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Eduardwww [97]
3 years ago
6

in an arithmetic progression the thirteenth term is 27 and the seventh term is three times the second term,find the first term,t

he common difference and the sum of the first terms​
Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

Answer:

penology

Step-by-step explanation:

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3/4 -0.8 7/10 -3/4 from least to greatest
mylen [45]

Answer:

-0.8 < -3/4 < 7/10 < 3/4

Step-by-step explanation:

theyre decreasing

3 0
3 years ago
Read 2 more answers
What is the value of a in the equation −14a−5=−12?
-BARSIC- [3]
-14a-5=-12
+5 +5
-14a=-7
Divide -7 by -14a
a=2
7 0
3 years ago
EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0
3 years ago
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
What is the speed of a wave if the wavelength is 100 m and the period is 20 s?
Tom [10]

Answer:

80 m/s

Step-by-step explanation:

3 0
3 years ago
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