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natulia [17]
3 years ago
15

A triangle has one angle that measure 45° and one that measures 60°. What is the

Mathematics
1 answer:
Tasya [4]3 years ago
7 0

Answer:

option a 75°

Step-by-step explanation:

45°+60°+third angle=180°[by angle sum property]

105°+third angle=180°

third angle =180°-105°

third angle=75°

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In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.
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We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.  

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(29^{\circ})=\frac{88}{IJ}

IJ=\frac{88}{\text{tan}(29^{\circ})}

IJ=\frac{88}{0.554309051453}

IJ=158.7562024638191237

Upon rounding to nearest tenth, we will get:

IJ\approx 158.8

Therefore, the length of the side IJ is approximately 258.8 units.

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4 years ago
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D. The sequence diverges by oscillation.

Step-by-step explanation:

an = (-1.00000004)n

From root test

L = Lim n->infinity (|an|)(1/n)

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==> L = Lim n->infinity |-1.00000004|

==> L = 1.00000004 > 1

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Convert the following to scientific notation: 5050​
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Step-by-step explanation:

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  • 5050​ = 5.05 *1000 = 5.05*10³
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