Answer:
62 ft
i know its a late answer but i just did the test
If the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅. When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
It is given that the length of s ST is 62 feet and PS = PQ.
The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
Since the one angle in both triangles is 90° and the two sides are equal the two triangles are equal.
The ratio of the sides is equal if the triangle is congruent. As a result,
PS / PQ = RS / ST
1 = RS / ST
RS = ST
RS = 62 feet
Thus, if the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.
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Estimate the correlation coefficient that would best describe the data below.
0.4
-0.4
0.9
-0.9
Answer:
Step-by-step explanation:
Draw a line through the data points with about half of the points on one side of the line and the other half on the other side. You'll see that there is a slight positive rise in the graph as we move from left to right, but the correlation is weak. Thus, 0.4 is the correct correlation coefficient in this case.
The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.
CorrelationWhat is correlation?The statistical concept of correlation describes how closely two variables move in tandem with one another.
Types of correlation:(1) Positive correlation:The two variables are considered to have a positive correlation if they move in the same direction.When there is a complete positive correlation, the correlation coefficient is 1.(2) Negative correlation:We say there is a negative correlation between the variables when the 'y' variable tends to decrease as the 'x' variable increases.(3) No correlation:We claim there is no correlation between the two variables when there is no obvious connection between them.Description for the graph:As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.
But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.
Therefore, the given graph shows positive weak correlation with value 0.4.
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Someone help plsssss
Mrs . Garrett has 24 students in her class , if 14 students are girls , what is the ratio of girls to the total number of students in her class ?
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
396
Step-by-step explanation:
the volume of a rectangular is calculated as V=l×w×h
l=11, w=12, h=3
V=11×12×3
V= 396
find the center of a circle with the equation: x^2+y^2-32x-60y+1122=0
A. (24, 30)
B. (13, 20)
C. (14, 28)
D. (16, 30)
Answer:
-32x-60y+1122=0
-(32x+60y-1122)=0
32x+60y-1122=0
by factorize
Answer:
24,30
Step-by-step explanation:
What does 2x+1=3x-4 equal?
Answer:
5
Step-by-step explanation:
2x + 1 = 3x - 4
-2x -2x
--------------------
1 = x - 4
+4 +4
----------------
5 = x
The answer is 5.
Hope this helped.
A school has a square courtyard and wants to create diagonal walkways. The length of each side
of the courtyard is 36 yards. Approximately how long is each walkway?
Answer:
51 Yards
Step-by-step explanation:
Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem ([tex]A^{2}[/tex] + [tex]B^{2}[/tex] =[tex]C^{2}[/tex] ) to solve.
[tex]36^{2}[/tex]+[tex]36^{2}[/tex]= [tex]C^{2}[/tex]
1296+1296= 2592
√2592= 50.911
50.911 rounds up to 51
The length of each walkway would be,
⇒ 51 yards
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
A school has a square courtyard and wants to create diagonal walkways.
Here, The length of each side of the courtyard is 36 yards.
Now, The length of each walkway would be,
⇒ √ 36² + 36²
⇒ √ 1296 + 1296
⇒ √ 2592
⇒ 50.91
⇒ 51 yards
Thus, The length of each walkway would be,
⇒ 51 yards
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find the volume of a cylinder if the radius is 8cm and the height is 15cm?
Answer:
3015.92894745 cm^3
Step-by-step explanation:
Formula for volume of cylinder(v)= πr^2h
Here,
r=8 cm
h=15cm
Now,
V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3
[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Step-by-step explanation:
tujh vitamin ve j hhhjuhhujuhhggggggggggggAnswer:
The answer is C 93.6
Step-by-step explanation:
The volume of a triangular prism: [tex](\frac{base*height}{2} ) * height of the prism[/tex]
so
[tex]\frac{(8)*(3.9)}{2} *4 = 93.6[/tex]
math is a bummer bro
Answer:
alr let's start
one clock 12 hrs => 360 °
so 1hr=> 30°
now visualise clock with struck 8
between 12 and 8 from smaller angle we get that there are 4 hrs in between so
4 × 30 = 120°
done Dana done done
Answer:
ANGLE=120°
SEE THE IMAGE FOR SOLUTION
1. 42.78 + 19.56
2. 0.0997 + 1.4
3. $62.74 + $1.75 + $12
4. 40.75 – 17. 46
5. 0.95 – 0.68
6. $60 - $31.74
7. 5.4 x 0.07
8. 5.9 x 1.2
9. 0.24 ÷ 0.8
10. 6.56 ÷ 4
1. - 62.34
2. - 1.4997
3. - $76.49
4. - 23.29
5. - 0.27
6. - $28.26
7. - 0.378
8. - 7.08
9. - 0.3
10. - 1.64
Answer:
1. 62.34
2. 1.4997
3. $76.49
4. 23.29
5. 0.27
6. $28.26
7. 0.378
8. 7.08
9. 0.3
10. 1.64
Condition for increasing decreasing and concavity of function
Answer:
If the concavity of f changes at a point (c,f(c)), then f′ is changing from increasing to decreasing (or, decreasing to increasing) at x=c. That means that the sign of f″ is changing from positive to negative (or, negative to positive) at x=c. This leads to the following theorem
Step-by-step explanation:
The previous section showed how the first derivative of a function, f′ , can relay important information about f . We now apply the same technique to f′ itself, and learn what this tells us about f . The key to studying f′ is to consider its derivative, namely f′′ , which is the second derivative of f . When f′′>0 , f′ is increasing. When f′′<0 , f′ is decreasing. f′ has relative maxima and minima where f′′=0 or is undefined. This section explores how knowing information about f′′
Let f be differentiable on an interval I . The graph of f is concave up on I if f′ is increasing. The graph of f is concave down on I if f′ is decreasing. If f′ is constant then the graph of f is said to have no concavity.
Note: We often state that " f is concave up" instead of "the graph of f is concave up" for simplicity.
The graph of a function f is concave up when f′ is increasing. That means as one looks at a concave up graph from left to right, the slopes of the tangent lines will be increasing. Consider Figure 3.4.1 , where a concave up graph is shown along with some tangent lines. Notice how the tangent line on the left is steep, downward, corresponding to a small value of f′ . On the right, the tangent line is steep, upward, corresponding to a large value of f′ .
I need help finding y
to solve for y, we must multiply by t on both side to get ride of the t in the denominator. By doing this, we will get:
[tex] {t}^{3} [/tex]
on the right side.
Subtracting 3, and we have successfully isolated y.
It would be impossible to get a quantitative value for y if we don't know the value of t.
respuesta listsdafddfssdffd
Geometry, please answer question ASAP
Answer:
m∠C = 108°
Step-by-step explanation:
The sum of the interior angles of a pentagon is 540°. Divide this sum by the number of angles to find the degrees of each one:
540/5 = 108
Answer:
A) 108 degrees
Step-by-step explanation:
regular pentagon means all the inside angles of the pentagon are the same
to find the inside angles of any polygon you can use the formula:
180(n-2)/n=a
where n is number of sides
a is the measure of one of its interior angles
pentagon has 5 sides
= 180((5)-2)/5
=180(3)/5
=540/5
=108
each angle of the regular pentagon is 108 degrees
measure of angle C is 108
What is the completely factored form of the expression 16x2 + 8x + 32?
4(4x2 + 2x + 8)
4(12x2 + 4x + 28)
8(2x2 + x + 4)
8x(8x2 + x + 24)
(IM ON EDGE)
A is the answer to your question
To solve this, just distribute the 4 to each of the coefficient and see if it would result in the same coefficients in the original expression
hdndnndndndndnndndndndnbd
Answer:
Hshushahhahaa
Hdhddjkddjdkjd
One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the
third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer:
[tex]102\textdegree[/tex]
Step-by-step explanation:
If we let the measure of the smallest angle be [tex]x[/tex], then we know that the measure of the angle that is three times as large as it is [tex]3*x=3x[/tex] and the measure of the angle that is [tex]10\textdegree[/tex] larger than it is [tex]x+10[/tex].
Because the sum of the measures of the interior angles in a triangle is [tex]180\textdegree[/tex], we can write the following equation to solve for [tex]x[/tex]:
[tex]x+3x+x+10=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+3x+x+10=180[/tex]
[tex]5x+10=180[/tex] (Combine like terms)
[tex]5x=170[/tex] (Subtract [tex]10[/tex] from both sides of the equation to isolate [tex]x[/tex], Simplify)
[tex]x=34\textdegree[/tex]
Therefore, the measures of the other angles are [tex]3x = 3 * 34=102\textdegree[/tex] and [tex]34+10=44\textdegree[/tex]. Since [tex]102>44>34[/tex], the measure of the largest angle will be [tex]\bf102\textdegree[/tex]. Hope this helps!
[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]
Answer:
x = 4
Step-by-step explanation:
1/5x + 4/5 = 8/5
Multiply each side by 5 to get rid of the fractions
5(1/5x + 4/5) = 8/5 *5
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
Graph the relation shown in the table. Is the relation a function? Why or why not?
Answer:
Not a function fails the vertical line test
Step-by-step explanation:
This is not a function. The value of x = -1 goes to two different values of y
This would fail the vertical line test
Answer:
the first one
Step-by-step explanation:
use the vertical line test. the horizontal line would intersect at two points.
PLEASE HELP I WILL MARK YOU BRAINLIEST IF CORRECT
Sure, I will help you. The answer you are looking for is x=11.
Solution/Explanation:
Write out the equation:
3(x+5)=5x-7
Using the Distributive Property on the LEFT SIDE,
3x+15=5x-7
Next, subtracting 3x from both sides,
3x-3x+15=5x-3x-7
15=2x-7, or 2x-7=15
2x-7=15
Now, adding seven to both sides,
2x-7+7=15+7
2x=22
Finally, dividing both sides by 2,
So, therefore the final answer is x=11. And, also, the next step would be written as 3x+15=5x-7, as stated above, preliminarily.
I hope this helped you find your answer. Enjoy your day, and take care!
The answer you are looking for is 3x+15=5x-7. But, the answer is x=11.
What is the value of x in the figure below? In this diagram, ABD ~ CAD.
A. 16/5
B. 16
C. √160
D. √5
E. 8
F. 25/4
Answer:
F an amazing result.
Step-by-step explanation:
I'm sure I didn't do this the way it was intended, but I think I got it right.
First of all, we have to agree that CAB is marked as a right angle. If you do not agree, leave a note.
Step One
Find the length of AC
BC = 16
AB = 10
AC^2 = BC^2 - AB^2
AC^2 = 16^2 - 10^2
AC^2 = 256 - 100
AC^2 = 156
AC = SQRT(156)
AC = SQRT(4*13 * 3)
AC = 2 SQRT(13)
Step Two
Find the height (AD)
There are two ways to find the area of the large triangle ABC
Area = 1/2 * 16 * AD and
Area = 1/2 AC * 10 The two legs.
Since these areas must be equal, equate them. You are looking for AD
16 * AD = 2*sqrt(39) * 10 Divide by 16
AD = 20* sqrt(39)/16
AD = 5 * sqrt(39) / 4
Step 3
Find x or DB
DB^2 = 10^2 - [(5 *sqrt(39)/4]^2
DB^2 = 100 - 25*39/16
DB^2 = 100 - 60.9375
DB^2 = 39.0625
DB = SQRT(39.0625)
DB = 6 1/4
6 1/4 is the same thing as 25/6 which is F
Answer:
F. 25/4
Step-by-step explanation:
just took the quiz
which of the following is a quotient of the rational expressions shown here?
Answer:
x^2+x
--------
x-1
Step-by-step explanation:
x 1
------ ÷ --------
x-1 x+1
Copy dot flip
x x+ 1
------ * --------
x-1 1
x(x+1)
-------
x-1
x^2+x
--------
x-1
Arrange the terms of each polynomial so that the powers of X are in descending order. Please help
Answer:
you use the FOIL method
Step-by-step explanation:
First
Inner
Outer
Last
you just distribute the numbers to all of the others then simplify.
ex.
(x+4)^2
(x+4)(x+4)
x^2+4x+4x+16
x^2+8x+16
in this, x times x is x^2. then x times 4 is 4x and 4 times x is 4x and 4 times 4 is 16. then combine like terms
5. Simplify: 2/5 +3/7+(-6/5)+ (-13/7)
Answer: -78 / 35
Step-by-step explanation:
Given
2/5 + 3/7 + (-6/5) + (-13/7)
Combine terms that have the same denominator
= 2/5 + (-6/5) + 3/7 + (-13/7)
= -4/5 - 10/7
Convert denominator by Least Common Multiple (LCM)
= (-4 × 7) / (5 × 7) - (10 × 5) / (7 × 5)
= -28/35 - 50/35
= -78 / 35
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex] \frac{2}{5} + \frac{3}{7} + ( - \frac{6}{5} ) + ( - \frac{13}{7} ) \\ \frac{2}{5} + \frac{3}{7} - \frac{6}{5} - \frac{13}{7} \\ ( \frac{2}{5} - \frac{6}{5} ) + ( \frac{3}{7} - \frac{13}{7} ) \\ \frac{2 - 6}{5} + \frac{3 - 13}{7} \\ \frac{ - 4}{5} + \frac{ - 10}{7} \\ \frac{ - 4}{5} - \frac{10}{7} \\ \frac{ - 28 - 50}{35} \\ \frac{ - 78}{35} \\ - \frac{78}{35} [/tex]
An adult blue whale can eat 4.0 x 107 krill in a
day. At that rate, how many krill can an adult
blue whale eat in 1.45 x 102 days?
If a = 4 -√15, find a^4 + 1/a^4
Please answer this question with correct steps. I will mark brainliest
Answer:
Hello,
3842
Step-by-step explanation:
[tex]a=4-\sqrt{15} \\\\\dfrac{1}{a} =\dfrac{1}{4-\sqrt{15}} \\\\=\dfrac{4+\sqrt{15}}{(4-\sqrt{15})*(4+\sqrt{15})}\\\\=\dfrac{4+\sqrt{15}}{16-15} \\\\=4+\sqrt{15}\\\\[/tex]
[tex]a+\dfrac{1}{a} =4-\sqrt{15}+4+\sqrt{15}=8\\\\[/tex]
[tex](a+\dfrac{1}{a} )^2=a^2+\dfrac{1}{a^2} +2\\\\a^2+\dfrac{1}{a^2} =8^2-2=62\\[/tex]
[tex](a+\dfrac{1}{a} )^3=a^3+\dfrac{1}{a^3} +3*\dfrac{a^2}{a} +3*\dfrac{a}{a^2} \\\\8^3=a^3+\dfrac{1}{a^3} +3(a+\dfrac{1}{a} )\\\\a^3+\dfrac{1}{a^3} =8^3-3*8=488\\[/tex]
[tex](a+\dfrac{1}{a} )^4=a^4+\dfrac{1}{a^4} +4*\dfrac{a^3}{a} +6*\dfrac{a^2}{a^2} +4*\dfrac{a}{a^3}\\\\a^4+\dfrac{1}{a^4}=(a+\dfrac{1}{a} )^4-4*a^2-4*\dfrac{1}{a^2} -6\\a^4+\dfrac{1}{a^4} =8^4-4*62-6\\\\=4096-248-6\\\\=3842\\\boxed{a^4+\dfrac{1}{a^4} =3842}\\[/tex]
Using a calculator:
[tex]a=4-\sqrt{15}=0,1270166537925831148207346002176....\\\\a^4= 2,6028112122495108436170792979303e-4\\\\\dfrac{1}{a} =4+\sqrt{15} =7,8729833462074168851792653997824...\\\\\dfrac{1}{a^4}=3841,9997397188787750489156382921....\\\\a^4+\dfrac{1}{a^4} \\\\= 2,6028112122495108436170792979303e-4+3841,9997397188787750489156382921....\\\\=3842\\[/tex]
Chapter 9-4 composition of isometrics (anyone pls help me TwT)
Both answers are "translation" which is the same as up/down/left/right shifting.
Refer to the diagram below to see how the reflections combine to form this shifting. A composition of two reflections always leads to a translation whenever the mirror lines are parallel. The direction of the shifting is perpendicular to the parallel lines. If the mirror lines intersected, then we'd have a rotation instead.
I used GeoGebra to create the diagram.
For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?
Answer:
[tex]\displaystyle k = \frac{5}{6}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]
And we want to find the value of k such that the equation has two real and equivalent roots.
Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:
If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.First, rewrite our equation:
[tex](2k+1)x^2 -8x + 6 =0[/tex]
The discriminant is given by:
[tex]\displaystyle \Delta = b^2 -4ac[/tex]
In this case, b = -8, a = (2k + 1), and c = 6.
Therefore, the discriminant is given by:
[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]
For it to have two equal roots, the discriminant must be zero. Hence:
[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]
Hence, the value of k is 5/6.
Michelle gets10rewards points for each of her purchases at Starbucks. With 500 rewards points, she can get a free smoothie. If she has 370 points saved, how many purchases will it take her to get her free smoothie?
she needs 130 points saved up
Answer:
13
Step-by-step explanation:
I need help ASAP!!! PLEASE EXPLAIN ANSWER
Answer:
351.9
Step-by-step explanation:
Surface Area of cylinder = 2πrh+2πr^2
2π(4)(10) + 2π(4)^2
= 351.9
answered by g a u t h m a t h