Answer:
TO FIND :-
Length of all missing sides.FORMULAES TO KNOW BEFORE SOLVING :-
[tex]\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}[/tex][tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex][tex]\tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}[/tex]SOLUTION :-
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x
[tex]=> \sin 16 = \frac{7}{x}[/tex]
[tex]=> \frac{7}{x} = 0.27563......[/tex]
[tex]=> x = \frac{7}{0.27563....} = 25.39568.....[/tex] ≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x
[tex]=> \sin 29 = \frac{6}{x}[/tex]
[tex]=> \frac{6}{x} = 0.48480......[/tex]
[tex]=> x = \frac{6}{0.48480....} = 12.37599.....[/tex] ≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11
[tex]=> \sin 30 = \frac{x}{11}[/tex]
[tex]=> \frac{x}{11} = 0.5[/tex]
[tex]=> x = 0.5 \times 11 = 5.5[/tex]
4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12
[tex]=> \cos 43 = \frac{x}{12}[/tex]
[tex]=> \frac{x}{12} = 0.73135......[/tex]
[tex]=> x = 12 \times 0.73135.... = 8.77624....[/tex] ≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6
[tex]=> \cos 55 = \frac{x}{6}[/tex]
[tex]=> \frac{x}{6} = 0.57357......[/tex]
[tex]=> x = 6 \times 0.57357.... = 3.44145....[/tex] ≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x
[tex]=> \cos 73 = \frac{8}{x}[/tex]
[tex]=> \frac{8}{x} = 0.29237......[/tex]
[tex]=> x = \frac{8}{0.29237.....} = 27.36242.....[/tex] ≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x
[tex]=> \tan 69 = \frac{12}{x}[/tex]
[tex]=> \frac{12}{x} = 2.60508......[/tex]
[tex]=> x = \frac{12}{2.60508....} = 4.60636....[/tex] ≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x
[tex]=> \tan 20 = \frac{11}{x}[/tex]
[tex]=> \frac{11}{x} = 0.36397......[/tex]
[tex]=> x = \frac{11}{0.36397....} =30.22225....[/tex] ≈ 30.2
Does anyone know he answers for 2 and 3? Need full work and explanations
Answer:
this is the answer of 2 and
write an expression for the calculation divide 10 in half and subtract from 50 divided into fifths.
Answer:
[tex]\frac{50}{5} - \frac{10}{1/2}[/tex]
Step-by-step explanation:
Given
a: Divide 10 in halfb: 50 divided into fifths.Required
An expression for [tex]b - a[/tex]
a: Divide 10 in half
This implies that:
[tex]a = \frac{10}{1/2}[/tex]
b: 50 divided into fifths
This implies that
[tex]b = \frac{50}{5}[/tex]
So, we have:
[tex]b - a =[/tex]
[tex]\frac{50}{5} - \frac{10}{1/2}[/tex]
A local hospital tracked the blood type and gender of the patients they saw one day. Which is a fair statement?
A)
Over half of the patients seen on an average day had blood type 0.
B)
Less than 1% of the patients seen on an average day had blood type AB.
Double the number of patients seen on an average day had blood type o
than blood type B
D
On an average day they will see about the same percentage of patients
with types A and B
Answer:
its D. on an average day they will see about the same percentage of patients with types A and B.
Edit: There are two similar question here on brainly, but two different answer, D and B. so i'm not sure
How did u get 4/3. Because I’m confused
A circular path 4 feet wide has an inner diameter of 250 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π.
The outer edge of the path is ??? feet farther around than the inner edge.
Answer:
25.13
Step-by-step explanation:
the inner circle is 1570.8 and the outer is 1595.93
Hope this helps! :)
Have a great weekend!! :)
Answer:
50.24 ft
Step-by-step explanation:
diameter = 250 ----- radius = 125 (radius of the smaller circle)
125+4 = 129 ( radius of the bigger circle)
129-125 = 4
4² x pi = 16x 3.14 = 50.24
BRAINLIEST 7TH GRADE MATH
EASY 10PTSSS
PLEASE HELP
SHOW WORK AN WILL MARK BRAINLIEST
Find the measure of angle x in the figure below:
Answer:
48
Step-by-step explanation:
180- 59- 52 = 69
Therefore,
69 + x + 63 = 180
x = 48
Thenks and mark me brainliest :)
Answer:
the answer is b=48
Step-by-step explanation:
52+y+59=180(angle on a straight line is 180)
collect like terms
y=180-59+52
y=180-111
y= 69
to look for x is equal to
69+x+63=180
collect like terms
x=180-69+63
x=180-132
x=48
so mark the briliest o
Which number has more than two factors?
A. 29
B. 19
C. 23
D. 25
Pls Answer Fast
Answer:
Step-by-step explanation:
The answer is 25 (D)
The factors of 25 are 1, 5, and 25, thus being more than two factors.
Hopes this helped!
In the isosceles trapezoid ABCD, find m
Answer:
answer C
Step-by-step explanation:
Isosceles trapezoids have the property that opposite angles are supplementary.
Here are some needed properties of isosceles trapezoids.
<C and <D are supplementary
<A = <D
<B = <C
<D + <B = 180
<D = 110 Given
110 + <B = 180 Subtract 110 from both sides..
<B = 70
C
In ΔWXY, the measure of ∠Y=90°, WY = 5, XW = 13, and YX = 12. What ratio represents the cosine of ∠X?
Answer:
The ratio of cosine X = 12 : 13
Step-by-step explanation:
Given;
∠Y=90°
length WY = 5
length XW = 13
length YX = 12
Check the image uploaded for the solution.
hypotenuse is
PLEASSE HELP QUICKLY
Answer:
x = 73
Step-by-step explanation:
A circle is 360 degrees
4x-5 + x = 360 degrees
5x - 5 = 360 degrees
5x = 365 degrees
Divide by 5
5x/5 = 365/5
x =73
Please helppppp !!$$
Step-by-step explanation:
please I'm not sure for the numbers 3 and 2.
for number 10,
2/3x -4 = 3 +5
2/3x = 8+4
2/3x = 12
2x= 12 x 3
2x = 36
x = 18
and for number 4
(y+1)/5 - (y-2)/4 = -1
to clear out the fraction, multiply throughout by 20
after multiplying, we have
4(y+1) -5(y-2)= -20
4y+4-5y+10 =-20
14 -y = -20
-y = -20 + 14
-y = -6
y = 6
Can someone help? Will give brainliest
Answer: a = 30
Step-by-step explanation: So, our first step is to subtract twelve from both sides. 3/5a = 18, divide both sides by 3/5, a = 30
How often are you required to make payments on an auto loan?
Option A Once a week.
Option B Every other week.
Option C Once a month.
Option D Every time you get a paycheck.
Answer:
C is the answer
Step-by-step explanation:
hope this helps
cos 210 is equal to
-cos 30
cos 30
-sin 30
sin 30
[tex]\huge{ \mathcal{ \underline{ Answer }}}࿐[/tex]
Cos 210° is equal to [tex]-Cos(30°)[/tex]
[tex] \#TeeNForeveR[/tex]
Can side lengths 3, 4, and 5 form a right triangle
Answer:
Yes it can! Plz the Brainliest!
Step-by-step explanation:
A right triangle is defined as a triangle with sides in the ratio 3:4:5. Pythagorean Doubles are triangles whose sides have had a ratio of the whole numbers as their sides. Even if the sides are multiplied by any number, the result is still a right triangle with sides in the ratio 3:4:5. For instance, 6, 8, and 10 are all numbers.
NEED HELP!
A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2
m and diameter 5 m at the top. Water is being pumped into the tank at a rate of 1.2 m3
/min.
Find the rate at which the water level is rising when there is 8π m3
of water
Answer:
The rate of change is
6.2 × [tex]10^{-3}[/tex] [tex]ms^{-1}[/tex] = 0.37 [tex]\frac{m}{min}[/tex]
Answer ^ ^ ^ ^ ^ ^ ^
Explanation: it broke itself
Provide the remaining principal parts for the verb below.
Present: shake
Present Participle:
Past:
Past Participle:
Find the measure of angle x in the figure below:
BRAINLIEST PLEASE HELP SHOW WORK AN WILL MAKE BRAINLY
Answer:
See attached photo!
Step-by-step explanation:
Can some one help, step bye step please
Oberon makes $13.75 an hour. He gets a 3.5% raise. What is his new hourly salary?
Answer:
$14.23
Step-by-step explanation:
Multiply the original value by 1.035 to get your answer.
Let x be the initial salary
x=13.75
Let y be the new salary
y=x+x(3.5%)
y=13.75+13.75(0.035)
y=13.75+0.48=14.23
New hourly salary=14.23$
5. A parallelogram has vertices D(-1,1) E
(2,4) F(5. 1 )G(2,-2) Which description best describes the figure? A rectangle B trapezoid, C. Square, D. Kite
Answer:
C
Step-by-step explanation:
Find the height and slant height of the cone. Round your answers to the nearest whole number.
Answer:
Height = 4 cm and slant height = 5 cm
Step-by-step explanation:
Given that,
The surface area of the cone, A = 75.4 cm²
Radius, r = 3 cm
The surface area of the cone is given by the formula as follows :
[tex]A=\pi r^2+\pi rl[/tex]
Put all the values,
[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]
Also,
[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]
Hence, the height of the cone is 4 cm and the slant height is 5 cm.
Solve for x.
2x^2 + 65 = 227
Answer:
x = ±9
Step-by-step explanation:
Isolate 2x^2 by subtracting 65 from both sides:
2x^2 = 162
Then x^2 = 81, and x = ±9
17. The present age of a father and his son is 50yrs and 20yrs respectively. How many years ago
the product of their ages was 451.
Answer:
9 yrs ago
Step-by-step explanation:
(50-x)(20-x) = 451
x^2-70x + 1000 = 451
x^2-70x + 549 = 0
(x-9)(x-61) = 0
x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)
Find the least common multiple (LCM) of 9 and 11. A. 10 B. 18 C. 99 D. 110
Answer:
99
Step-by-step explanation:
since there is no common number which divides both 9 and 11 so just multiply them.
can somebody help me on this problem please?
Answer:
c
Step-by-step explanation:
Answer:
B. 1
Step-by-step explanation:
[tex]\lim_{x \to -3} \sqrt{x^2 - 8}[/tex]
Here we have
[tex]\lim_{x \to -3} f(x)=f(x)[/tex]
Therefore
[tex]\lim_{x \to -3} \sqrt{x^2 - 8} = \lim_{x \to -3} \sqrt{(-3)^2 - 8} = \lim_{x \to -3} \sqrt{9 - 8} = \lim_{x \to -3} \sqrt{1}[/tex]
[tex]\lim_{x \to -3} \sqrt{1}= \lim_{x \to -3} 1 = 1[/tex]
-2 1/4 divided by -1 1/2
Answer: 1 1/2
Step-by-step explanation:
The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim. a. Which form of the hypotheses should be used to test the manager's claim? H 0: less than or equal to $600 H a: greater than $600 b. When H 0 cannot be rejected, can we conclude that the manager's claim is wrong? No c. When H 0 can be rejected, can we conclude that the manager's claim is wrong? Yes
Answer:
H0 : μ ≤ 600
H1 : μ > 600
B.) NO
C.) YES
Step-by-step explanation:
Here, the null hypothesis is the claim, that mean guest bill is $600 or less ; The alternative will be the opposite of the null which is the counterclaim. This ubstge accountants assertion that guest bill has been increasing
Hence,
H0 : μ ≤ 600
H1 : μ > 600
When the null cannot be rejected, that means there is no sufficient evidence to support the alternative hypothesis, Hence, we stick with the manager's claim
When H0 can be rejected, then there is sufficient evidence to support, the accountant's claim. Thus, we go with the accountant's claim and conclude that the manager is wrong.
On the image, if you scroll, there are questions and answers. I just need one example on how to get to those answers. I’m not sure how to do these types of problems. If you can help I’d appreciate it! Thank you!!
Answer:
Step-by-step explanation:
#27). 6k² = 48
k = √8 = 2√2
x = [tex]\frac{8}{2\sqrt{2} }[/tex] = 2√2 cm
y = [tex]\frac{12}{2\sqrt{2} }[/tex] = 3√2 cm
#29). 16k² = 48
k = √3
x = [tex]\frac{8}{\sqrt{3} }[/tex] = [tex]\frac{8\sqrt{3} }{3}[/tex] cm
y = [tex]\frac{12}{\sqrt{3} }[/tex] = 4√3 cm
Solve for x. Each figure is parallelogram
Answer:
-1+2x= 17
2x=18
x=9
Step-by-step explanation:
ans. 9
Answer:
its A) 9
Step-by-step explanation:
Kylie worked as an official for 45 soccer games last year. She made a graph of the number of games she worked during the first 6 months during the first 6 months of the year. How many more games did Kylie work during the first six months as shown on the graph than she did during the rest of the year?
Answer:
11 More Games.
(I did the quiz too)
Answer:
11
Step-by-step explanation:
I did this on my map test, it's right