Sum of the product of 10 and x and the product of 7 and z.
Answer:
1.04
Step-by-step explanation:
8.04 - 7 = 1.04
I hope this helps!
Answer:
1) x = 6.6.
2) x = 6.1.
Step-by-step explanation:
1) In this triangle, the hypotenuse is given, which is 8 units, and the angle is given, which is 35 degrees. The base is unknown. To find the base, following ratio will be used:
cos θ = Base/Hypotenuse.
cos 35 = x/8.
x = 8*cos 35.
x = 6.6 units (to the nearest tenth)!!!
2) In this triangle, the base is given by 12, and the angle is given by 27 degrees. The perpendicular is unknown. To find the perpendicular in this case, tangent formula will be used:
tan θ = Perpendicular/Base
tan 27 = x/12.
x = 12*tan 27.
x = 6.1 units (to the nearest tenth)!!!
Answer:
=
−
7
3
=
−
7
Step-by-step explanation:
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<u>−
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<u>±
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<u>2
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<u>−
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<u>4
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<u>
</u>
<u>
</u>
<u>√
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<u>2
</u>
<u>
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<u>x={b}}^{2}-4{a}}{2{a}}}
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<u>x=2a−b±b2−4ac
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<u>Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
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<u>3
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<u>2
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<u>+
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<u>2
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<u>8
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<u>
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<u>+
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<u>4
</u>
<u>9
</u>
<u>=
</u>
<u>0
</u>
<u>3x^{2}+28x+49=0
</u>
<u>3x2+28x+49=0
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<u>
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<u>=
</u>
<u>3
</u>
<u>a={3}}
</u>
<u>a=3
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<u>=
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<u>2
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<u>8
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<u>b={28}}
</u>
<u>b=28
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<u>
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<u>=
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<u>4
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<u>9
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<u>c={129}{49}}
</u>
<u>c=49
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<u>
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<u>=
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<u>−
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<u>2
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<u>8
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<u>±
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<u>2
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<u>8
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<u>2
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<u>−
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<u>4
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<u>⋅
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<u>3
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<u>⋅
</u>
<u>4
</u>
<u>9
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<u>√
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<u>2
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<u>⋅
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<u>3
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<u>=
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<u>−
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<u>2
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<u>8
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<u>±
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<u>1
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<u>4 over
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<u>6
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<u>=
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<u>−
</u>
<u>2
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<u>8
</u>
<u>+
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<u>1
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<u>4
</u>
<u>6
</u>
<u>x={-28+14}{6}
</u>
<u>x=6−28+14
</u>
<u>
</u>
<u>=
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<u>−
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<u>2
</u>
<u>8
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<u>−
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<u>1
</u>
<u>4
</u>
<u>=
</u>
<u>−
</u>
<u>7
</u>
<u>3
</u>
<u>x=-{7}{3}
</u>
<u>x=−37
</u>
<u>
</u>
<u>=
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<u>−
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<u>7
</u>
<u>=
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<u>−
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<u>7
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<u>3
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<u>
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<u>=
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<u>−
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<u>7</u>
1. Given: Note that on the top, it is shown right next to "given"
2. Vertical angles theorem: Angles vertically opposite of each other are congruent
3. Transitive Property: If ∠3 ≅ ∠2 (Given), and ∠2 ≅ ∠6, then ∠3 ≅ ∠6
hope this helps
