\\\\\
\begin{array}{lcclll}
a^2&-a&-600=0\\
&\uparrow &\uparrow \\
&-25+24&-25\cdot 24
\end{array} \implies (a-25)(a+24)=0
\\\\\\

\begin{cases}
a-25=0\implies &\boxed{a=25}\\
a+24=0\implies &a=-24
\end{cases}

we use the positive one, because we're using -1 in front of the "a"

what's the lesser integer? well, what's  -a+1?  which one is lesser?
7 0
2 years ago
Read 2 more answers
The volume of a cone is 3πx3 cubic units and its height is x units.
GaryK [48]

Answer:

It is given that the volume of a cone = 3 \pi x^{3} cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3} \pi r^{2}h

Equating the given volumes, we get

3 \pi x^{3}=\frac{1}{3} \pi r^{2}h

r^{2} h =3 \times 3 x^{3}

r^{2} h =9 x^{3}

It is given that the height is 'x' units.

Therefore, r^{2} x =9 x^{3}

r^{2} =9 x^{2}

Therefore, r = 3x

So, the expression '3x' represents the radius of the cone's base in units.




8 0
2 years ago
Read 2 more answers
Axel lives in Virginia and makes $54,000 a year. If the median annual income in Virginia is $61,233 and the median annual income
Olenka [21]
Yes, yes she is.
Hope this helps.
5 0
2 years ago
Read 2 more answers
A factory produces 6 motorcycles in 9 hours. How many hours will it take to produce 16 motorcycles at this rate ?
Shtirlitz [24]

Answer:

24 hours

Step-by-step explanation:

Let m represent motorcycles and h represent hours it takes to make the motorcycles

6m=9h

12m = 18h

9 \div6=1.5

1m = 1.5h

1.5 +1.5+1.5+1.5=

1.5+1.5=3.0

3.0+3.0=6.0

=6

18+6=24

=24h

Therefore it takes "24 hours" to create 16 motorcycles.

Hope this helps.

5 0
2 years ago
a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
Lynna [10]

Answer:

In order to maximize the profit, should be produced 200 software program and 235 video games per week

Step-by-step explanation:

Let

x ------> the number of software program

y -----> the number of video games

we know that

x \leq 200 -----> inequality A

y \leq 300 -----> inequality B

x+y \leq 435 -----> inequality C

Using a graphing tool

The solution is the shaded area between the positive values fo x and y

see the attached figure

The vertices of the shaded area are

(0,0),(0,300),(135,300),(200,235),(200,0)

The profit function is equal to

P=50x+35y

Substitute the value of x and the value of y of each vertices in the profit function

For (0,300) ----- P=50(0)+35(300)=\$10,500

For (135,300) ----- P=50(135)+35(300)=\$17,250

For (200,235) ----- P=50(200)+35(235)=\$18,225

For (200,0) ----- P=50(200)+35(0)=\$10,000

therefore

In order to maximize the profit, should be produced 200 software program and 235 video games per week

4 0
2 years ago
Read 2 more answers
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