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2 years ago

What is the absolute value of -34

Mathematics

1 answer:

charle [14.2K]2 years ago

4 0

Answer: 34

Step-by-step explanation:

Absolute value is how many numbers is that number away from zero. -34 is 34 places away from zero.

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Un globo busca aterrizar en medio de dos ciudades A y B, cuya distancia entre si es de 200 km. Si se mide el ángulo de elevación

scoundrel [369]

Answer:

$h \approx 59.898\,km$

Step-by-step explanation:

El diagrama trigonométrico que representa el enunciado es incluido abajo como adjunto. Las siguientes relaciones trigonométricas describen la localización del globo. (The trigonometric diagram representing the statement is included below as attachment. The following trigonometric relations describes the location of the balloon):

$\tan 27^{\circ} = \frac{h}{x}$

$\tan 36^{\circ} = \frac{h}{200-x}$

A continuación, se obtiene la distancia horizontal: (The horizontal distance is obtained hereafter):

$x \cdot \tan 27^{\circ} = (200-x)\cdot \tan 36^{\circ}$

$x \cdot (\tan 27^{\circ} + \tan 36^{\circ})= 200\cdot \tan 36^{\circ}$

$x = \frac{200\cdot \tan 36^{\circ}}{\tan 27^{\circ}+ \tan 36^{\circ}}$

$x \approx 117.557\,km$

La altura aproximada del globo es (The approximated height of the globe is):

$h = x\cdot \tan 27^{\circ}$

$h \approx 59.898\,km$

7 0

2 years ago

HJ is twice JK. J is between H and K. If HJ= 4x and HK=78, find Jk.

ss7ja [257]

You'll find it easier to understand if you illustrate the problem as what is shown in the attached picture. From the illustration and the problem description, two equations can be formulated:

HJ = 2JK
HJ + JK = HK

2JK + JK = 78
3JK = 78
JK = 78/3
JK = 26

6 0

2 years ago

The cruise boat can carry up to 45 passengers. The company wants to know the minimum number of passengers needed per cruise to c

aksik [14]

Fixed costs:
$350 + $120 + $170 = $640
Variable costs:
x * ( $6.50 + $3.64 ) = x * 10.14
Sales income ( total ):
x * $36.40
FC + FV - Income = 0
640 + 10.14 x - 36.40 x = 0
640 - 26.26 x = 0
26.26 x = 640
x = 640 : 26.26 = 24.37
Answer:
The minimum number of passengers needed per cruise, so that the cruise company can be sure it will make a profit is 25.

3 0

2 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s

anyanavicka [17]

Answer:

1,496 new car buyers

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

$\bf n=\frac{z^2p(1-p)}{e^2}$

where

z = 1.645 is the critical value for a 90% confidence level (*)

p= 0.33 is the population proportion.

e = 0.02 is the margin of error

$\bf n=\frac{(1.645)^20.33*0.67}{0.02^2}=1,495.76\approx 1,496$

(*)This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9

It can be obtained in Excel or OpenOffice Calc with

NORMSINV(0.95)

6 0

2 years ago

Anita earns 60 points every time she shops at a grocery store.She needs a total of 2,580 points to receive a free prize.So far s

Alexandra [31]

Answer: 43 more times

2580÷60=43.

Step-by-step explanation: 43×60 =2580

This proves that 43 times is correct.

6 0

2 years ago