Answer:
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,
<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2.
</em>
<em>What is the volume of the pyramid?</em>
My answer:
As we know, The volume of a pyramid = 
base area × its height
Given:
- Side lenght of the base is;
=> The area of the base is 
- In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°
We use: 
<=> BC = 
= 4 cm
And BC is the height of the the pyramid
=> The volume of a pyramid = * 4 cm
=
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5
Answer:
A: 7 + 3 (negative 4) (2)
Step-by-step explanation:
Just as a rule of thumb, whenever you multiply or divide one negative number and one positive number, the outcome is always negative. However, whenever you multiply or divide two negative numbers OR two positive numbers, the outcome is always positive.
Now, let's first convert all these words into simple mathematical expressions and then solve them:
A) "7 + 3 (negative 4) (2)" = 7 + 3 * (-4) * 2 = 7 + (-24) = -17
B) "Negative 2 Left-bracket 12 divided by (negative 3) Right-bracket" =
-2 * [12/(-3)] = -2 * (-4) = 8
C) "(15 minus 7) minus (9 divided by 3)" = (15 - 7) - (9/3) = 8 - 3 = 5
D) "Negative 5 Left-bracket 7 + (negative 14) Right-bracket minus 30" =
-5 * [7 + (-14)] - 30 = -5 * (-7) - 30 = 35 - 30 = 5
The only expression that produces a negative value is the first one, A.
Hope this helps!
X + 2y = 5
x = 5 - 2y
2x + 4y = 3
2(5-2y) + 4y = 3
10 - 4y + 4y = 3
10 ≠ 3
5x + 2y = 3
5(5-2y) + 2y = 3
25 - 10y + 2y = 3
-8y = 3 - 25
-8y = -22
y = -22/-8
y = 2.75
6x + 12y = 30
6(5-2y) + 12y = 30
30 -12y + 12y = 30
30 = 30
3x + 4y = 8
3(5-2y) + 4y = 8
15 - 6y + 4y = 8
-2y = 8 - 15
-2y = -7
y = -7/-2
y = 3.5
An inconsistent system is a system of equation that has NO SOLUTIONS.
2x + 4y = 3 is the equation to be paired with x + 2y = 50 to create an inconsistent system.
Answer:
565.95
Step-by-step explanation:
