Answer:
First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Let's take two triangles that are similar:
Taking two triangles:
[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]
If
[tex]\angle A \displaystyle \cong \angle P[/tex]
and
[tex]\angle C \displaystyle \cong \angle R[/tex]
Then,
[tex]{\triangle ABC \sim \triangle PQR[/tex]
It is Angle-Angle (or AA) Theorem.
It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.
If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation:
There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the
number of brooms to the number of mops?
O A.
MIN
0110
OC.
O D.
nim
SURA
Answer:
i believe it is A because 6/2=3, 4/2=2, which gives the ratio 3/2.
Step-by-step explanation:
The ratio of the number of brooms to the number of mops is 3:2.
What is Ratio?In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."
We have,
Number of brooms= 6
Number of mops= 4
So, the ratio of the number of brooms to the number of mops
= 6/4
=3/2
Thus, the required ratio is 3:2.
Learn more about Ratio here:
https://brainly.com/question/13419413
#SPJ7
What is the solution to the system of equations?
2x - y = 7
y = 2x + 3
• (2, 3)
• (2.7)
• no solution
• infinite number of solutions
Answer:
no solution
Step-by-step explanation:
2x-y=7. value of y=2x+3
(insert the value of y in the first equation)
2x-(2x+3)=7
2x-2x=7-3
(2x-2x is non-existent thus the equation ends there)
Answer:
No Solution is the answer
Step-by-step explanation:
There is no way to solve this
Lance is tracking the progress of his plant's growth. Today the plant is
5 cm high. The plant grows 1.5 cm per day. Which equation below
represents the height of the plant (h) after d days?
Answer:
h = 5 + 1.5d
Step-by-step explanation:
If the diagonal distance covered by the stairs pictured is 25 feet, and the horizontal distance is 15 feet, what is the height of the stairs? Round your answer to the nearest foot if necessary
25 feet
22 feet
400 feet
20 feet
Answer: 20 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the diagonal distance covered by the stairs) and a (horizontal distance) and b (vertical distance) are the other sides.
Replacing with the values given:
25^2 = 15^2 + b^2
625 = 225 + b^2
625-225 = b^2
400= b^2
√400 =b
b =20 feet
Feel free to ask for more if needed or if you did not understand something.
Answer: 20 feet
Step-by-step explanation:
From the question, the diagonal distance covered by the stairs is 25 feet, and the horizontal distance is 15 feet. To calculate the height of the stairs, we will use the Pythagoras rule
The square of the diagonal will be equal to the addition of the square of the horizontal distance and the square of the height. This will be:
25² = 15² + height²
height² = 25² - 15²
height² = 625 - 225
height² = 400
height = ✓400
height = 20 feet
The height of the stairs is 20 feet
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
A. 2
B. 3
C. 6
D. 9
Answer:
C. 6
Step-by-step explanation:
Answer:
A. 2
Step-by-step explanation:
slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.
in this question, they have given you both the difference in x and difference in y.
therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]
[tex]\frac{6}{3}[/tex]= 2
therefore, the correct slope value is A. 2
Under the Objective Theory of Contacts, the Reasonable Person Select one: a. May determine the existence of a contract if there is a dispute. b. May determine the terms of a contract if there is a dispute. c. Both of the above. d. Neither of the above.
Answer:
ayo this was posted the day after my birthday
Step-by-step explanation:
Also why u here during summer?
The answer is C though, its explaing it very well
Dominique is buying water. She needs 2 liters. A half-liter of water costs $2.46. A 250-milliliter container of water costs $1.48. What should Dominique buy so she gets 2 liters at the lowest price? Explain.
Answer:
[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]
Step-by-step explanation:
Dominique wants to buy [tex]2[/tex] liters of water.
Case 1:
A half-liter of water costs [tex]2.46[/tex].
The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:
[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]
=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $
Case 2:
A quarter-liter of water costs [tex]1.48[/tex].
The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:
[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]
=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $
Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.
=> She should buy the water, in which a half-liter of water costs $[tex]2.46[/tex]
Hope this helps!
:)
if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p = 0 are equal.
Answer:
first 0ne
Step-by-step explanation:
does anyone know the answer to this ?
Step-by-step explanation:
The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.
Please answer the question stated below
Answer:
$252
Step-by-step explanation:
We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.
Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.
$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.
280-28 is $252. This is the final price she will pay.
help please~!!! how many solutions does the equation 4y − 4y − 12 = 14 − 2 have? thanks! <3 first question will be marked as brainiest <3
Answer:
No solutions
Step-by-step explanation:
The 4y and the -4y will always cancel each other out. This leaves us with
-12 = 14-2
or
-12 = 12
which is never true
In a sequence, the first term is 4 and the common
difference is 3. The fifth term of this sequence is
1) -11
2) -8
3) 16
4) 19
Answer:
16
Step-by-step explanation:
Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.
An = A+(n-1)d
This shows that: A5 = 4+ 4(3) = 16.
Fifth term of the arithmetic sequence is 16.
What is arithmetic sequence?"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."
Given
First term a1 = 4
Common difference d = 3
n = 5
Formula to find fifth term in the arithmetic sequence
[tex]a_{5} = a_{1} +(n-1)d[/tex]
[tex]a_{5}= 4+(5-1)3[/tex]
[tex]a_{5}= 4+(4)3[/tex]
[tex]a_{5}= 4+12[/tex]
[tex]a_{5}= 16[/tex]
Hence, fifth term of the arithmetic sequence is 16.
Learn more about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ2
Evaluate this expression
Answer:
0
Step-by-step explanation:
2(a+3)/b
Let a=-3 and b=2
2(-3+3) / 2
2(0)/2
0/2
0
Answer:
0
Step-by-step explanation:
We are given the expression:
2(a+3)/b
We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.
2(-3+3)/2
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.
Solve inside the parentheses first. Add -3 and 3.
2(0)/2
Multiply 2 and 0.
0/2
Divide 0 by 2
0
PLZ HELPP
Which expressions will help you find the surface area of this right triangular prism? Select all that apply.
11 × 3
1/2 × 3 × 5
4 × 11
5 × 11
Answer:
Select:
11 x 3
4 x 11
5 x 11
Step-by-step explanation:
Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)
Therefore, the formulas we will need to use are:
1) for one of the rectangular faces = 11 x 3
2) for another rectangular face = 5 x 11
3) for the third rectangular face = 4 x 11
4) for each of the triangular bases = [tex]\frac{1}{2}\, base\,*\,height=\frac{1}{2}\,*4\,*\,3[/tex]
Therefore only three formula expressions need to be selected from the given list.
Explain why an atom has no overall charge
Answer:because they contain an equal amount of positive protons and negative electrons
Step-by-step explanation:
Please help me with the question below
Answer:
A
Step-by-step explanation:
Find the volume of the tank but dont use the height of the tank instead use the height of the water in the tank
Tank is cuboid in shape thus:
Volume=length xwidthxheight
=60in×24in×3in
=4320 cubic inches
note:height is the same as depth
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
if the sample does not come from a normally distributed population?
mu >= 30
x >= 30
n>= 30
N>= 30
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Answer:
It's C.
Step-by-step explanation:
I took the test
If the radius of a cone is 3 cm and a height of the Cone is 8 cm what is the surface area
Answer:
24
Step-by-step explanation:
if the radius is 3 cm and the height is 8 cm we would multiply3 x 8 = 24so the answer is 24A grocery store has 45% of its carts being used. Which ratio compares the used carts with all the carts that the store has? A. 10:100 B. 45:55 C. 55:100 D. 9:20
Answer:
D
Step-by-step explanation:
45%=[tex]\frac{45}{100}[/tex]
[tex]\frac{45}{100}[/tex] is equal to [tex]\frac{9}{20}[/tex]
so D
HOPE THIS HELPS
Answer: 9:20
Step-by-step explanation:
45% if carts used from the 100%
Ratio will be 45:100 = 9:20
If y is the number of yellow cars which variable expression represents the phrase below? The sum of the number of yellow cars and 9 red cars
Answer:
D. y+9
Step-by-step explanation:
Variable y is the number of yellow cars. There are 9 red cars.
So, find the sum, which means we will add y and 9. (We don't know the number of yellow cars)
Answer: y+9
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
A
Step-by-step explanation:
15:60
Simplify the ratio.
15/15:60/15
1:4
Answer:
1:4
Step-by-step explanation:
The answer is 1:4 because 15:60 simplified is 1:4
The radius of a circle is 5 feet. What is the circumference?
Give the exact answer in simplest form.
feet
What is the area of parallelogram ABCD?
А
B
4
3
2
16 square units
20 square units
24 square units
25 square units
1
-5 -4 -3 -2 -1,D1 2
3 4 5C
-2
-3
Answer:
20 square units
Step-by-step explanation:
Given,
CD is the base and BD is the height of the given parallelogram.
The attachment of the parallelogram has been attached.
base = CD
length of base CD = 5 - 1 = 4
∴ base= 4 units
height = BD
length of height BD = 5
∴ height = 5 units
Area of parallelogram = base × height
∴ Area = 4 × 5 = 20 square units
Answer:
20
Step-by-step explanation:
Are (3x + 1)(x + 2) and 3x2 + 7x + 2 equivalent?
Answer:
Yes.
Step-by-step explanation:
(3x + 1)(x + 2)
= 3x^2 + 6x + x + 2
= 3x^2 + 7x + 2.
Find x, y and z to the nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
This is an example of the Altitude - on - Hypotenuse theorem.
The altitude that is perpendicular to the hypotenuse of a right triangle.
The two triangles formed are similar to the given triangle and to each other.
x² = (smaller part) × (larger part) of main hypotenuse
x² = 6 + 19 = 114 ( square root both sides )
x ≈ 10.68 ( nearest hundredth )
---------------------------------------------
y² = ( smaller part) × (whole part) of main hypotenuse
y² = 6 × 25 = 150 ( square root both sides )
y ≈ 12.25 ( nearest hundredth )
--------------------------------------------
z² = ( larger part) × (whole part) of main diagonal
z² = 19 × 25 = 475 ( square root both sides )
z ≈ 21.79 ( nearest hundredth )
Find the value of y
mZ1 = 2y + 8
Answer:
y=4
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
Answer:
∠F=56.5⁰
Step-by-step explanation:
It forms a right angled triangle.
The base of the triangle is given as 7.7 feet
The perpendicular of the triangle is given as 5.1 feet.
Find ∠E where
tan∠E=perpendicular/base
tan∠E=7.7/5.1
∠E=33.518
Find ∠F by substracting ∠G and ∠E from 180,
∠F=180-90-33.518
∠F=56.482
Round off to nearest tenth
∠F=56.5
Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and
Answer:
Angle x=19°
Angle Y=53° hopes this helps i might be wrong idk
Step-by-step explanation:
Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19
Determine which of the following relations is a function.
A.
X Y
-10 10
-5 5
0 0
5 -5
10 -10
B.
X Y
-3 2
-1 1
0 2
0 1
3 4
C.
X Y
-8 -4
-2 -2
1 3
2 4
4 6
D.
X Y
0 2
1 4
2 2
2 6
5 7
Answer:
A. X Y
-10 10
-5 5
0 0
5 -5
10 -10
Step-by-step explanation:
Because it is a relationship involving more than one variable where each input is related to one output. If graphed the line segment would only touch one point at a single time.
Answer: It’s A and C
Step-by-step explanation:
