Answers
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
Answer:
r = 5
Step-by-step explanation:
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)The sides of a triangle are opposite their angles. Therefore, in ΔPQR:
⇒ side r is opposite angle R
⇒ side p is opposite angle P
⇒ side q is opposite angle Q
Using the given ratio of sin Q:
[tex]\sf \implies \sin Q=\dfrac{q}{H}=\dfrac{2}{5}[/tex]
Substitute the given value of q = 6 and solve for H:
[tex]\sf \implies \dfrac{6}{H}=\dfrac{2}{5}[/tex]
[tex]\sf \implies H=6 \cdot\dfrac{5}{2}[/tex]
[tex]\sf \implies H=15[/tex]
Using the given ratio of sin R:
[tex]\implies \sf \sin R=\dfrac{r}{H}=\dfrac{1}{3}[/tex]
Substitute the found value of H and solve for r:
[tex]\implies \sf \dfrac{r}{15}=\dfrac{1}{3}[/tex]
[tex]\implies \sf r=15 \cdot\dfrac{1}{3}[/tex]
[tex]\implies \sf r=5[/tex]
Learn more about trigonometric ratios here:
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Related Questions
test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick
Answers
The test of validity is used to determine whether a claim is true or not, based on certain condition(s).
The validity of the given statement is true.
From the question, the given condition is:
Whenever he participates in a race, he is the winner
This can be interpreted as follows:
He wins all races he participates in.He doesn't win a race he doesn't participate in.So, if he is sick; it means that he does not participate in the race and as such he is not the winner.
Hence, the validity of the following statement is true
"Either he participates in the race or he is sick he is not the winner, therefore he is sick."
Read more about test of validity at
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If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answers
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride?
Answers
Answer:
$2.20
Explanation:
For every mile $0.20 is charged
The base fee is $2.00
If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00
2.00 + 0.20 = 2.20
One year, an athlete won a gold medal with a long jump of some
meters. Several years later, another athlete won a gold medal with a
long jump of 7.12 meters. The second jump was 0.13 meters longer
than the first. How long was the first jump? Write an equation
and solve.
Answers
Answer:
6.99 meters
Step-by-step explanation:
For this we have to use subtraction:
So if the second jump was .13 meters longer then the first and we know the second jump was 7.12 meters, we have to subtract 7.12 by .13 to get the length of his/her's first long jump. So our equation is 7.12-.13=length of first jump. So we end up getting 6.99=length of first jump.
Hope this helps! :D
What is the answer for all of them
Answers
4/3: 1.3 (put a line over the 3 since it’s repeating) and 130%
7/12: 0.583 (put line over 3) and 58.3%
10/9: 1.1 (put line over the second 1) and 110%
I need help on this problem expand 2-x(x+6)
(This is distributive property)
Answers
Answer:
2-x^2-6x
Step-by-step explanation:
2-x(x+6)
2-x^2-6c
Which equation is represented by the graph?
Answers
Answer:
y = -|x + 1| - 4
Step-by-step explanation:
Find the present balance.
Below is Elizabeth Hallett's bank statement. Her previous balance was $271.31 What is her present balance?
Answers
[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]
[tex]\\ \rm\longmapsto 231.80+345.85[/tex]
[tex]\\ \rm\longmapsto 577.65[/tex]
Debited amount:-[tex]\\ \rm\longmapsto 25.85+2.00[/tex]
[tex]\\ \rm\longmapsto 27.85[/tex]
Checked amount:-[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]
[tex]\\ \rm\longmapsto 117+19.45[/tex]
[tex]\\ \rm\longmapsto 136.45[/tex]
Total change in balance[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]
[tex]\\ \rm\longmapsto 577.65-191.3[/tex]
[tex]\\ \rm\longmapsto 386.35[/tex]
Now
Current balance[tex]\\ \rm\longmapsto 386.35+271.31[/tex]
[tex]\\ \rm\longmapsto\$ 657.66[/tex]
Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answers
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
4(2(-2)+3(3)-2(4.2)
......
Answers
[IMAGE ATTACHED]
I don’t understand this please help.
Answers
You know that the whole angle should be 180 since a straight line has an angle of 180 degrees.
55+90= 145
180-145=35
Set (9r-1)° equal to 35 and you should get r=4
Simplify. 3√-28
A 2i√7
B 12i√7
C 61√7
D -6i√7
Answers
Answer:
C
Step-by-step explanation:
We want to simplify the expression:
[tex]\displaystyle 3 \sqrt{-28}[/tex]
Rewrite:
[tex]\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}[/tex]
Rewrite:
[tex]\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}[/tex]
Simplify. Let i = √(-1). Hence:
[tex]\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}[/tex]
Multiply:
[tex]\displaystyle = 6i\sqrt{7}[/tex]
In conclusion, our answer is C.
The point that is 7 units to the left of the y-axis and 5 units above the x-axis
Answers
Answer:
(-7, 5)
Step-by-step explanation:
Answer:
(-7,5)
Step-by-step explanation:
have a nice day
2/3-5/6what is 2 / 3 - 5 / 6
Answers
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]
[tex] = \frac{ - 1}{6} [/tex] ✅
Three years back, afather was 24 years older than his son at present the father is 5 times as old as the son how old will the son be three years from now?
Answers
Answer:
Let current age of father be x and current age of his son be y.
So 3 years ago, difference between their age was 24.
Therefore equation becomes
(x-3)-(y-3) = 24.
x - y = 24.
At present father is 5 times as old as son.
x = 5y.
Therefore 5y - y = 24.
y = 6.
Current age of son is 6 years. So after three years he will be 9 years old.
Step-by-step explanation:
Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.
Answers
Answer:
i believe its 1512mm
Step-by-step explanation:
56mm x 27mm
Taylor and Anya live 36 miles apart.On Some Saturdays.They ride theirs Bikes toward each other's houses and meet somewhere in between. Taylor is very Consistent rider she finds that her speed is always close to 12.5 miles per hour.Anya rides more slowly than Taylor, but she is working out and is becoming a faster rider as the weeks go by.On a Saturday in July, the two friends set out on their bikes at 8 a.m.Taylor rides at 12.5 per hour and Anya rides at 5.5 miles per hour.After one hour, how far apart are they? Show your work and Explain your Answer.
At What Time will the two friends meet?How do you know? Show your Work and Explain your Answer.
Answers
Answer:
Taylor and Anya will meet at 10:00 a.m.
Step-by-step explanation:
If Taylor rides at 12.5 mph (miles per hour), and Anya rides at 5.5 mph (miles per hour), then we need to combine these ratios to see how far apart they will be in one hour.
12.5 mph + 5.5 mph = 18 miles
Therefore, after an hour, Anya and Taylor are 18 miles apart.
Since there houses are 36 miles apart, and 18 x 2 = 36, then we can infer that it will take two hours, two times the time it took for them to finish halfway of their journey, for them to meet.
8:00 a.m. + 2 hours = 10:00 a.m.
Therefore, Taylor and Anya will meet at 10:00 a.m.
Find the measure of the missing angle.
124 degrees
117 degrees
106 degrees
127 degrees
Answers
Answer:
measure of missing angle is 127°
Step-by-step explanation:
let the missing angle be'x'
53°+x=180°{ straight angle }x=180-53x=127°hope it helps.stay safe healthy and happy...Answer:
The missing angle is 124°.
Step-by-step explanation:
Let the missing angle be x°.
53° + x° = 180° ( straight angle )
x° = 180° - 53°
x° = 137°
Hope it is helpful.....This is the answer but can someone do the work plss??
Answers
I need to know the answer to this question
Answers
Answer: c. y= 2x -3
Step-by-step explanation:
Slope Intercept Form: y= mx +b
m=slope
b= y intercept
the slope is 2 because the line "rises" 2 times and "runs" 1 time
rise/run
2/1
m=2
the y intercept is where the line crosses the (vertical) y-axis
on this graph the line crosses at (0,-3), therefore
b= -3
plug into Slope Intercept Form:
y= mx +b
y= 2x-3
Find the midpoint of the segment with the given endpoints.
(-7, -9) and (-2,7)
Answers
Answer:
(-9/2,-1)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from
the original number, an answer will be obtained consisting of the same digits arranged in a different order
still. What is the other digit?
Answers
Answer:
1
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Two have been used so the answer must be one of 59n, n95, 9n5 and 5n9
I will show one wrong and then the correct answer
95n - n59 = 5n9
950 + n - 100n - 59 = 509 + 10n
891 - 99n = 509 + 10n
382 = 109n
n = 382/109 wrong
95n - n59 = n95
950 + n - 100n - 59 = 100n + 95
891 - 99n = 100n + 95
796 = 199n
n = 796/199 = 4
So 954 - 459 = 495
The other digit is 4
1+1×5−6+8×(4+4)−62
Find the ans here
Answers
Answer:
2
Step-by-step explanation:
1+1×5−6+8×(4+4)−62 =
1+1x5-6+8x(8)-62 =
1+5-6+64-62 =
2
Hope this helps! :)
–
5z2–7z2
Simplified
Answers
Answer:
-12z^2
Brainliest, please!
Step-by-step explanation:
-5z^2 - 7z^2 = -12z^2
3. The cost(P) in Ghana Ghana Cedis, of producing n items is given by the formula, P=3/4n + 1800. a. Find the cost of producing 2000 items il formulas.
Answers
Answer:
3300
Step-by-step explanation:
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
cost of producing 2000 items =3300
Solution:-
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
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a recipe which yields 5 serving calls for 2 cups of milk. how many cups of milk are needed to make 9 servings?
Answers
Answer:
3.6 cups of milk
Step-by-step explanation:
Create a proportion where x is the number of cups of milk needed for 9 servings:
[tex]\frac{5}{2}[/tex] = [tex]\frac{9}{x}[/tex]
Cross multiply and solve for x:
5x = 18
x = 3.6
So, 3.6 cups of milk are needed to make 9 servings.
Miguel made 6 1/2 gallons of chill for a party. His guest ate 4 3/16 gallons. How many gallons of chill were left?
Answers
Answer:
2 5/16
Step-by-step explanation:
step by step instructions are in pic below
WILL GIVE BRAINLIEST!!
find x
5x-3(x-8)=2x-4
Answers
Answer:
no solution
Step-by-step explanation:
5x-3(x-8)=2x-4
Distribute
5x -3x+24 = 2x-4
Combine like terms
2x +24 = 2x-4
Subtract 2x from each side
2x+24-2x = 2x-4-2x
24 = -4
This is not a true statement so there is no solution
Answer:
No Solution
Step-by-step explanation:
5x-3(x-8)=2x-4
1) Distribute:
5x -3x+24 = 2x-4
2) Simplify:
2x +24 = 2x-4
3) Subtract 2x from both sides
2x+24-2x = 2x-4-2x
We are now left with (after simplifying): 24 = -4
**NO SOLUTION!**
What is a rational number between -1/5 and -2/5?
Answers
Answer:
-1/4
Step-by-step explanation:
-0.25
ANSWER QUICK PLS!
if the actual distance from San Antonio to Houston is approximately 188 miles use the length of the line segments indicated in the figure along with the similar triangles to approximate.
a: The actual distance from Dallas to Houston = _ miles
b: The actual distance from Dallas to San Antonio = _ miles
Answers
9514 1404 393
Answer:
a) 235 mi
b) 259 mi
Step-by-step explanation:
The scale factor from the map to the real world is apparently ...
(SA-H actual)/(SA-H map) = (188 mi)/(3 in) = 62 2/3 mi/in
Then the actual distance from Dallas to Houston is ...
(3.75 in)(62 2/3 mi/in) = 235 mi
And from Dallas to San Antonio, the distance is ...
(4.125 in)(62 2/3 mi/in) = 258.5 mi ≈ 259 mi