Answer:
In right angled triangle ABC
tan 26=perpendicular/base
tan26 =BC/1050
BC=1050×tan26=512.12m
again
In right angled triangle ADE
tan 38=perpendicular/base
tan38×700=DE
DE=546.9=547m
now
difference in height =547-512.12m=34.8m=35m
35 m is your answer
Josh sees two hot air balloons in the sky as shown. 35m higher is the balloon on the right than the balloon on the left.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
Josh sees two hot air balloons in the sky as shown.
He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical.
The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical.
In right-angled triangle ABC
tan Ф = perpendicular/base
tan26 = BC/1050
BC = 1050 × tan26
BC = 512.12m
In right-angled triangle ADE
tan Ф = perpendicular/base
tan 38 = perpendicular/base
tan38 × 700 = DE
DE = 546.9
DE = 547m
The difference in height = 547 - 512.12m
=34.8m
= 35m
Therefore, 35m higher is the balloon on the right than the balloon on the left.
Learn more about trigonometric ratios here:
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#SPJ2
Helppppp!!
In DEF e = 100 inches f = 740 inches and angle D = 159°. Find the area of DEF to the nearest square inch
Answer:
13260 square inches
Step-by-step explanation:
In DEF e = 100 inches f = 740 inches and angle D = 159°. Find the area of DEF to the nearest square inch
The formula to solve the above question is
1/2absinθ
a = 100 inches
b = 740 inches
θ = 159°
The area of the triangle =
1/2 × 100 × 740 × sin 159°
= 13259.61 square inches
Approximately = 13260 square inches
Therefore, the area of DEF = 13260 square inches
Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solve an inequality to solve for how many yards, "x," Nick must mow to earn the money.
Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
Without solving, what can you tell about the solution to this equation? 0.002n + 15 = 2
Answer:
its easy
Step-by-step explanation:
cause it is
Given a function f(x)=|x+1|-|x -2|
How many solutions has f(x) = a, in respect of a?
If a E {-3, 3}, number of solutions is
if a E (-3, 3) number of solutions is
if a E (-infinity, -3) U (3,infinity) number of solutions is
Answer:
Step-by-step explanation:
[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]
[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]
[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]
Answer:
a=(x+1)-(x-2)
=x-x+1+2
a=3
A tea that is 20% jasmine is blended with a tea that is 15% jasmine. How many pounds of each tea are used to make 5lb of tea that is 18% jasmine?
Answer:
21
Step-by-step explanation:
The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we can assume that:
x = number of pounds we mix first type of tea (tea with 20% jasmine)y = number of pounds we mix first type of tea (tea with 15% jasmine)Then, as the total weight of the mixture is 5 lb, thus:
[tex]x + y = 5[/tex]
18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea
Comparing in terms of weight, we get:
[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]
Thus, we get a system of two linear equations as;
[tex]x + y = 5\\4x + 3y =18[/tex]
From first equation, getting x in terms of y:
[tex]x = 5 -y[/tex]
Substituting this in second equation, we get:
[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]
Putting this value in expression for x, we get:
[tex]x = 5-y = 5-2 = 3[/tex]
Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.
Learn more about solutions of a system of linear equations here:
https://brainly.com/question/13722693
Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of days he walk to school what will be the percent of the days in which mark walk to school
Tbe question doesn't state the number of days he walked to school out of 20 school days in the
Month of February.
Answer:
Kindly check explanation
Step-by-step explanation:
To. Obtain the fractional representayion for the number of days he walked to school ;
Let the number of days he walked to school = 10 (this is an hypothesized value)
Number of school days in February = 20
Fraction = 10 /20 = 0.5
The percentage of times walked to school : multiply the fraction obtained above by 100%
0.5 * 100% = 50%
Just put the desired value and proceed uSing the steps described above.
when evaluating (6.28x10^12)/(3.14x10^4)
Answer:
2×[tex]10^{8}[/tex]
or
200000000
Step-by-step explanation:
[tex]\frac{6.28*10^{12} }{3.14*10^4}[/tex]
2×[tex]10^{8}[/tex]
or
200000000
What is the measure of x and what is the reasoning you used
Answer:
x = 108 because of supplementary angles
Step-by-step explanation:
Solving for x:
Since x and 72 are supplemenatry angles, they'll equal to 180, so:
x + 72 = 180
x = 180 - 72
x = 108
If p is true and ~q is false then p -> ~q is ___ false.
Sometimes
Always
Never
PLEASE HELP ME
The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.
PLEASE HELP 30 POINTS AND BRAINLY
Answer:
I think the option B suits the most
Step-by-step explanation:
Brent works part-time at a clothing store. He earns an hourly wage of $15. If he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? A. 15x > 45 B. 15x < 60 C. x > 60 D. 15x < 45 E. x < 60
Answer:
A) 15x > 45
Step-by-step explanation:
Let X represent an hour. His wage will be 15 times that, so you have:
15x
He needs to earn more than 45 a day, so the inequality needs to be >45
Only answer that satisfies these conditions is A:
A) 15x > 45
Answer: A.
Step-by-step explanation:
Plzzz help me asappp I’m begging you
I don’t know I need help
Answer:
[B] 9.8 Cubic FeetExplanation:
Formula: πr²ʰ⁄₃Radius: 1.9
Height: 2.6
π: 3.14
Formula: V = 1.9²ʰ⁄₃ = 3.14 · 1.9² · 2.6 / 3 = 9.829Round: 9.8
Can someone Help me please
Step-by-step explanation:
Given,In triangle ABC. In triangle DBC
AB. = DB.
[Given]
<ABC. = <DBC
[Given]
BC. = BC
[Common side]
Hence,
As two sides and one angle of triangle ABC and triangle DBC are equal.
Therefore,Triangle ABC is congruent to Triangle DBC
Which expression is equivalent to 5 (a + b)
PLEASE HURRY THIS IS DUE IN 1 HOUR
Answer:
36
Step-by-step explanation:
Make a big square and a little one by cutting it. 6x5 is 30 and the small one is 3x2 which is 6....add then you get 36
Yalll listen i was at a party with friends in the ghetto and the ice crean truck came and they had the hot cheetos with cheese and chill poured on it ....it was bussin bussin
Answer:
wowo cool
Step-by-step explanation:
Answer:
sounds cheeesyyy
Step-by-step explanation:
Find the perimeter of the object
Help
Answer:
20
Step-by-step explanation:
Is 8 a solution to the equation 3(x-6)=3x/4?
Explain your answer
An IceBerg has 1/9 of its volume above the water. If an IceBerg has 360 cubic meters below the water, how many cubic meters are above the water.
hello
i think so...
hope it helps
have a nice day
Name the inequality!
A biologist was studying a certain species of earthworm. She collected samples of 6 adults from 2 different populations and measured their lengths in centimeters. The data are shown below.
Sample 1: 26, 25, 27, 19, 24, 26
Sample 2: 24, 23, 24, 26, 25, 25
Compare the means and ranges of the data for the 2 samples. Use your comparison to conclude the samples. Show and explain your work.
CAN YOU EXPLAIN WHY ALSO CAN YOU DO THIS AS SOON AS POSSIBLE PLEASE AND THANK YOU?
Answer:
Calculating the means:
Sum each length from each sample and divide it by the number of worms.
Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5
Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5
They each have the same sample mean.
Ranges: Take the largest length and subtract the smallest.
Sample 1: 27 - 19 = 8
Sample 2: 26 - 23 = 3
Sample 1 has a greater range.
Work out the answers of the following:
1) −2 - 7 + 4=
2)−20 + 11 − 6=
3)−5 + 14 − 8=
4)−13 − 4 + 6=
5)−30 − 80 + 40=
HELPPP PLEEEAAAASSSSEEE!!!! :(
Answer:
1)-5
2)-15
3)1
4)-11
5)-70
if negative use () for example
(-2)-7+4
Answer:
1. -5
2. - 15
3. 1
4. - 11
5. -70
Find m
Plz I need helped
Answer:
m<QPR = 25
Step-by-step explanation:
The sum of <RPS and <QPR make up 40 so:
8x + 7 + 9x + 16 = 40
17x + 23 = 40
17x = 17
x = 1
m<QPR:
9x + 16
9(1) + 16
25
HELPPPPP PLSSSSSSSSSS PLSSSSSSSS DRFTGYHUYGTFRDCGV PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSSSSSSSSSSSSSSSSSSSSSS FRTGYHUJTRCVBJHGB ASAPP PLSSSSSSSSS NNOWWW FGHUJIKHTFVBNGB.
Answer:
B, C, and D
Step-by-step explanation:
They are both true the ones I said.
9. Which of the following fractions is equivalent to 1.68
Answer:
could you please put down the answer choices??? cant answer unless I know what fractions need to be picked
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
[tex]x = 25[/tex]
Step-by-step explanation:
The angles are vertical since they form from two lines crossing at a point and they share a same vertex.
Vertical angles are equal so
[tex]4x - 25 = 75[/tex]
[tex]4x = 100[/tex]
[tex]x = 25[/tex]
Compare the functions shown below: g(x) f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3 Using complete sentences, explain which function has the greatest y-intercept.
Answer:
3 h(x) = 4 sin(2x + π) + 3
Step-by-step explanation:
The function h(x) has a greater y-intercept
How to compare the functions?The functions are given as:
f(x) = -3x + 2 h(x) = 4 sin(2x + π) + 3Set x to 0,to calculate the y-intercepts
f(0) = -3(0) + 2 = 2
h(0) = 4 sin(2(0) + π) + 3 = 3
From the above computation, we have:
f(0) = 2
h(0)= 3
By comparison, we have:
h(0) > f(0)
This means that the function h(x) has a greater y-intercept
Read more about y-intercepts at:
https://brainly.com/question/1884491
HELP ME I WILL MARK BRAINLIEST
Answer:
The answer is 1/15
I hope it helps
plz someone tell me what 7x2 is
Answer:
14
Step-by-step explanation:
pls help me with this!
show this standard form equation in a graph
5x+y=-2
Answer:
Step-by-step explanation:
One way to do this is to find the x- and y-intercepts and to plot these:
x-intercept: Let y = 0: 5x = -2, or x = -2/5, so the x-intercept is (-2/5, 0). Plot this point.
y -intercept: Let x = 0: y = -2, so the y-intercept is (0, -2). Plot this point.
Finally, draw a line through these two points.