Answer:
The correct solution is "10.92 meters".
Step-by-step explanation:
The given values are:
Center of the mirror,
= 1.22 meters
Base,
= 7.32 meters
Samantha's eye,
= 1.82 meters
Let the height of the building will be "x".
Now,
The height of the building will be:
⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]
By applying cross-multiplication, we get
⇒ [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]
⇒ [tex]=\frac{13.322}{1.22}[/tex]
⇒ [tex]=10.92 \ meters[/tex]
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
A plumbing bill was $200. This included $50 for parts and $25 per hour for labor. Find the number of hours of labor.
Answer:
6 hours
Step-by-step explanation:
Answer:
6 hrs. of labor
Step-by-step explanation:
200-50= 150
150/25= 6
4. Komal sells five cups of hot chocolate for R30.
She writes the record of her sales in the equation 5x = 30.
If x is the cost of each cup of hot chocolate, at what price did
Komal sell each cup?
Answer:
R6 for each cup
Step-by-step explanation:
5x=30
Divide 5 from both sides
5x/5=30/5
x=6
Hope this helps
What is the solution to the inequality 5.25 - b 2 6.52
+
+→
5
-5 -4 -3 -2 -1 0
1
2
3
4
OH ++
-5 -4 -3 -2 -1 0 1 2
+
3
+
4
5
OA
-5 -4 -3 -2 -1 0 1
2
3 4 5
-5 -4 -3 -2 -1 0 1 2 3 3 4 4 5
Answer:
1st option
Step-by-step explanation:
Solving the inequality
5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )
- b ≥ 1.25
Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.
b ≤ - 1.25
Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.
The solution is represented on the first diagram
someone please help me
Answer:
a. 15%
b. .73
c. 39/100, .39
d. .04, 4%
e. 77/100, 77%
f. 46/100, .46
g. .5, 50%
h. 6/100, 6%
i. 80/100, .8
j. .26, 26%
Step-by-step explanation:
Let's do the Fraction to Percent part first. Since all of the fractions have 100 in the denominator, this should be easy. The first one is 15/100 so this is just 15%, the next one is 73/100 and you can see that it is just 73%. It is the same way going from Percent to Fraction. On part f, we have 46%, so this will be 46/100.
For decimals, I recommend getting the percent first. I will use part f as my example again. You start with 46%. To make this a decimal, you just move the decimal point two spaces to the left. So, you end up with 0.46. To go from decimal to percent, you just move the point 2 spaces to the right.
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answer:
Fig. 1 :- 7.6
Fig. 2 :- 15
Step-by-step explanation:
We can use Pythagoras theorem to solve for x
[tex]c^{2} =a^{2} +b^{2}[/tex]
Figure 1:
[tex]c^{2} =7^{2} +3^{2}[/tex]
[tex]c^{2} =49+9[/tex]
[tex]c^{2} =58[/tex]
[tex]c=\sqrt{58}[/tex]
[tex]c=7.615773106[/tex]
You can now round your answer:
[tex]c=7.6[/tex]
Figure 2:
[tex]c^{2} =12^{2} +9^{2}[/tex]
[tex]c^{2} =144+81[/tex]
[tex]c^{2} =225[/tex]
[tex]c=\sqrt{225}[/tex]
[tex]c=15[/tex]
I hope this helps :)
Step-by-step explanation:
fig(1)
h=x
p=3
b=7
now,
h^2=p^2+b^2. (by Pythagoras theory)
or, x^2=3^2+7^2
or, x^2=9+49
or, x^2=58
or, x=√58
fig(2)
h=x
p=12
b=9
now,
h^2=p^2+b^2
or, x^2=12^2+9^2
or, x^2=144+81
or, x^2=225
or, x=15
In 6 seconds, a total of 3 waves crash into a cliff. The distance between 2 adjacent wave crests on the water is 8 meters.
Answer:
Wavelength = 16 m
Step-by-step explanation:
Given that,
In 6 seconds, a total of 3 waves crash into a cliff.
The distance between 2 adjacent wave crests on the water is 8 meters.
We need to find the wavelength of the wave.
We know that, the distance between two consecutive wave is called wavelength of a wave.
We can understand that, total of 3 wave crests, the distance between first and second wave crest is 8 meters.
Hence, the wavelength is 8 m + 8 m = 16 m
two hundred minus the number two
Answer:
200-2 = 198
Step-by-step explanation:
If you have 200 apples and you eat two you have 198 apples
Which angle is NOT coterminal with 5pi/4
radians?
Answer:
im in ur math class dawg lol
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Answer:
A. 7 + 4i
Step-by-step explanation:
Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i
Writing as a complex number, we find the square root of -16 + 49
Hence:
√ -16 + 49 = √-16 + √49
= 4i + 7
Rearranging
= 7 + 4i
Therefore, the correct option is A. 7 + 4i
If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.
Answer:
12? 10 + d = 15 so d = 5.
Step-by-step explanation:
Answer:
d = 5
Step-by-step explanation:
The common difference d is the difference between consecutive terms, then
d = a₁₂ - a₁₁ = 15 - 10 = 5
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:37.68
Step-by-step explanation:
Do yk the anwser to my question?
. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled
Answer:
Isosceles
Step-by-step explanation:
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answer:
40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28
Step-by-step explanation:
multiple the price by 1.40
hopefully this helped :)
Answer:
$28
Step-by-step explanation:
We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.
40/100 = 0.4.
Next, we multiply 20 by 0.4 to find the extra price:
20 * 0.4 = 8
So, the answer is 20 + 8 = $28
We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28
Hope this answer helps you :)
Have a great day
Mark brainliest
Angel went to the store to buy some chicken. The price per pound of the chicken is $4 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Angel have to pay to buy 2 pounds of chicken? Also, write an expression for the cost to buy p pounds of chicken, assuming at least one pound is purchased.
Answer:
$5.25 for 2lbs
Step-by-step explanation:
C=total cost
C=4p-2.75
---
C=4(2)-2.75
C=$5.25
Answer:
$5.25 the expression is $4p-2.75
PLEASE HELP ME!!!
Jennifer's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $2 to buy the supplies to make a fork and $1.20 to buy the supplies to make a spoon. The store sells forks for $6 and spoons for $5.50. Last April Jennifer's Custom Kitchen Supplies spent $27.60 on materials for forks and spoons. They sold the finished products for a total of $98. How many forks and how many spoons did they make last April?
Answer:
8 spoons and 9 forks
Step-by-step explanation:
2 F + 1.2S = 27.60
6 F + 5.5S = 98
solve system of equations
Plzzzz help asap thank you
I need help i'm struggling with this work!
Answer:
Domain: x is greater than or equal to 0
Range: y is greater than or equal to -5
So the answer for domain is e.
And the answer for range is a.
sam can walk 1/3 mile in 12 minutes what is her average speed in miles per hour
Answer: 1.67 mph
Step-by-step explanation:
Given
Sam walk one-third of a mile in 12 minutes
There is 60 minutes in an hour i.e. Sam take
[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]
Average speed is given by
[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]
While attempting to multiply the expression (3x + 7)" a student made mistakes. Explain and write the correct way.
Answer:
9x²+42x+49
Step-by-step explanation:
that is not the correct way to foil.
the correct way would be (3x+7)²= (3x+7)(3x+7)
simplifying that would give us 9x²+42x+49
his mistake was multiplying wrong because he did not foil
602.88 rounded to 2 decimal place is ?
Answer:
it will be 603.00
it will. e counted from the right to the left
*Brainliest* What is the value of X?
or how do I solve this equation?
Answer:
x = 6
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
69+111+12x-3 +111 = 360
Combine like terms
12x+288=360
Subtract 288 from each side
12x+288-288 = 360-288
12x = 72
Divide by 12
12x/12 = 72/12
x = 6
Answer:
x = 6
Step-by-step explanation:
All angles together equal 360
Us this to set up your formula
360 = 111 + 111 + 69 + 12x-3
360 = 288 + 12 x
360 - 288 = 12x
72 = 12x
72/12 = x
6 = x
You could also use the fact that angle t and r are equal to set your formula up as
69 = 12x-3
69+3=12x
72=12x
72/12=x
6=x
need help? will get brainlylist
Answer:
its the first answer.
hope this helps you a lot.
Chord is a line that joins any two points on the circle
AC,BC
OPTION A is the correct answer
Find the length of CD
24 PLUS 18 IJIEWJFQFHQR
Answer:
37
Step-by-step explanation:
Answer:
24+18 is 42.
Step-by-step explanation:
1
24
+18
____
42
Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?
Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)
Answer:
mkana
Step-by-step explanation:
someone help me with this
Answer:
-27 or 1/27 ( both are same)
Step-by-step explanation:
-[tex]3^{3}[/tex]
-3 * -3 * -3
=-27 or 1/27
a) Write down the exact value of tan 60' b) Find the value of h in this triangle, h= c) Write down the exact area of this triangle, h 60° 43
Step-by-step explanation:
maybe this can help you with your problem
a) The exact value of tan 60 degree is [tex]\sqrt{3}[/tex].
b) The value of h in the given triangle is √3.
c) The area of the given triangle is 24[tex]\sqrt{3}[/tex].
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
What is the value of tan 60 degrees?The value of tan 60 degree is [tex]\sqrt{3}[/tex].
What is the formula for area of a triangle?[tex]Area = \frac{1}{2}bh[/tex]
Where,
b is the base of the triangle.
h is the height of the triangle.
a) Since, the value of tan60 degree is [tex]\sqrt{3}[/tex].
Hence, the exact value of tan 60 degree is [tex]\sqrt{3}[/tex].
b). According to the given question, we have a right angled triangle in which
The length of the adjacent side w.r.t angle 60 degrees is [tex]4\sqrt{3}[/tex].
And, the length of the opposite side w.r.t angle 60 degrees is h.
Therefore, the value of h in the given triangle is given by
[tex]tan60 = \frac{h}{4\sqrt{3} }[/tex]
⇒[tex]\sqrt{3} =\frac{h}{4\sqrt{3} }[/tex] (because tan60=√3)
⇒[tex]h=4\sqrt{3} \sqrt{3}[/tex]
⇒[tex]h = 12[/tex]
Hence, the value of h in the given triangle is √3.
c) For the given triangle
Length of base = 4[tex]\sqrt{3}[/tex] unit.
And, the height of the given triangle is 12 unit.
The area of the given triangle is given by
[tex]Area = \frac{1}{2} (4\sqrt{3} )(12)[/tex]
⇒[tex]Area =24\sqrt{3}[/tex]
Hence, the area of the given triangle is 24[tex]\sqrt{3}[/tex].
Learn more about tangent of an angle and area of a triangle here:
https://brainly.com/question/15110994
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Need help quick it's urgent!
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each. They spent $26.38 total and bought 35 items total. How many candy bars did they buy?
Answer:
22
Step-by-step explanation:
number of gum = x
number of candy bar = y
0.54x + 0.88y = 26.38
x + y = 35
0.54x + 0.88y = 26.38
(+) -0.54x - 0.54y = -18.9
-----------------------------------------
0.34y = 7.48
y = 7.48/0.34
y = 22
Answer: 22
The number of the gum is 13 and the number of the candy will be 22.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.
They spent $26.38 total and bought 35 items total.
Let x be the number of the gum and y be the number of the candy.
Then the equation will be
x + y = 35 ...1
0.54x + 0.88y = 26.38 ...2
By solving the equations 1 and 2, then we have
x = 13 and y = 22
Then the number of the gum is 13 and the number of the candy will be 22.
More about the linear system link is given below.
https://brainly.com/question/20379472
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