Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
Choose a justification for each step in the derivation of the sine difference identity.
Step 1:
Step 2: Distributive property
Step 3: Associative property
Step 4: Factoring out –1
Step 5:
Step 6:
Step 7:
The Sine difference function was derivated with the help of the sine sum function.
What is the sine difference function?The difference function for the sine function states that the sine of the difference of two angles equals the product of the sine of the first angle and cosine of the second angle minus the product of the cosine of the first angle and the sine of the second angle.
As we know that
[tex]Sin(a+b) = SinaCosb + CosaSinb[/tex]..........(1)
If we replace b by -b equation (1) becomes
[tex]Sin(a+(-b)) = SinaCos(-b) + CosaSin(-b)[/tex]
We know that
Cos(-b) =cosb
Sin(-b) =-Sinb
So, [tex]Sin(a-b) = SinaCosb -CosaSinb[/tex]
Therefore, the Sine difference function was derivated with the help of the sine sum function.
To get more about the Sine function visit:
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Please help! Which inequalities represents the domain & range of this problem
Answer:
X ≥ 20 and f(x) ≥ 1020
Step-by-step explanation:
i will give 100 pionts and branlyest to anyone who gits this right
If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. TrueFalse
Answer:
true
Step-by-step explanation:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.
Given:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.
In another shopping bag she has a 5-pound bag of flour.
The two shopping bags weigh the same amount.
To find:
The weight of each bag of dried beans.
Solution:
Let x be the weight of each bag of dried beans.
So, weight of 6 bags of dried beans = 6x.
According to the question,
Weight of first bag = (6x + 2) pounds
Weight of second bag = 5 pounds
The two shopping bags weigh the same amount. So,
[tex]6x+2=5[/tex]
[tex]6x=5-2[/tex]
[tex]6x=3[/tex]
Divide both sides by 6.
[tex]x=\dfrac{3}{6}[/tex]
[tex]x=0.5[/tex]
Therefore, the weight of each bag of dried beans is 0.5 pounds.
The weight of each bag of dried beans is 0.5 pounds.
Given that,
Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.Based on the above information, the calculation is as follows:
6x + 2 = 5
6x = 5 -2
6x = 3
x = 0.5
Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.
Learn more: brainly.com/question/24169758
Explain WHY a rotation of 180° is the same as doing
reflection over the x-axis AND the y-axis?
Please help if you are good at math!!
Answer:
Y intercept= (0,15)
X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)
Vertex= -[tex]\frac{b}{2a}[/tex]
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Which number best represents the slope of the graphed line?
Answer:
-1/3
Step-by-step explanation:
because i aint never seen two pretty best friends, its always one of em gotta be ugly
What is the product? [-3 4 2 -5]x[3 -2 1 0]
Answer:
71829x
Step-by-step explanation:
Answer:
The correct answer is option A
Step-by-step explanation
You got this! keep going! :D
Hahshxnxjennshsne did. D d d s s d d d
Answer:
are you okay?
Step-by-step explanation:
Lines m and n are parallel 70° a с d n Find the missing angle measures Enter your answers in the boxes
3/4 (4x+8)=-12. Distributive property
Answer:
x = -6
Step-by-step explanation:
I'm assuming you're solving for x
3/4 (4x + 8) = -12
you distribute the 3/4 to 4x and 8 so
3/4 times 4x = 3x
3/4 times 8 = 6
now looks like
3x + 6 = -12
3x = -12 - 6
3x = -18
x = -6
Help please and please explain
Answer:
1st question example. all you have to do is write ∠XV, ∠VW, ∠WX
Step-by-step explanation:
the ∠ means the angles. so each angle has a degree. Just list them shortest angle to longest angle.
Which system of equations represents the graph?
Answer:
B
Step-by-step explanation:
if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.
How many solutions does the system have?
y= -5x - 1
y = -5.2 + 7
Answer: y= -5x - 1
y = -5.2 + 7
Step-by-step explanation: y= -5x - 1 has 3. y = -5.2 + 7 has 1
I need helppppp I forgot how to do this :(
a=associates / p=partners
1a= $800 / 1p= $1500
(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800
(x)a + (y)p = $z
hope this helps :)
whats the Estimate 646 + 738 and 646 + 738 also 356 + 467
Answer:
646+738=1380
356+467=820
Step-by-step explanation:
Answer:
1380
1380
820
Step-by-step explanation:
Deduce the square root of 7+4√3
2 -[tex]\sqrt{3}[/tex]
♥step by step♥7-4[tex]\sqrt{3}[/tex]
=7-2[tex]\sqrt{2x3}[/tex]
=7-2[tex]\sqrt{12}[/tex]
=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )
=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²
∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]
♥plz give me brain list it would really help a lot! ♥
♥ お力になれて、嬉しいです！♥Help? Please I’m desperate
Answer:
its called a calculator division and multiplication
Step-by-step explanation:
Help please!! :) 20 points & brainliest for first correct answer!!
Please sketch the line of the equation on the graph in y = mx + b form
thanks in advance
Answer:
f(x)=6x
Step-by-step explanation:
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What similarity property, if any, can be used to show that the following two triangles are similar.
A.) SSS
B.) SAS
C.) AA
D.) Not enough information given
The two triangles could be similar by the AA similarity property. So, option C is correct.
What is AA similarity property?AA is angle-angle similarity property.
In the given figure, both of these triangles show two given angles which are 42 degrees.
The other two sides are different and not proportional to each other.
So, The two triangles could be similar by the AA similarity property.
Thus, option C is correct.
Learn more about similarity property;
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How would you write 300000 + 400000 + 600 + 7 in standard form?
Answer:
700607
Step-by-step explanation:
compare the decimal form of 2/5 and 4/9
Step-by-step explanation:
they are equal equally.
Answer:
The decimal form of 2/5 is .40. The decimal form of 4/9 is 0.4444. So 2/5 is smaller than 4/9, but if you round, they are equal.
Step-by-step explanation:
To get the decimal, you divide the numbers: 2 divided by 5 and 4 divided by 9.
use the elimination method to solve the system of equations. choose the correct ordered pair x-y=2 2x+3y=14
Answer:
x = 4
y = 2
Step-by-step explanation:
x - y = 2
x = 2 + y
2x + 3y = 14
2(2 + y) + 3y = 14
4 + 2y + 3y = 14
4 + 5y = 14
5y = 10
y = 2
x - y = 2
x - 2 = 2
x = 4
Answer:
4,2
Step-by-step explanation:
Translate the sentence six less than the product of four and a number is -2 into an equation
Answer:
4x - 6 = -2
Step-by-step explanation:
i dont really know how to explain this one
Answer:
[tex]4x-6=-2[/tex]
Step-by-step explanation:
So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.
Solve please
18 + 8x<34
Answer:
x=2
Step-by-step explanation:
PLEASE HELP ME!!!! HOMEWORK DUE IN 30 MIN!!!!!!
Answer:
b is 10.5 c is 11
Step-by-step explanation:
9+1.5
10.5
3(5)-4
15-4
11
He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know
Answer:
The first person somehow
Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667
Is it possible for two triangles to have the same side lengths but not be congruent?
3. What is the slope and the y-intercept of
the line represented by equation:
2x + y = 1?
Explanation:
Answer:
The slope is -2/1 or simplified -2 and the y-intercept is 1
Step-by-step explanation:
Answer: Slope:-2 and y-intercept:1
Step-by-step explanation:
y=1 because the y by itself means 1.
The slope is a -2 because you have to do the opposite.
I used a calculator for math for the answer
Express the radical using the imaginary unit, i.
Express your answer in simplified form.
IV-18 = +
Answer:
0.79
Step-by-step explanation:
25+30+10+4=79 so 0.79
Answer:
0.79
Step-by-step explanation:
I know because of I got taught a little about this but if I am wrong I'm sooooooo sorry