To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!
The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
[tex]a^2 + b^2 = c^2[/tex]
Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.
To find the lengths of a right triangle, we can use Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex],
where; a and b are the legs of the triangle and c is the hypotenuse.
[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]
b = 11.0 cm
Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
-5z>10 what is the answer to that
Answer:
[tex]\boxed{\sf{z < -2}}[/tex]Step-by-step explanation:
To solve for z, isolate it on one side of the equation.
-5z>10First, multiply by -1 from both sides.
⇒ (-5z)(-1)<10(-1)
Solve.
Multiply the numbers from left to right.
⇒ 10(-1)=(-10)
Rewrite the problem down.
⇒ 5z<-10
Then, you divide by 5 from both sides.
⇒ 5z/5<-10/5
Solve.
Divide the numbers from left to right.
⇒ -10/5=-2
[tex]\boxed{\sf{z < -2}}[/tex]
Therefore, the correct answer is z<-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
z > -2
Step-by-step explanation:
Given inequality: -5z > 10
To determine the simplified inequality, we need to isolate "z". Divide -5 both sides to isolate the variable "z".
⇒ -5z > 10
⇒ -5z/-5 > 10/-5
Always remember that if you are dividing by a negative number, the inequality sign flips over.
⇒ z < -2
Thus, the simplified inequality is z < -2.
Find the missing measures in this regular hexagon. a regular hexagon has side lengths of 16 inches. the radius is 16 inches. an apothem is shown. the length of the apothem of the hexagon is about inches. the perimeter of the hexagon is inches. the area of the hexagon is about square inches.
The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular hexagon has side lengths of 16 inches. the radius is 16 inches.
The length of the apothem (h) of the hexagon is about inches.
[tex]\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches[/tex]
The perimeter of the hexagon is inches.
[tex]\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches[/tex]
The area of the hexagon is about square inches.
[tex]\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2[/tex]
More about the polygon link is given below.
https://brainly.com/question/17756657
Answer:
Step-by-step explanation:
The length of the apothem of the hexagon is about
✔ 13.9
inches.
The perimeter of the hexagon is
✔ 96.0
inches.
The area of the hexagon is about
✔ 667.2
square inches.
What is the volume of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
100 cubic centimetres
Step-by-step explanation:
Volume of Cone = 1/3 pie r^2 h
= 1/3 × 3.14 × 4 × 4 × 7
= 117.226
= 100 cubic centimetres ( nearest hundredth)
help me please! THis is the last one i need hurry!!!!!!!!
Answer:
900 in^2
Step-by-step explanation:
Triangle area = ( b x h )/ 2
rectangle area = b x h
------------------------------------------
triangle:
30 * 40 / 2 = 600 in^2
rectangle:
30 * 20/2 = 300 in^2
---------------------------------------
600 + 300 = 900 in^2
Simplify this exponential expression:
(-49) 2/5
I give Brainliest
Answer:
I thank it is 12 4/5
Step-by-step explanation:
hope this helps if not please let me now and dont worry about brainliest my main focus is just helping people.
Jim builds a robot that travels no more than 11 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 26 feet in 3 minutes?
Answer:
the robot can travel 26 feet in 3 minutes
Step-by-step explanation:
The robot goes 11 feet per minute and 11 x 3 equals 33 which is more than 26. 33 < 26
1. Find the unknown length of the side labeled x.
Answer:
Step-by-step explanation:
PLEEEEEAAAASEEE HELPPPPPP
simplify the polynomial
3a(6a^2-4ab^2)+8a^2b^2-2b^3
Answer:
Simplified: -4a²b²+18a³-2b³
3a(6a²-4ab²)+8a²b²-2b³
Multiply 3a by 6a² and-4ab²
18a³-12a²b²+8a²b²-2b³
combine like terms (-12a²b² and 8a²b²)
-4a²b²+18a³-2b³
Hope this helps
Step-by-step explanation:
Here we have to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]
Using Distributive property we get :
[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]
Combining the like terms we get :
[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]
Therefore,
The Simplified expression is [tex] \sf 18^3-4a^2b^2-2b^3[/tex]An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d
The amount of profit the investor earns is 9340 dollars. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.
The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.
Then total cost price of the shares will be
→ 19.84 × 400 = $7936
The total selling price of the shares will be
→ 43.19 × 400 = $17,276
Then the profit is the difference between the total cost price of shares and the total selling price of the shares.
→ 17276 - 7936 = $ 9340
More about the Algebra link is given below.
https://brainly.com/question/953809
The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list
gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and
standard deviation of the data set. Then sketch a normal curve to represent the distribution.
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
The standard deviation of the dataset is the square root of the variance
The mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
How to determine the mean?The dataset is given as;
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
Calculate the mean using:
μ = Sum/Count
So, we have:
μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10
Evaluate
μ = 24.6
How to determine the standard deviation?The standard deviation is then calculated using:
[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]
Evaluate
[tex]\sigma = \sqrt{32.44}[/tex]
Evaluate the square root
[tex]\sigma = 5.70[/tex]
Hence, the mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
Read more about variance at:
https://brainly.com/question/15858152
Does anyone know the perimeter and the area of them?
find the area of the semicircle round your answer to the nearest hundredth. 2ft
Expand & simplify
6
(
2
a
+
4
)
−
4
(
3
a
−
4
)
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40
A set of pencils sells for $1.85 and costs $0.60 to make. Twenty percent of
the profit (the difference between the purchase price and the amount it
costs to make) from each set of pencils goes to a school.
If 600 sets are sold, what is the amount of money that will go to the school?
Answer:
i believe its 150
Step-by-step explanation:
Need help please math............
Answer:
[tex]9\frac{52}{69} - 1 \frac{29}{50} [/tex]
[tex] \frac{673}{69} - \frac{79}{50} [/tex]
[tex] \frac{673}{69} to \: the \: nearest \: whole \: number \: is \: 10[/tex]
[tex] \frac{79}{50} to \: the \: nearest \: whole \: number \: is \: 2[/tex]
[tex] > > > 10 - 2 = 8[/tex]
Answer number 16 please thank you
B) Calculate the hourly rate Company A pays its employees.
Answer:
200
Step-by-step explanation:
The first rule is add 12, then divide by 2 starting from 4. The second rule is multiply by 2, then subtract 2 starting from 3. What are the first four ordered pairs using the two sequences? (4, 4), (8, 6), (10, 10), (11, 18) (0, 4), (3, 6), (4, 10), 5, 18) (4, 3), (8, 4), (10, 6), (11, 10) (0, 3), (3, 4), (4, 6), (5, 10). I WILL MARK BRAINLIST. MY BROTHER NEEDS HELP WITH MATH LOLOLOLOLOLOLOLOLOLOLOLOLOL
Answer:
(03,)(4,4(4,6),(5,10)
Step-by-step explanation:
I’m smart I have an A + so it’s correct
2x8 - (29x34)+ 38-12 (4x960)=
Solve the equation for x.
29=x4
Answer:
29/4 or 7.25
Step-by-step explanation:
Simply divide by 4 to isolate and solve for the x-term:
[tex]x=29/4[/tex] or 7.25
What is the system of linear equations for the following graph? Please just list the two equations
The equation of the blue line is y = 7x - 8 and the equation of the red line is y = -2x + 2
How to write a linear equationEquations are written as a function of two or more variables with input and output.
The standard linear equation is given in the form y = mx + b
m is the slope
b is the y-intercept
For the red line, the y-intecept is 2
Using the coordinate point on the red line (0,2) and (1, 0)
Slope = -2/1
Slope = -2
Equation of the red line is y = -2x + 2
For the blue line, we will use the coordinate points (2, 6) and (1, -1)
m = -7/-1
m = 7
-1 = 7(1) + b
-1 - 7 = b
b = -8
Hence the equation of the blue line is y = 7x - 8
Learn more on equation of aline here: https://brainly.com/question/13763238
I need the vocab word for problems 5-8
Answer:
5. Foci, 6. eccentricity, 7. Center, 8. HyperbolaStep-by-step explanation:
Below statements include the required information or property
5. An ellipse is "the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant".6. In an ellipse, the ratio c/a is called the eccentricity and is denoted by the letter e . Eccentricity measures the elongation of an ellipse. The closer e is to 0, the more an ellipse looks like a circle.7. A circle is a set of all points in a plane that are all an equal distance from a single point, the center.8. Hyperbolas have a center and two foci, but they do not form closed figures like ellipsesThe solution set of the system of inequalities below forms a triangle on the coordinate plane. What are the vertices of the triangle?
a.
(0,10), (3,4), (8,14)
c.
(-20,0),(1,0),(8/14)
b.
(0,0), (8,0), (8,14)
d.
(0,10),(3,4),(6,10)
i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry
log(3y+2)-1=log(y-4) solve y
[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]
In a diagram showing two parallel lines cut by a transversal, the measure of two same-side interior angles are both given as 5x°.
Without writing and solving an equation, can you determine the measures of both angles? Explain.
Because same-side interior angles are , and because these two angles are equal, each angle must be one-half of °, or each angle must have a measure of °.
Please help fast I’ll give Brainy
Answer:
See below.
Step-by-step explanation:
Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.
The Glitz Jewelry Kit contains round beads in 6 different colors plus 100 star-shaped beads.
There are 250 beads in all.
Answer:
False, it would actually be 106 beads. If this was a multiplication problem, that would also be false, because 6 times 100 is 600, not 350.
But let's attempt to make this statement true.
First/Last step: Find the missing beads.
The missing beads are 144.
Why?
Because you must add 144 to reach 250, there is no other way but to multiply. In this case, because the key word is, "In all" we are adding.
which angles are congruent in the isosceles triangle
Answer:
angle CAB and angle BCA
Step-by-step explanation:
Hope this helps! Have a great day!!
Find the length of b to the nearest tenth.
(BRAINLIEST :D)
Answer:
1.7
Step-by-step explanation:
You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.
Paul buys snacks for his flight. He compares cashews to yogurt raisins. The cashews weigh 205
grams, and the yogurt raisins weigh 186 grams. What is the difference between the weight of the
cashews and yogurt raisins?
Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.
Step-by-step explanation:
205-186 = 19 grams
hope this helps!
This is for 25 points please don't spam.
Answer:
D.
Step-by-step explanation:
REarranging the fromula:
F = m . a
M is in grams and acceleration is in meters / second squared
grams . metres per second squared.
Answer:
D) grams · meters per second squared
Step-by-step explanation:
[tex]\sf a=\dfrac{F}{m} \implies F=ma[/tex]
If a has units of [tex]\sf ms^{-2}[/tex]
If m has units of [tex]\sf g[/tex]
Then as F is the product of m and a, then
F has units of [tex]\sf g \cdot ms^{-2}=gms^{-2}[/tex]