Answers
Step-by-step explanation:
24.
AC = 12 = cos(angle) × AB = cos(angle) × 13
imagine a circle with center in A and radius 13.
that is why we can say AC = cos(angle) × radius, and BC = sin(angle) × radius.
cos(angle) = 12/13 = 0.923076923...
angle = 22.61986495...°
so, B is the right answer.
25.
we have a right-angled triangle.
from the point in the ground, where the ladder starts, to the point on the wall, where the ladder ends, and the point on the ground right under the wall point.
at this ground point there is the right angle.
at the ladder ground point we have 70°.
so, the angle at ladder/wall point is
180 - 90 - 70 = 20°.
remember, the sum of all angles in a triangle is always 180°.
the ladder itself (20 ft) is the Hypotenuse (the baseline opposite of the 90° angle).
the height of the ladder/wall point is one leg (and what we need to calculate), and the ground distance from the ladder/ground point to the point right under the ladder/wall point is the second leg.
we can use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being always opposite of the associated angles.
so, we have
20/sin(90) = 20/1 = 20 = height/sin(70)
height = 20×sin(70) = 18.79385242... ft
so, D is the right answer.
Related Questions
Look at the image below.
7
5
4
What is the area of the triangle?
Answers
Step-by-step explanation:
the area of a triangle is always
baseline × height / 2
where baseline and height are perpendicular (with a 90° angle) to each other.
it does not matter, if the height is inside or outside of the triangle.
so, in our case the area is
4×5/2 = 2×5 = 10 units²
The area of the triangle given in the figure is 10 units².
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given a triangle.
The formula to find the area of the triangle is,
Area = 1/2 × base × height
Base = 4 units
Height = 5 units
Area of the triangle = 1/2 × 4 × 5
= 10 units²
Hence the area of the triangle is 10 units².
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What is the number sentence for "1 less than N is the sum of Z and
2"?
Answers
Answer:
N–1=Z+2 should be the solution.
HELPPPPPPPPP MEEEE PLEASEEEEEE
Answers
Answer:
525 ml
Step-by-step explanation:
7 + 4 = 11 ml
825 ml ÷ 11 ml = 75 units for 1 part ( or A or B ) of drug
75 × 7 ml = 525 ml of part A
and
75 × 4 = 300 ml of part B
Denice made 9 identical bags using 4 yards of fabric. How much fabric did denice use for each bag
Answers
Answer:
Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.
Step-by-step explanation:
First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.
-15x+12
what is the answer
Answers
Answer:
If you need to factor this equation the answer is =3(-5x+4)
Step-by-step explanation:
-15x+12
-15/3 = -5
3/12 = 4
= 3(-5x+4)
Select the correct answer.
1
Which number is the additive inverse of –10 1/4
O A.
0
Ang
OB.
10 1/4
oc. 4/41
OD. -4 1/10
Reset
Answers
Answer:
The additive inverse of the number -10 1/4 is +41/4
The additive inverse of any number is such a number added to the given number to get zero.
Let the additive inverse of the given number be "x", hence:
-10 1/4 + x = 0
x = 0 - (-10 1/4)
x = 10 1/4
x = 41/4
Hence the additive inverse of the number -10 1/4 is +41/4
A few years ago, Simon Powell purchased a home for $200,000. Today, the home is worth $350,000. His remaining mortgage balance is $150,000. Assuming that Simon can borrow up to 80 percent of the market value, what is the maximum amount he can currently borrow against his home?
Answers
The maximum amount Simon Powell can borrow against his home is $130,000.
How to calculate the maximum amount that can be borrowed against a homeThe maximum amount Simon Powell can borrow against his home can be calculated using the following formula:
Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)
Substituting all the relevant values into equation (1), we have:
Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000
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Answer for points I know the answer
Answers
Answer: 2.2 inches
Step-by-step explanation:
Explanation:
The data counts by intervals of 0.25, beginning at 2. The mode, or the value that occurs the most in this series, would be 2.25 because the question asks which amount of growth is the most common.
of the prism below is a
square with a circular hole in it.
Work out the volume of the prism.
Give your answer to 3 s.f.
5 cm
6 cm
The cross-section
13 cm
Answers
Answer:
704 cm³
Step-by-step explanation:
Things to understand :
The 3D figure removed by making a circular hole through the prism is a cylinder. The original shape was a rectangular prism.Volume of the prism is equal to the difference between the volume of the rectangular prism and cylinder.Solving :
Volume (prism) = Volume (rectangular prism) - Volume (cylinder)
Volume = LWH - πr²h
Volume = 5 x 13 x 13 - π x 3² x 5
Volume = 845 - π x 45
Volume = 845 - 141.3
Volume = 704 cm³
[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]
Step-by-step explanation:
Information about diagram- The diagram is a square prism with a circular hole in it.
Given:
length of prism (a) = 13cm
height of prism (h) = 5 cm
diameter of circle(d) = 6 cm
To find:
Volume of prism =?
Solution:
Formula that would be used,
[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]
[tex] \sf volume \: of \: cylinder = \pi {r}^{2} h[/tex]
Let's calculate the overall volume of prism,
Volume of prism(including volume of hole) V = a²h
[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]
To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.
[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]
now calculate the volume of circular hole inside the prism,
Volume of circular hole(cylindrical shape) v= πr²h
[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]
The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)
[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]
Answer - Volume of prism is 703.7 cm³
[tex] \small \sf Thanks \: for \: joining \: brainly \: community![/tex]
please help me fast as you can
Answers
(i) 47 * 1 = 47
Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w
(ii) 135 * 0 = 0
Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.
(iii) 3 * 5 = 5 * 3
Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication
(iv) 7 + 0 = 7
Why? The Zero Property of Addition states that 0 added to any number x is equal to x
(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500
Why? The Distributive Property states that a * c - a * b = a * (c - b).
Find the location of G, the midpoint of FH.
Answers
The coordinate of G is (3,6.5).
What is Section Formula?
When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.
The Coordinate of F is (1, 7)
The Coordinate of H is (5,6)
Since G is the midpoint. So, it divides the line FH in 1:1 part
Let coordinates of G be (x, y)
Now using Section Formula,
[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]
x= 3 and y = 6.5
Hence the coordinate of G is (3,6.5)
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If a graph of y=-9x + 3 were changed to a graph of y=-9x + 1, how would the
y-intercept change?
A. The y-intercept of the new graph would shift up 2 units.
B. The y-intercept of the new graph would shift down 2 units.
C. More information is needed to determine the change.
D. The y-intercept would remain the same.
Answers
Answer:
B I think..................................
Is 12 , 7 , 2 , -3 ... an arithmetic sequence ?
Answers
Answer:
Yes, you subtract 5 every time
Find the lateral area of the prism.
11cm
4cm
4cm
Answers
Answer:
120 cm squared
Step-by-step explanation:
1.the bases in this case are in blue,these are not included in lateral surface area.
first we must find the area of the top & bottom squares.
(4x4=16)
Then the side rectangles
(11x4=44)
then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.
now that we have all our measurements we can add these numbers
88+32=120 cm squared
(-2) +[(-13) +4]=[(-2) +(13) ]+4
Answers
In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
OA. 19
B. 28
O
C. 32
D. 33
Answers
On the Moon, an astronaut will have______mass and________.
weight as on Earth
A. 1/6th the, the same
B. the same, 1/6th the
C. 1/6th the, 1/6th the
D. the same, the same
Answers
Answer:
B
Step-by-step explanation:
Answer:
D. Because the same answer
Step-by-step explanation:
Use Pythagorean Theorem to solve for x. Show all work. Keep all answers in simplified
radical form.
Answers
Step-by-step explanation:
a^2 +b^2 = c^2
8^2 +4^2= c^2
64 + 16= c^2
80= c^2
take square root of both sides and you get
c=8.94
- On her first three quizzes Jenna averaged 8 correct answers. On the next two quizzes she averaged 9 correct answers. What decimal number shows Jenna's average score on all five quizzes?
Answers
Answer:
8.4
Step-by-step explanation:
Add 8+8+8+9+9=42 then 42/5 equals 8.4
Hope this helps! ;-)
please answer this question
Answers
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = p and y = -q
Step-by-step explanation:
To findThe value of x and y
Givenpx + qy = p² - q²(equation 1)
qx - py = 2py
Solution{Taking equation 2}
[tex] \sf qx - py = 2py[/tex]
{Taking py on RHS}
[tex] \sf qx = 2py \ + py [/tex]
{Dividing both sides by q
[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]
{Now substituting the value of equation 3 in equation 1}
[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]
{Taking 2p² on RHS and taking LCM on LHS}
[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]
{Dividing (p² + q²) both sides}
[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]
{Now using value of y in equation 3}
[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]
A scale drawn on the map shows that 1 inch represents 20 miles. If two cities
are 2.5 inches apart on the map, what is the distance between them in real
life?
O A. 50 miles
O B. 20 miles
O C. 40 miles
D. 30 miles
Answers
Answer:
50 miles
Step-by-step explanation:
20 multiplied by 2.5 = 50
Ibehdhdsxydithdkydlgsits
Answers
160
Step-by-step explanation:
Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!
• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs
Type of Ball
Numerical Expression for the Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Mainly need the last part (Numerical Expression for the Number of Balls)
Answers
Answer:
8 futballs
basketballs 18
beisballs 36
softballs 24
Step-by-step explanation:
dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18
cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36
seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24
LISTO
which of the follow r-values represents the no or low coorelation
Answers
The r-value that represents the no or low correlation is 0.0
How to determine the r-value?For a r value to show no correlation, then the r value must be 0 or close to 0
Since the r values are not given, then we can assume that the r value is 0
Hence, the r-value that represents the no or low correlation is 0.0
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The probability that an international flight leaving the United States is delayed in departure in (event D) is .27. The probability of an international flight leaving the United States is a transpacific flight (event P) is .58. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.
(Q) What is the probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight?
Answers
The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241
How to determine the probability?The given parameters are:
P(D) = 0.27
P(P) =0.58
P(D and P) = 0.14
The required probability is then calculated using:
P(D | P) = P(D and P)/P(P)
This gives
P(D | P) = 0.14/0.58
Evaluate
P(D | P) = 0241
Hence, the required probability is 0.241
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I have this question and I can’t figure it out.
Answers
Answer:
-1. 7,-1,0,2,-2
Step-by-step explanation:
Intergers are from negative to positive numbers
help will mark Brainliest!!
Answers
Answer:
A. (h+(h-2) =14)...
I hope this is right! And go on your test! :)
Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso
Answers
The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0
2 3
Probability .17
.13
.33 .16 .11
.10
Find the probability that x ≤ 0
Answers
Answer:
[tex]P(x\leq 0)=0.37[/tex]
Step-by-step explanation:
[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]
Answer: 0.79
Step-by-step explanation:
ABC School has 150 students enrolled who do not speak English. It is also known that 6/7 of the students can recognize all 26 letters. How many students still needs to learn the entire alphabet? Type your answer to the nearest whole number.
Answers
Answer:
about 21 students
Step-by-step explanation:
total students: 150 students enrolled
recognize all letters: 6/7 of the students
To find 1/7 of the students: divided the 150 by 7
150/7 = 21.4285 this is for 1/7th of students
since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)
OR
150/7 = 21.4285 this is for 1/7th of students
150/7 x 6 = 128.57 this is for 6/7th of students
150 - 128.57 = 21.4285