Answer:
Yes. The legs are PQ for both triangles.
Step-by-step explanation:
PQ is congruent to PQ (itself) by the reflexive postulate. We can use this along with our congruent hypotenuses and the right angle to determine that these right triangles are congruent by HL.
I hope this helps!
what is the solution 2x-y=4 -4+2y=-8
Answer:
x= −1 /2 , y−4
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
Answer:
1.
Step-by-step explanation:
sec 16° cosec 74° - cot 74° tan 16°
= 1/ cos 16 * 1/ sin 74 - 1/tan 74 * tan16
= 1/ cos16 sin 74 - cos74/ sin74 * sin 16 / cos 16
Now cos 16 = sin 74 and sin 16 = cos 74 (supplementary angles) so:
= 1 / cos^2 16 - sin 16/cos 16 * sin 16 / cos 16
=( 1 - sin ^2 16 )/ cos^2 16
= cos^2 16 / cos^2 16
= 1.
The sum of twice a number and 15
Is greater than 3
please help Write the number in standard form
5x10∧4
8.3x2 +0.9xy + 3.6
7.4x2 - 1.7xy + 6.4
Answer:
20.2 + 0.9xy
&
20.2-1.7xy
Step-by-step explanation:
What is the solution to the equation v/4
+ 2 = 8
V=2
V=-4
V = 40
V = 24
Answer:
4,16,32,320,240
Step-by-step explanation:
Answer:
he got it super wrong itś v/4,v/16,v/32,v/320,v/240
Step-by-step explanation:
Can u help me Find the Slope for (-4,-1),(-4,-5)
Answer:
x = -4 (and btw that is so cuteee)
Step-by-step explanation:
Points: (-4,-1) and (-4,-5)
m = y2 - y1/x2 - x1
m = (-5) - (-1)/(-4) - (-4)
m = -5 + 1/-4 + 4
m = -4/0
x = - 4
x not y ;w;
could you awnser this please
write a two-step equation that can be solved using the addition property of equality and the division property of equality.
Answer:
8x-14=26
Step-by-step explanation:
To solve this equation you first have to add 14 to both sides to cancel the -14 from the left side. Then you have to divide both sides by 8 to cancel out the 8 in front of the x and to get x alone. Then you have your answer. The answer to 8x-14=26 is x=5.
Pls work this out I will give you brainest xx
can someone plz help its homework and due tdy.
Answer:
Hope this will help you.Step-by-step explanation:
Answer: 1: 14
2: -2
3: 3
4: 2
5: 5
6: 6
7: -1
Step-by-step explanation:
The total land area of Russia is about 20,000,000 km^2, or 2 x 10^7 km^2.
The total land area of Puerto Rico is about 10,000 km^2, or 2 x 10^2 km^2.
About how many times larger is Russia than Puerto Rico?
A. 2 x 10^-3 times
B. 19,990,000 times
C. 200 times
D. 2 x 10^3 times
Answer:
Im not sure but i think its 200 times
Step-by-step explanation:
Russia is 2 × 10³ times larger than Puerto Rico.
What is Exponentiation?Exponentiation is a method of writing numbers, especially larger numbers, as the power of some number. A number can be written in the exponent form as aᵇ, where 'a' is called the base and 'b' is called the power or exponent.
Total land area of Russia = 20,000,000 km² = 2 × 10⁷ km²
Total land area of Puerto Rico = 10,000 km² = 10⁴ km²
Let X be the number of times that Russia is larger than Puerto Rico.
Then we can write,
Total land area of Russia = X × Total land area of Puerto Rico
2 × 10⁷ km² = X × 10⁴ km²
X = 2 × 10⁷ km² / 10⁴ km²
X = 2 × 10⁷ × 10⁻⁴
X = 2 × 10³
Hence, about 2 × 10³ times larger is Russia than Puerto Rico.
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A person breathes 2.5 x 10^-4 in about cubic meters of air per second. How long does it take to breathe in 2.5 cubic meters of air?
Answer:
10⁴ seconds
Step-by-step explanation:
Given that,
A person breathes [tex]2.5\times 10^{-4}[/tex] in about cubic meters of air per second.
We need to find time taken to breathe 2.5 cubic meters of air.
In 1 sec = [tex]2.5\times 10^{-4}[/tex] m³ of air breathe
Let in x seconds, 2.5 m³ of air taken by the person.
[tex]x=\dfrac{2.5}{2.5\times 10^{-4}}\\\\x=10^4\ s[/tex]
Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.
helpppp!!! (look at screenshot)
Use the map at the right. Any location equidistant from the subway station on 26th St. and the subway station on 30th St. must lie on what street?
A. 8th Ave.
B. 28th St.
C. 7th Ave.
D. 26th St.
Answer:
I think it's the 28th St. but I'm not sure.
The second hand of a clock is 10 inches long. Find the linear velocity of the tip of the second hand
Answer:
10 inches/hour
Step-by-step explanation:
The tip moves clockwise in a circle of radius 10 inches. The linear velocity is v = rω, where r is the radius and ω the angular velocity.
This comes out to v = (10 inches)(1 revolution per hour) = 10 inches/hour
A salesman's commission is directly proportional to his total sales. If the commission is $100 for $1000 in sales, find the commission for $1750 in sales.
The commission of the salesmen with the given ratio will be $175.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
The commission is $100 for $1000 in sales.
Ratio of commission to sales = 100/1000 = 0.1
With the same ratio,
Commission/1750 = 0.1
Commission = 1750 x 0.1 = $175
Hence "The commission of the salesmen with the given ratio will be $175".
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Which of the tables does NOT represent a function ?
Answer:
B
Step-by-step explanation:
My teacher used to compare functions to vending machines, if i press 2 then i will get m&m's which is 6. But if I press 3 I can't get m&m's(6) and a candy bar which is 7. Hope this helped.
18n + 12 = 27n + 3
5(x + 7) = 6(x - 5)
Solve for the variables SHOW WORK
Answer:
n = 1x = 65Step-by-step explanation:
Given
18n + 12 = 27n + 3 5(x + 7) = 6(x - 5)Solving for variables
1
18n + 12 = 27n + 3 18n - 27n = 3 - 12-9n = -9n = -9/-9n = 12
5(x + 7) = 6(x - 5)5x + 35 = 6x - 305x - 6x = -30 - 35-x = -65x = 65Answer:
18n + 12 = 27n + 3
12-3=27n-18n
9=9n
n=9/9=1
5(x + 7) = 6(x - 5)
5x+35=6x-30
35+30=6x-5x
65=x
:.x=65
It takes Jenny 1/4 hour to ride her bike 1/2 mile. What is her unit rate of travel in miles per hour?
Answer:
2 mph
Step-by-step explanation:
Since Jenny can do 1/2 of a mile in 1/4th of an hour, she can do twice as many miles, which is 1/2
Joel's Taxi Service charges a flat rate of $15 plus $0.10 for each mile. Write an equation in function notation and find out how much it would cost to travel 25 miles.
Answer: It would cost $17.5 travel 25 miles.
Step-by-step explanation:
Given: Flat rate = $15
Charge per mile = $0.10
Total cost = Flat rate + (Charge per mile) (Number of miles)
Let x= Number of miles traveled.
So Total cost = 15 +0.10x
Put x= 25 miles
Total cost = 15 +0.10(25)
= 15+2.5 = $17.5
Hence, it would cost $17.5 travel 25 miles.
how can you use the pythagreom therem to solve real-world problem
Answer:
This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope.
Answer:
Architecture, Engineering, Astronomy, etc.
Step-by-step explanation:
Engineers use the Pythagorean Theorem by knowing the height of the roof and the length for it to cover, and it will result in the diagonal length of the roof's slope. Architects use the Pythagorean Theorem to calculate the heights of buildings and the lengths of walls. Astronomers sometimes use the theorem to calculate the paths of spacecraft, including rockets and satellites.
Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the Area of this rectangle.
Answer:
230 unit^2
Step-by-step explanation:
[tex]From\ the\ information\ provided\ we\ know\ the\ coordinates\ of\ points:\\P(-11,20),L(-11,-3),A(-1,20),Y(-1,-3)\\Hence,\\PL =AY= 20+3=23\ units\\PY=LA=11-1=10\ units\\Hence,\\As\ we\ know\ that:\\Area\ of\ a\ rectangle=Length*BreadthArea\ of\ rectangle\ PLAY=23*10\\=230\ unit^2[/tex]
Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm
Answer:
a. i. 150 cm³ ii. 150 cm³
b. i. 220 cm³ ii. 120 cm³
c. i. 297 cm² ii. 220 cm²
Step-by-step explanation:
a. For the cube
Dimensions of Cube = 5cm x 5cm x 5cm
Length of side = 5 cm
i. Total surface area A = 6L² where L = length of side = 5 cm
So, A = 6 × (5 cm)²
= 6 × 25 cm³
= 150 cm³
ii. Lateral surface area A' = 4L²
= 4 × (5cm)²
= 4 × 25 cm²
= 100 cm²
b. For the cuboid
Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm
i. Total surface area A = 2(lb + lh + hb)
= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)
= 2(50 cm² + 40 cm² + 20 cm²)
= 2(110 cm²)
= 220 cm²
ii. Lateral surface area A' = 2(lh + hb)
= 2h(l + b)
= 2 × 4 cm (10 cm + 5 cm)
= 8 cm × 15 cm
= 120 cm²
c. For the cylinder
Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm
i. Total surface area, A = 2πr(r + h) where r = radius = d/2
A = πd(d/2 + h)
= 22/7 × 7 cm(7 cm/2 + 10 cm)
= 22cm(3.5 cm + 10 cm)
= 22cm(13.5 cm)
= 297 cm²
ii. Lateral surface area A = 2πrh
= πdh
= 22/7 × 7 cm × 10 cm
= 22 cm × 10 cm
= 220 cm²
For parties of six or more, a restaurant adds a 20% gratuity (or tip). Ifa
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.
Answer:
$247.37
Step-by-step explanation:
The total dinner bill with a tip for the large party is $177.90.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.
Gratuity = bill x 0.2
Gratuity = 148.25 x 0.2
Apply the multiplication operation, and we get
Gratuity = 29.65
To find the total bill, we add the gratuity to the original bill.
Total bill = bill + gratuity
Total bill = 148.25 + 29.65
Apply the addition operation, and we get
Total bill = $177.90
Hence, the total dinner bill with a tip for the large party is $177.90.
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Solve by Completing the Square then identify the type of SOLUTIONS:
3x^2 - 12x - 45 = 0
Answer: x= 2 + [tex]\sqrt\\ 19[/tex] , x= 2 - [tex]\sqrt19\\[/tex]
Step-by-step explanation:[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:3\left(-45\right)}}{2\cdot \:3}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:6\sqrt{19}}{2\cdot \:3}[/tex]
[tex]x_1=\frac{-\left(-12\right)+6\sqrt{19}}{2\cdot \:3},\:x_2=\frac{-\left(-12\right)-6\sqrt{19}}{2\cdot \:3}[/tex]
[tex]x=2+\sqrt{19},\:x=2-\sqrt{19}[/tex]
Find the measure of the indicated angle to the nearest degree
Please show all steps ty
Answer:
71 degrees
Step-by-step explanation:
1. We know that the angle is unknown as demonstrated by '?'
2. The 17 side is opposite of the unknown angle
3. The 18 side the hypotenuse (not in contact with the right angle)
4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse
5. The equation should be sine(degree) = 17/18
6. Since we don't know the degree we bring sine to the left and has a negative power of 1
7. The equation now becomes degree = sine^-1 (17/18)
8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71
Sergio earned $350.40 after working 24 hours one week. If Sergio has the same hourly rate, how many hours will he need to work to earn $525.60?
Answer:
36 hours
Step-by-step explanation:
he earns 14.6 per hour
Whats is the x-coordinate of x-intercept of the line with the equation 5y+2/3x=10?
Answer:
Your answer to your question is 15
Step-by-step explanation:
A.112
B.136
C.56
D.34
Answer:
B
Step-by-step explanation:
Hope this help
plz do plz do it all i wil give brainlest and thanks to best answer thank u
Answer:
17.) D
18.) A
Step-by-step explanation:
length x width x height