(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.
sin(56°) = (300 m)/y → y = (300 m)/sin(56°)
The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,
x/sin(26°) = y/sin(30°) → x = sin(26°)/sin(30°) y ≈ 317.2627 m
(b) No, the field is not long enough.
Students in a poetry class are writing poems for their portfolios. The teacher wants them to write stanzas with certain numbers of lines each. Lucy wrote 9 short stanzas and 9 long stanzas, for a total of 198 lines. Quincy wrote 9 short stanzas and 6 long stanzas, for a total of 156 lines. How many lines do the two sizes of stanzas contain?
Answer:
x = 8
y = 14
the short stanzas contain 8 lines
the long stanzas contain 14 lines
Step-by-step explanation:
lets call the short stanzas x
and the long stanzas y
using given information, you can make this equation
9x + 9y = 198
you can also make this equation
9x + 6y = 156
simplify the first equation
9x + 9y = 198
9x = 198 - 9y
x = 198/9 - y
x = 22 - y
substitute x for 22 - y in the second equation to find y
9(22 - y) + 6y = 156
198 - 9y + 6y = 156
-9y + 6y = -42
-3y = -42
y = 14
substitute y for 14 in the first equation to find x
9x + 9y = 198
9x + 9*14 = 198
9x + 126 = 198
9x = 198-126
9x = 72
x = 72/9
x = 8
What value(s) of x make the equation x2 - 18x + 81 = 0 true?
9
-9, 9
0, 9
0, -9, 9
Answer:
the answer is 9
Step-by-step explanation:
just took a test about it
Answer:
A. 9
Step-by-step explanation:
100% correct on edge
please mark brainliest:)
Your uncle gives you $10 and you save $2 a week. The expression 10 + 2w gives the amount you save after w weeks. How many terms are in the expression What is the coefficient in the expression
Answer:
2 terms
Step-by-step explanation:
Step one:
given data
we are told that your uncle gives you $10 and you save $2 a week
the expression for the situation is
let the total be y
[tex]y=10 + 2w[/tex]
From the expression, there are two terms
the first term is the constant term which is 10
while the second term is 2w, the coefficient is 2
help pleaseee I really need this done
Can someone please help me with this
Answer:
90
Step-by-step explanation:
times 15 and 6 maybe
SOMEONE DO NUMBER 1 FOR ME IM RUSHING. GIVING BRAINLIEST!!
Answer:
Step-by-step explanation:
Mixed number Improper fraction
a) 1 + 1 + 1/3 = [tex]2\frac{1}{3}[/tex] 7/3
b) 1 + 1 + 1 + 5/8 = [tex]3\frac{5}{8}[/tex] 29/8
c) 1 + 1 + 1 +2/4 = [tex]3\frac{2}{4}[/tex] 14/4
Solve the following equation for g.
Rg=m+h^2g
Answer:
G=m/r-h^2
Step-by-step explanation:
move all the terms to the left side and set equal to zero. Then set each factor equal to zero. Hope this helps!
Which graph represents a function
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
what is the answer to this?
Answer:
Well in a standard equation you have y=mx + b Mx is the slope and b is the y-intercept So take a shot and solve it now!What statement is true about a function
Answer:
d is the answer ok :)
Step-by-step explanation:
y=4x + 1 what is the value of x=5 ?
Answer:
21
Step-by-step explanation:
Y=4x+1
y=4(5)+1
substitute and solve
Answer
21
Step-by-step explanation:
Ms. Franco bought her daughter a new scooter. The scooter cost $40.00. Sales tax was
7.5%. What was the total price Ms. Franco paid for the scooter? ASAP please
Answer: $43.00
Step-by-step explanation:
40.00 + 40.00 ÷ 100 × 7.5 = 43.00
What is the solution for −40 = 10c?
A. c = 1
B. C = -1
C. c = -4
D. c = 4
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
Use the variable b for the unknown number.
Answer: b - 9 = 7.
Step-by-step explanation:
*
Select the expression that is equivalent to 5/8.
O
5=8
O 8-5
O 8-5
0 5-8
Answer:
The right answer isnt there
Step-by-step explanation:
The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA
Evaluate the following expressions if x=3.
Please help me with this brainly
Answer:
A. 2^x = 2^3 = 2*2*2 = 8
B. x^2 = 3^2 = 3*3 = 9
C. 1^x = 1^3 = 1*1*1 = 1
D. x^1 = 3^1 = 3
E. [tex](\frac{1}{2})^x = (\frac{1}{2})^3 = (\frac{1}{2})(\frac{1}{2})(\frac{1}{2})=\frac{1}{8}[/tex]
Pls answer this question with explanation
Answer:
345°
Step-by-step explanation:
If a circle is 360° you would then have to take 15° away from 360° and get the answer of 345°
whats the area of 1.6m, 1.2m and 1.4m?
Answer:
= 2.1 meters
Step-by-step explanation:
MATHH WHIZZES PLZZZ HELPPPPP!!!!!
Answer:
$7.40
Step-by-step explanation:
785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40
Answer:
$7.40
Step-by-step explanation:
If y = x + 5 and y = 11, then x = what?
Answer:
6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
y(11)= x + 5
-5 -5
6= x or x = 6
Hope this helps!!
4e^2x=5
X approximately = ?
Answer:
5 = 5
Explanation:
Write and solve an equation to find the missing value
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
Plz help me on this :))
what is the geometric mean of 4 and 49
14
Step-by-step explanation:
4 × 49 =196
The square root of 196 is 14
hope it helps!
Please help with these problems..
at least one.
Answer:
4(5q-8), q=6
4(5(6)-8)=
4(30-8)=
4(22)=
88
r+(-8)/2. r=12
12+(-8)/2=
4/2=
=2
(11b+4)/9. b=7
(11(7)+4)/9=
(77+4)/9=
(81)/9=
9
Step-by-step explanation:
14 dollars for 4 books
Answer:
ur question
Step-by-step explanation:
dunno
The equation 4(-2u+7) is solved in several steps below. For each step, choose the reason that best justifies it. Answer choices are: addition property of equality, subtraction property of equality, multiplication prop., division prop., simplifying, and distributive property
Answer:
Find the solution belowStep-by-step explanation:
The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44
Given the expression
4 (-2u + 7) = 44
Step 1: Open the bracket by distributing 4 over -2u and 7
4 (-2u + 7)= 44
4(-2u) + 4(7) = 44 (distributive property)
-8u + 28 = 44
Step 2: Subtract 28 from both sides
-8u + 28 - 28 = 44 - 28 (subtraction property of equality)
-8u = 16
Step 3: Divide both sides by -8
-8u/-8 = 16/-8 (division property)
u = -2
Answer: A
The addition property of equality and then the division property of equality
Step-by-step explanation:
just did the quiz