Answers
Given:
In a right angle triangle,
Length of legs are x and 7.
Length of hypotenuse = y
Measure of angle between leg 7 and hypotenuse = 33 degrees.
To find:
The value of x and y.
Solution:
In a right angle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]
[tex]7\times \tan (33^\circ)=x[/tex]
[tex]7\times 0.6494=x[/tex]
[tex]4.5458=x[/tex]
Approximate the value to the nearest tenth.
[tex]x\approx 4.5[/tex]
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]
[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]
[tex]y=\dfrac{7}{0.83867}[/tex]
[tex]y=8.34655[/tex]
Approximate the value to the nearest tenth.
[tex]y\approx 8.3[/tex]
Therefore, the correct option is D.
Related Questions
find the slant height of a cone whose height is 15 cm and whose radius is 8 cm
Answers
Answer:
Right circular cone
Solve for slant height
l=17cm
r Radius
8
cm
h Height
what is the volume of the composite figure page 512 chapter 11 4
Answers
si tengo 6 burros regalo 3 y me dan 3 cuanto tengo
Answers
Answer:
6
Step-by-step explanation:
(6-3)+3=6
What would be x please help me
Answers
Answer:
[tex]18.83[/tex]
Step-by-step explanation:
For right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan 33^{\circ}=\frac{x}{29},\\x=29\tan 33^{\circ}\approx \boxed{18.83}[/tex]
Need help with this question ♀️
Answers
Answer: f (t) = 200 . 0.88t =
Let's solve for f.
ft=(200)(0.88)t
Step 1: Divide both sides by t.
ft
t
=
176t
t
f=176
Answer:
f=176
Step-by-step explanation:
math question????????
Answers
Answer:
Answer C
Step-by-step explanation:
Answer:
answer c
Step-by-step explanation:
trust me
Solve for c.
a(c+b) = d
Answers
Answer:
c = (d/a) - b
Step-by-step explanation:
a(c + b) = d
Divide both sides by a
c + b = d/a
subtract b from both sides
c = (d/a) - b
Aliyah had $54 to spend on 5 bracelets. After buying them she had $4. How much did each bracelet cost? Each bracelet costs Question Blank type your answer... dollars.
Answers
Frosting Mountain cupcake shop is running low on vanilla. They have 2 cups of vanilla left and each batch of cupcakes needs 1 4 of a cup. How many batches of cupcakes can they make before they run out of vanilla?
Answers
Answer:0.143
Step-by-step explanation:
A group of students are surveyed about which movie they prefer.
movie a :14
movie b : 9
movie c : 5
movie d : 3
What is the probability that a student prefers Movie A?
Answers
The following data values represent a population. What is the variance of the
values?
6, 10, 14,2
A. 16
B. 8
C. 10
D.20
Answers
Answer:
D is the correct answer.......
What is the coefficient in this equation? 140 - 6 = 28
Answers
Answer:
There is none there is no variable.
Step-by-step explanation:
Hope this helps!!
Answer:
there is no co efficient a co efficient is the constant before the variable when its attached.
Helen rented a kayak at the lake there is a charge of $6 as an initial fee and then $3 an hour for every hour that she uses the kayak if the total charge is $21 how many hours did she kayak
Answers
Answer:
Helen kayaked for five hours.
Step-by-step explanation: First subtract the initial fee ($6.00) from the total charge ($21), $21 - $6 = $15. Now, divide the $15 she was charged for kayaking by $3 (because it costs 3 bucks an hour to kayak plus the 6 buck initial fee.) 15 divided by 3 = 5. So she kayaked for 5 hours.
IM just a little bit slow
Answers
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
x = 4
∠R = 71°
Step-by-step explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
[tex]31 - 3x + 19x - 5 = 90[/tex]
To make this problem easier to solve, we can combine like terms.
[tex]26 + 16x = 90.[/tex]
Now, we can proceed.
First, subtract 26 from 26 and 90.
[tex]26 - 26 = 0.[/tex] (cancels itself out).
[tex]90 - 26 = 64.\\[/tex]
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
[tex]64/16 = 4[/tex]
Therefore, the value of x is 4.
-------------------------------------------------------------------------------------------------------------
Now that we have the value of x, we can use this value to replace the variable (x).
[tex]19x - 5[/tex]
[tex]19 * 4 - 5 = 71.[/tex]
Therefore, the value of ∠R is 71°.
find 3/5% of $90,000
Answers
to find a percentage of something, you multiply the percentage and the number, so
60% x 90000 = 54,000
A family on vacation drove a total round-trip distance of 735.75 miles. They traveled
for 7 hours in one direction and 6.5 hours on the return trip. What was their average
speed for the entire trip?
Answers
Answer:
speed = 54.5 miles/hr
Step-by-step explanation:
speed = distance/time
distaance = 735.75
time = 7 + 6.5 = 13.5
speed = 735.75 / 13.5
speed = 54.5 miles/hr
Help me out please ???
Answers
9514 1404 393
Answer:
(1, 2)
Step-by-step explanation:
PR and QR are vertical and horizontal line segments, respectively. Then ΔQPR is a right triangle, and segment PQ is the hypotenuse. As such, segment PQ is also a diameter of the circumcircle, and its midpoint is the circumcenter.
Circumcenter = (P+Q)/2 = ((4, 0) +(-2, 4))/2 = (2, 4)/2
Circumcenter = (1, 2)
10 gallons to 24 gallons Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a percent if necessary.
Answers
Answer:
140%
Step-by-step explanation:
Which expression has a value of 7/12?
1. 2 1/12 + 5 1/12
2. 6/8 + 1/4
3. 1/3 + 1/4
4. 7/8 + 4
Answers
Answer: 3. 1/3 + 1/4
Step-by-step explanation:
1/3 = 4/12
1/4 = 3/12
4/12 + 3/12 = 7/12
How many solutions does the equation y + 3y - 6 = -2 + 4y + 4 have?
A. One solution
B. no solution
C. infinite solutions
Answers
[tex]\huge{ \mathrm{ \underline{question : }}}[/tex]
How many solutions does the equation have ?
y + 3y - 6 = -2 + 4y + 4
[tex]\huge{ \mathcal{ \underline{ Answer \: \: ✓ }}}[/tex]
The given equation has
[tex] \\ \\ \\ \\ \\[/tex]
B. [tex]\boxed{No \: \: solution}[/tex]
[tex]\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\[/tex]
[tex]\#TeeNForeveR[/tex]
The summer in Maine is hot and sunny. identify the negation of the given proposition.Multiple ChoiceThe summer in Maine is hot but not sunny.It is not the case that the summer in Maine is not hot or it is not sunny.The summer in Maine is either not hot or it is not sunny.The summer in Maine is not hot but sunny.
Answers
Answer:
The summer in Maine is either not hot or it is not sunny.
Step-by-step explanation:
Suppose we have two events, A and B.
The negation of A and B is not A or not B.
The summer in Maine is hot and sunny.
Negation of hot an sunny is not hot or not sunny, so the correct option is:
The summer in Maine is either not hot or it is not sunny.
A ladder that is 15 feet long is leaning against the side of a building. If the angle formed between the ladder and the ground is 70 degrees, how far is the bottom of the ladder from the building?
Answers
Answer:
need help too
Step-by-step explanation:
Answer:
5.13 feet...take the horizontal component using given data..
The graph of a proportional relationship and an equation are shown.
What is the greater unit rate?
Answers
Answer:
Graph has the greater unit rate.
Step-by-step explanation:
From the graph attached,
Since, graph shows the proportional relationship,
y ∝ x
y = kx
Here, k = unit rate
If the line given in the graph passes through (0.2, 1.5)
Slope of this line will be,
k = [tex]\frac{1.5}{0.2}[/tex]
k = 7.5
Therefore, unit rate = 7.5
Equation of the line given in the question is,
[tex]y=\frac{11}{2}x+3[/tex]
Comparing this equation with the y-intercept form of the equation,
[tex]y=mx+b[/tex]
Slope of this line 'm' = [tex]\frac{11}{2}[/tex]
= 5.5
Unit rate of the given equation = 5.5
Therefore, graph has the greater unit rate.
Jason completed 1 crosswords on Tuesday and 1 crosswords on Saturday
in total what fraction of these crosswords did Jason finish?
Answers
The question is incomplete as the total number I crosswords required for completion isn't given :
Hypothetically, if the total Number of cross words is taken as x ;
Answer:
2 /x
Step-by-step explanation:
The number of crosswords John did = 1 + 1 = 2
Total number of cross words = x
Fraction of crosswords John did :
2 / total number of crosswords
2 / x
Kindly substitute the actual number of crosswords for X to obtain exact answer.
Show how you use the additive inverse to solve the following.
1. 8-9= 8 + (-9) =
2. +5 - (+14) =
4. -10 - (-9) =
3. -23 - (+10)-(-4) =
6. 16 - (+16) =
5. (+17)-(-20) -(+12) =
8. 5-(+7) -(-8)-3-(-6) =
7. - 200-(-120) -- 25 =
10.-18+ (-22) - (-31) =
9. 53-(-17) + (-6) =
Answers
Answer:
1.8-9=8+(-9)=?
2.+5-(14)= -9
3. -10-(-9)= -1
6.16-(+16)= 0
5.(+17)-(-20)-(12)= 25
8.5-(+7)-(-8)-3-(6)=9
7.-200-(-120)-25=105
10.-18+(-22)-(-31)=9
9.53-(-17)+(-6)=64
that's my answer
Find the measure of each angle indicated (quadrilaterals)
Answers
Answer:
The Solar System is the gravitationally bound system of the Sun and the objects that orbit it, either directly or indirectly. Of the objects that orbit the Sun directly, the largest are the eight planets, with the remainder being smaller objects, the dwarf planets and small Solar System bodies.
Step-by-step explanation:
Answer:
its 75
parallel angle degrees always should be 360
if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number
Answers
9514 1404 393
Answer:
900
Step-by-step explanation:
Let x represent the number. The given relationship is ...
(3/5)x = 2 +(2/3)x
-2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides
-30 = x . . . . . . . . . . multiply by 15
Then the square of the number is ...
x² = (-30)² = 900
just need a bit of help
Answers
Answer:
35A) arc AC = 360-(100+110+80)=
360-290 = 70°
35B) L D = ½× 70 = 35°
35C) L AEC = ½(100+70)=½×170= 85°
35D) L P = ½(100-70) = ½×30 = 15°
URGENT... please help
Answers
Find the derivative of y=2x^2-3x+1 and the slope of the curve at the point where x=3
Answers
The slope of the tangent line to y(x) at any given x is equal to the derivative dy/dx at that point. Differentiate to get
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{4x-3}[/tex]
and evaluate it at x = 3 to get the slope, 4•3 - 3 = 9.