solve similar triangles (advanced)

Answer:

1. 100

2. 10000

3. 10

The distance across the river, given the angle of the line of sight and the

distance along the shoreline is found using trigonometric ratios.

Reasons:

The distance along the the shore Shawna walked before sighting across the river = 90 feet

The angle made by the line of sight and the shoreline, θ = 65°

Required:

The distance across the river.

Solution:

Taking the initial location of Shawna to be the closest place to point she wanted to go across the river, we have;

The shortest distance across the river = A perpendicular line

Therefore, the following sides, form a right triangle;

Where:

The line of sight = The hypotenuse side

The distance she walked = The adjacent side to angle 65° angle

The closest distance across the river = The opposite side to the 65° angle

By trigonometric ratio, we have;

Which gives;

Opposite side to angle = tan(θ) × Adjacent side to angle

Therefore;

Distance across the river = tan(65°) × 90 feet ≈ 193.0 feet

Learn more about trigonometric ratios here:

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Answer:

Answer:

Step-by-step explanation:

BOX #1 -- 2x

BOX #2 -- 4x

BOX #3 -- 8

BOX #4 -- 16

BOX #5 -- 4

The amount spent on water and biscuits is $5.4 and $3.6, respectively

From the question, the ratio is given as:

[tex]Biscuits : Water= 3 : 2[/tex]

Represent both proportion as a fraction

[tex]Biscuits = \frac 35[/tex]

[tex]Water= \frac 25[/tex]

Kolyhan has $9.

So, the amount spent on biscuit is:

[tex]Biscuit= \frac 25 \times 9[/tex]

[tex]Biscuit= 3.6[/tex]

The amount spent on water is:

[tex]Water = 9 - 3.6[/tex]

[tex]Water = 5.4[/tex]

Hence, the amount spent on water and biscuits is $5.4 and $3.6, respectively

Read more about ratios and proportions at:

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Answer is attached.

Hope it helps :)

Answer:

A-B=

-2-8-9-(9-9+6)=

-19-6=

-25

Answer:

it simple there nothing there Step-by-step explanation:

Answer:

4

Step-by-step explanation:

How many times does the denominator go into the numerator, in this case 10 goes into 40 4 times.

Answer:

3 & 4

Step-by-step explanation:

Because 3 = 8.396 which is greater than 8.274 also the same with 4 which is 8.295

Answer:

-21z-35t+21g

Step-by-step explanation:

Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g

Answer:

c.

Step-by-step explanation:

If its isoceles, then LM is equal to LN. This means 3x-2 = 2x+1. 3x minus 2x is x. 2 plus 1 is 3. So x = 3. So it needs to be c or d. since LM and LN are the same answers, go to MN and find the answer. If you siubstitute 3 for x in 5x-2, then you get 13.

x³ + 6x² + 4x + 24

= x² (x + 6) + 4 (x + 6)

= (x² + 4) (x + 6)

Answer:

t=84

Step-by-step explanation:

Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation

$$\frac{t-6}{6} = \frac{t+7}{7}.$$

To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:

$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$

then simplify to get

$$7\cdot (t-6) = 6\cdot (t+7).$$

The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.

Now we expand using the distributive property:

7t - 7\cdot 6 &= 6t + 6\cdot 7;\\

7t - 42 &= 6t + 42.

Adding $42$ to both sides gives

$$7t = 6t + 84,$$

then subtracting $6t$ from both sides gives $t=\boxed{84}$.

(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)

Answer:

744

Step-by-step explanation:

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Therefore,

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

Answer:

a

Step-by-step explanation:

to find a proportion they must equal each other

8/4 in its simplest form is just 2

to make r/3 = 2 r must be 6

6/3 is 2

Variables:

w= The\ year\ Civil\ War\ ended

The year the Greek city of Helike disappeared is -1/5(w)

sry if im wrong i hope this helps tho :)

Answer:

Hope this helps

Step-by-step explanation:

-1/5x=w

w=1865

so -1/5x=1865

x=-9325

Answer:

B and C

Step-by-step explanation:

look at comments

Answer:

  x < -5/2  or  3 < x

Step-by-step explanation:

Subtracting 15 puts the relation into a more standard form:

  2x^2 -x -15 > 0

  (2x +5)(x -3) > 0 . . . . . factor

The zeros of these factors are x = -5/2 and x = 3.

For values of x between those values (-5/2 ≤ x ≤ 3), the product of these factors will be negative or zero. In order for the product to be positive, x must not be in that range.

The solution is ...

  x < -5/2  or  3 < x

_____

Additional comment

Several methods are taught for factoring a quadratic expression. One of my favorite is using a graphing calculator to find the zeros. If p is a zero, then (x-p) is a factor.

Another way to approach the factoring of ax^2 +bx +c is to find factor pairs of the product (ac) that have a total of b. Here, that means finding factors of 2(-15) = -30 that have a sum of -1. Consider ...

  -30 = (1)(-30) = 2(-15) = 3(-10) = 5(-6)

The sums of these pairs are -29, -13, -7, -1. With the values 5 and -6, you can rewrite the quadratic expression as 2x^2 +5x -6x -15. This can be factored by grouping pairs of terms:

  x(2x +5) -3(2x +5)

  (2x +5)(x -3) . . . . . . . the factorization we show above.

__

You can see on the graph that the quadratic is greater than 0 when x < -2.5 or x > 3.

Answer:

20%

43*0.8=34.4

Hope This Helps!!!

Answer:

3x^3

Step-by-step explanation:

First: you multiply the exponents inside the parenthesis with the one outside.

12*1/3=  4

3*1/3=1

you get 81x^(4)/3x

divide everything by 3:  27x^(4)/x

now subtract exponents (when dividing), you get: 27x^3

Now 1/3 is the same thing as cube root, so cube root of 27 is, thus the answer is: 3x^3

Well, it says that 34 kids like physics and since there is 100 students, we know 34% of the kids like physics. This means 66% like biology.

Answer:

[tex]5184 \div 27 = 192[/tex]

Step-by-step explanation:

Answer:

Hello There!

Your question says that

[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]

Now lets convert mixed fraction to improper fraction

[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]

Now let's simplify..

[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]

Now simplify 22 and 11 so it will look like

[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]

Now lets convert it to mixed fraction...

[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]

So it is the answer

[tex]4 \: \frac{2}{3} \\ \\ [/tex]

The product of the two given fraction is [tex]4\frac{2}{3}[/tex].

The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].

Product of two fractions = Product of their numerators / Product of their denominators.

Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]

= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]

= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]

= [tex]\frac{14}{3}[/tex]

In mixed fraction [tex]4\frac{2}{3}[/tex]

Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].

To learn more about the product of two fractions visit:

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Answer:

if you was asking for *solve for X* it is -2/15

Step-by-step explanation:

sorry if this dose not help

Answer:

8s+8

Step-by-step explanation:

Put it into groups: (4s+4s)+(10-2)=8s+8

Brainliest is appreciated

Answer:

(4s+4s)+(10-2)= 8s/8 =1   so s=1

Step-by-step explanation:

Answer:

4/11

Step-by-step explanation:

Outcomes that meet your requirement are

 (1, 6), (2, 6), (6, 1), (6, 2)

for a total of 4 favorable outcomes.

There are 11 outcomes in which one die shows a 6.

So your probability would be 4/11.