In ΔRST, sin T = 1/5, m∠R = 30, and r = 15. What is the length of t?
Answer:
t = 6Step-by-step explanation:
Given ΔRST with:
sin ∠T = 1/5m ∠R = 30°r = 15t = ?Solution
We know t is opposite ∠T and r is opposite ∠R.
Use the law of sines to find the missing value of t.
r / sin ∠R = t / sin ∠TSubstitute the known values and solve for t:
15 / sin (30°) = t / (1/5)15 / (1/2) = 5t30 = 5tt = 30/5t = 6Answer:
t = 6
Step-by-step explanation:
In ΔRST:
Angle R is opposite side r.Angle S is opposite side s.Angle T is opposite side t.Sine Rule
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Given:
sin T = ¹/₅R = 30°r = 15Substitute the given values into the Sine Rule formula and solve for t:
[tex]\implies \sf \dfrac{r}{\sin R}=\dfrac{s}{\sin S}=\dfrac{t}{\sin T}[/tex]
[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=\dfrac{t}{\frac{1}{5}}[/tex]
[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=5t[/tex]
[tex]\implies \sf t=\dfrac{15}{5 \sin 30^{\circ}}[/tex]
[tex]\implies \sf t=\dfrac{15}{5 \cdot \frac{1}{2}}[/tex]
[tex]\implies \sf t=\dfrac{15}{\frac{5}{2}}[/tex]
[tex]\implies \sf t=15 \cdot \dfrac{2}{5}[/tex]
[tex]\implies \sf t=\dfrac{30}{5}[/tex]
[tex]\implies \sf t=6[/tex]
Learn more about the Sine Rule here:
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The question is in the screenshot. PLEASE I NEED QUICK
56
its mutiplying by 4
The saucer for Aisha's teacup has a diameter of 6 inches. What is the saucer's radius?
Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.
Answer:
0.9 inches
Step-by-step explanation:
The sides of right triangles follow the Pythagorean Theorem:
a² + b² = c²
"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.
Let's plug in what we know.
a² + b² = c²
(1.2)² + b² = (1.5)²
Let's solve the exponents.
1.44 + b² = 2.25
Subtract 1.44 from both sides.
b² = 0.81
Take the square root of both sides.
√b² = √0.81
b = 0.9
The second side will be 0.9 inches.
I’m getting 9.8 not sure what I’m doing wrong
Answer: 10
Step-by-step explanation:
it says round to nearest 10 your answer was 9.8 so round to 10.
hope this helps :)
what is the third term of an arithmetic sequence whose second term is 7 and whose sixth term is 23
Answer: 11
Step-by-step explanation:
Given
The second term of an AP is 7
The sixth term of an AP is 23
Suppose a and d be the first term and common difference of the sequence
[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]
Subtract the above equations
[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]
Put d in equation (i)
[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]
So, the third term of the AP is [tex]a+2d[/tex]
[tex]\Rightarrow 3+2\times 4=11[/tex]
2 in
Ben uses clay to make the rectangular prism to the left. Naomi
uses cardboard to make the triangular prism to the right. Compare
the volumes of the prisms. Use pencil and paper. Describe two
(The figures are not to scale) different methods by which you can compare the volumes.
11 in
5 in
in
18 in
5 in
Which statement best compares the volumes of the two prisms?
O A. Naomi's prism has the greater volume.
OB. Ben's prism has the greater volume.
OC. The prisms have the same volume.
Answer:
A
Step-by-step explanation:
Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Ben uses clay to make the rectangular prism to the left.
Volume of rectangular prism = (length x width x height)
= 11 x 5 x 2
= 110 cubic in
Naomi uses cardboard to make the triangular prism to the right.
The volume of a right triangular prism = ( height× Base Area)
= 4 x 18 x 4
= 288 cubic in
Therefore, Naomi's prism has a greater volume.
Learn more about rectangular prism;
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Brenda has $450 in her checking
account. She withdraws $15 a day for
lunch. Which equation can be used to
find
y, the total in Brenda's checking
account, if x represents the number of
days she bought lunch?
A. y = 450x + 15
B. y = 450 + 15x
C. y = 450 - 15x
D. y = 450x - 15
Need H
Answer:
the answer is B.450 +15x
Answer:
B
Step-by-step explanation:
Find the volume of the pyramid. 5 ft 2 ft 2 ft
Answer:
v=6.6667
Step-by-step explanation:
[tex]V=L*W*H/3[/tex]
[tex]V=20/3[/tex]
[tex]V=6.6667[/tex]
Hope this helps :)
A recipe from Sally’s "Chocoholic’s Cookbook" requires 70\frac{1}{6} grams of chocolate for each chocolate fudge cake. How many grams of chocolate would she need if she made one chocolate cake for each of her 12 closest friends?
Answer:
842 grams
Step-by-step explanation:
[tex]70\frac{1}{6} =\frac{421}{6}[/tex]
[tex]\frac{421}{6} *12\\\\842[/tex]
One cake consists of 421/6 grams of chocolate.
Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.
To make 12 cakes, she needs 842 grams of chocolate.
You want to install a 1-yd walk around a circular swimming pool. The diameter of the pool is 20 yd. What is the area of the walk?
Answer:
Area=π*r*r
π=3.14
3.14*20*20=1256
PLEASE HELP ILL GIVE BRAINEST
if two ratios are equal they form a ____
Answer:
proportion
Step-by-step explanation:
LINKS WILL GET REPORTED NEED HELP PLS
Answer:
Median
Step-by-step explanation:
You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)
What is 4 5/7 + 4 1/4
Answer:
8 27/28 or 251/28
Step-by-step explanation:
Find common denominators then simply add.
can y'all help this math question
Step-by-step explanation:
SA= 2(5×11)+(5×12)+(11×12)
SA= 2(55+60+132)
SA= 2(247)
SA= 494cm^2
Solve: -19<3x-4<5
(Graphs are in the image)
Answer: B (−5 < x < 3)
Steps
−19 < 3x − 4 < 5
−19 < 3x − 4 and 3x − 4 < 5
x > −5 and x < 3
−5 < x < 3
Number Line
−19 < 3x − 4 < 5 : Solution: − 5 < x < 3
[ Interval Notation: (−5, 3)]
If a < u < b then a < u and u < b
−19 < 3x − 4 : x > −5
3x − 4 < 5 : x < 3
Combine the intervals
Merge Overlapping Intervals
And that equals=
−5 < x < 3
Work out
m
and
c
for the line:
y
=
9
x
Answer:
Find answers below.
Step-by-step explanation:
The equation isn't explicitly stated or well written. Thus, we would assume two (2) case scenario for the equation of line by altering the signs.
Scenario 1;
y = 9 + x
Mathematically, the equation of a line is given by the formula;
Equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Comparing the two equations, we have;
y = mx + c = 9 + x
Constant, c = 9
Slope, m = 1
Scenario 2.
y = 9 - x
y = mx + c = 9 - x
Constant, c = 9
Slope, m = -1
Which degree measure is the best estimate for the measure of ∠LJF?
100° ,
90°,
43° ,
75°
Answer:
43°
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
what is 16 1/2 as a decimal and fraction?
Answer:
16 1/2 as a decimal is 16.5.
We convert it to an improper fraction which, in this case, is 33/2 and then we divide the new numerator (33) by the denominator to get our answer.
Answer:
16.5% and 16.5
Step-by-step explanation:
Solve each equation.
a.(8.5) ⋅ (- 3) = a
b.(- 7) + b = (-11)
c.c - (- 3) = 15
d.d⋅ (-4) = 32
Find the length of the third side. If necessary, round to the nearest
tenth.
Answer:
7.5
Step-by-step explanation:
Using pythagoras theorem
Sqrt(9^2-5^2)=7.483
Question
Translate the phrase into an algebraic expression, the ratio of 4p and 7y,
Provide your answer below:
9514 1404 393
Answer:
(4p)/(7y)
Step-by-step explanation:
The ratio of 4p to 7y is another way of saying the quotient of (4p) and (7y).
[tex]\boxed{\dfrac{4p}{7y}}[/tex]
Can anyone tell me how to do this? Step by step
Step-by-step explanation:
f(x)=x^2-4x-9
g(x)=-3x-5
so when f(g(x)) that x is a number
-3x-5 equals the number in f(x) so that x is -3x-5
f(-3x-5) and if f(x)=x^2-4x-9
then inserting in -3x-5 for x in f(x) and distrubute
(-3x-5)^2-4(-3x-5)-9
9x^2+42x+36
I hope that helps :)
Answer:
9x^2 + 42x + 16
Step-by-step explanation:
f(g(x))
Plug in the expression for g(x)
f(g(x)) = f(-3x - 5)
f(x) = x^2 - 4x - 9
For every x in f(x) replace it with -3x - 5
f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9
Expand
f(-3x - 5) = (9x^2 + 30x + 25) + (12x + 20) - 9
Combine like terms
f(-3x - 5) = 9x^2 + 42x + 16
f(g(x)) = 9x^2 + 42x + 16
Two numbers total 31 and have a difference of 9. Find the two numbers.
Answer:
20, 11
Step-by-step explanation:
x=first Number
x-9=second number
above two added together=31 or
x+(x-9)=31
2x=40
x=20 first number
x-9=second number
20-9=11 second number
20 (first number) + 11 (second number)=31
31=31
PLEASE ANSWER IN THE SCREENSHOT. I WILL MARK BRAINLYEST
can yall help and stop ignoring me plz i need help i have 10 min left!
Answer:
The mean score would decrease more than the median score
Step-by-step explanation:
3. If 2(x + 3) = x + 10, then x equals
Your answer
Answer:
x = 4
Step-by-step explanation:
Distribute 2 to the parentheses:
2(x + 3) = x + 10
2x + 6 = x + 10
Subtract x from both sides:
x + 6 = 10
Subtract 6 from both sides:
x = 4
So, x = 4
Answer: x = 4
Step-by-step explanation:
[tex]F(x)=3x^{2} +4x-6G(x) =6x^{2} -5x^{2} -2[/tex]
Answer:
74
Step-by-step explanation:
In the following equation, which part is the difference?
200 - 150 = 50
200
50
150
9514 1404 393
Answer:
50
Step-by-step explanation:
The attachment shows the vocabulary associated with a subtraction equation.
In your equation, the difference is 50.
Help! Cant figure out math question!