Il
11
1-42
Find the absolute value for |-43|
-1
0
43
-43

Answer:

11.2 cm i think so ya yo write 11.2cm

Answer:

[tex] \displaystyle AC = 2.18[/tex]

Step-by-step explanation:

we are given a right angle triangle where:

since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by

[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]

substitute:

[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]

cross multiplication:

[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]

b

divide both sides by tan(70°):

[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]

by using calculator we obtain:

[tex] \displaystyle AC = 2.18[/tex]

and we are done!

[tex]\huge\bold{Given :}[/tex]

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

[tex]\huge\bold{To\:find :}[/tex]

The value of x.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = [tex] \frac{112° }{2} [/tex]

➪ x° = 56°

[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Answer:

the graph is going to be facing up not down

Answer:

The volume of the triangular prism = 648 cm³

Step-by-step explanation:

Check the image uploaded for the diagram of the prism.

Given;

hypothenuse side of the triangle, = 15 cm

base of the triangle, b = 12 cm

height of the triangle, h = 9 cm

height of the prism, I = 12 cm

The volume of the triangular prism = Area of the base triangle x  height of the prism

The volume of the triangular prism = ¹/₂ x b x h x I

The volume of the triangular prism = ¹/₂ x 12 x 9 x 12

The volume of the triangular prism = 648 cm³

Answer:

42

Step-by-step explanation:

I am preety sure !

Answer:

The Answer as you see

Step-by-step explanation:

Have a good luck with ur Exam

9514 1404 393

Answer:

  y = 2200(1.08^t)

Step-by-step explanation:

The interest earned the first year is ...

  (2376 -2200)/2200 = 0.08 = 8%

The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...

  y = 2200(1.08^t)

_____

The compound interest formula is ...

  A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years

Answer:

fourth quadrant

Step-by-step explanation:

We know that ,

[tex]\pi rad = 180^o[/tex]

Using Unitary Method ,

[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]

Therefore ,

[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]

[tex]= \boxed{\red{ 300^o }}[/tex]

Required answer !

Answer:The drinks are $2.50 each

Step-by-step explanation:$4.00 x 4 = $16.00 then do $26 - $16 = 10 and 10 divided by 4 = 2.5

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

To calculate the time required for the investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Answer:

A = $1311 and 96cents

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]

Answer: 96

Step-by-step explanation:

Given

Verne has 5 math books to line up on a shelf

Jenny has 4 english books to line up on a shelf

No of ways Verne can arrange the books are [tex]5![/tex]

No of ways Jenny can arrange the books are [tex]4![/tex]

Difference between them

[tex]=5!-4!\\=120-24\\=96[/tex]

Thus, Verne can line up 96 more orders than Jenny

Answer:

Hope it's correct

Step-by-step explanation:

I believe it's week 2.

Answer:

C

Step-by-step explanation:

Answer:

495             1/20

Step-by-step explanation:

Answer:

  [tex]495.05 = \frac{49505}{100} = \frac{9901}{20}[/tex]

9514 1404 393

Answer:

  D.  28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

  (3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

  = (4 +24) +(3 -1 +8)i . . . . . . . group like terms

  = 28 +10i

Answer:

Step-by-step explanation:

true

1. number of scarves

2. price per scarf

Step-by-step explanation:

Answer:

2 is the probability

Step-by-step explanation:

Answer:

The mean of this sample is 203.

The variance of this sample is 3154.

Step-by-step explanation:

Mean:

Sum of all values divided by the number of values.

In this case:

[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]

Rounding to the nearest whole number, 203.

Variance:

Sum of the difference squared between each value and the mean, divided by the number of values. So

[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]

Rounding to the nearest whole number, 3154.

The mean of this sample is 203.  The variance is 3154.

The variance of this sample is 3154.

Mean is given by,

[tex]M=\frac{192+113+200+287+225}{5}[/tex]

M=203.4

Sum of all values divided by the number of values.

In this case:

[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]

Rounding to the nearest whole number, 203.

Some of the differences squared between each value and the mean are divided by the number of values. So

[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]

Rounding to the nearest whole number, 3154.

To learn more about the variance visit:

https://brainly.com/question/25639778

#SPJ5

Answer:

option 4

Step-by-step explanation:

[tex]5x + 2y = 2\\2y = -5x + 2\\y = -\frac{5}{2}x + 1\\\\Slope = -\frac{5}{2}, \ y - intercept = 1[/tex]

[tex]3x - 3y = 18\\3y = 3x - 18\\y = x - 6\\\\Slope = 1, \ y - intercept = -6[/tex]

Answer:

2/3

Step-by-step explanation:

the steps are in the pic above

Answer:

I would say none of the above

Step-by-step explanation:

When you evaluate A & B they both give you negatives So C

Good luck on Khan academy ;)

Answer:

the answer should be C

Step-by-step explanation:

the first two questions both come out to negative numbers so the only option would be the third.

Answer:

first is 52°C

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:

Option B) [tex]y=x-5[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]

[tex]\text{y-intercept of 1.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:70x

Step-by-step explanation: FIND BY OWN