Answer:
(x+1) (7x - 4)
Step-by-step explanation:
7x² + 3x - 4
Use the diamond...
7 times -4 equals -28 and 7 plus -4 = 3
Use factor by grouping b/c a does not equal 1
7x² + 7x - 4x - 4
7x(x + 1) -4(x + 1)
(x+1) (7x - 4)
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
"The chemical is dispensed to completely fill 25 identical cylindrical containers"
So obviously the volume of each is 1/25 of the whole volume, right? So you know V for one of these cylinders.
"each with a radius of 5 in"
V = pi*r^2*h
<span>You know V. You know r. Plug them in. Solve for h. Should take one line.
</span><span>235,500 /25 = 9420 is the volume of 1 cylinder.
</span>h <span>=</span><span>V/</span><span>π</span><span>r</span><span>2</span><span>
</span>h ≈119.94
A= π r^2, and we don't know r, so we'll have to use r = √C/π.
√C is and infinite number, and the square root of
π is an infinite number, so this problem is impossible.
Answer:
Step-by-step explanation:
hi there.