Answer:
(3-21)-(7+6) = -31
Step-by-step explanation:
3-21 = -18 - 13= -31
The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.
Answer:
Step-by-step explanation:
the formula for calxulating the area if the isosceles triangle is expressed as;
[tex]A = \frac{1}{2}bh[/tex]
b is the base of the triangle
h is the altitude
Given
b = 16ft
h = 10ft
Substitute
A = 1/2 * 16 * 10
A = 8*10
A = 80ft²
Hence the area of the triangle is 80ft²
b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side
s² = h²+(b/2)²
s² = 10²+(16/2)²
s² = 10²+(8)²
s² =100+64
s² =164
s = √164
s = 12.8ft
Hence one side of the triangle is 12.8ft
PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg
Answer:
A.
Step-by-step explanation:
your equation has no exponents, it is linear.
Answer:
A
Step-by-step explanation:
Who here is amazing at math and is willing to help me every time I need help with math?!
Answer:
Me
Step-by-step explanation:
Because I am really good at math
What is the difference between an image under a dilation with a scale factor 0 1
Can someone plz help
One question only
I WILL CROWN BRAINLIEST
Which question can be answered using the expression 1/3÷ 3/4
Answer:
Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?
Step-by-step explanation:
Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.
Good luck!
The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take
Word problems involving equationsAlgebraic equations are ways we can solve real life apllications.
Given the division problem
1/3÷ 3/4
This can be written usng this statement:
The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take
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Which one is right *Will make BRAINLEST*
Answer:
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Step-by-step explanation:
Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.
If a,b and c are three numbers then associative property for multiplication can be given as:
a.(b.c) = (a.b).c
The given expression is:
[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]
Applying the associative property for multiplication we get
[tex](14.\frac{1}{7})\frac{2}{5}[/tex]
Hence,
The correct answer is:
Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]
3. x + y = 15
X - y = 3
solving systems of equations
Answer: x=10 y=5 = 15xy
Step-by-step explanation:
80÷1.94≈
Please help me
Answer:
[tex]\frac{80}{1.94}[/tex]
Step-by-step explanation:
80 ÷ 1.94 = [tex]\frac{80}{1.94}[/tex]I hope this helps!
(-1,1) and (0,4) are on the line what is the linear equation in standard form
Answer:
y-3x=4
Step-by-step explanation:
1-4/-1-0=3
1 = 3(-1)+b
1=-3+b
b=4
The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,
⇒ y = 3x + 4
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-1, 1) and (0, 4)
Now,
Since, The equation of line passes through the points (-1, 1) and (0, 4).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (4 - 1) / (0 - (-1))
m = 3 / 1
m = 3
Thus, The equation of line with slope 3 is,
⇒ y - 1 = 3 (x - (-1))
⇒ y - 1 = 3 (x + 1)
⇒ y - 1 = 3x + 3
⇒ y = 3x + 3 + 1
⇒ y = 3x + 4
Therefore, The equation of linear equation in standard form is,
⇒ y = 3x + 4
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HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2
Answer:
corresponding angles
Alternate angle
cointerior angle
A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)
The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
Step-by-step explanation:
Given information:
[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]
[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]
[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]
[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]
Now,
If ,we take a right circular cone with radius r and height h , its volume
[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]
Now, the radius of cone when the volume of water tank is given
[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]
The ratio of height to radius of the cone :
[tex]\text {h/r} =3[/tex]
[tex]\text r = \text h/3[/tex]
Now calculate :
[tex]dV/dt= dV/dh \times dh/dt[/tex]
Which gives:
[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]
As ,
[tex]27=\frac{1}{27 \times h}[/tex]
[tex]\text h^3=27^2\\\text h= 9\\[/tex]
Now,
[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]
Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]
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What are the domain and range of x= -2?
Answer:
The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.
Step-by-step explanation:
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
If DE=2x-1, what is the value of x
1. 7
2. 7.5
3. 8
4. 8.5
The value of the variable 'x' will be 8.5. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.
The side AB is equal to DE. Then we have
DE = AB
2x - 1 = 16
2x = 16 + 1
2x = 17
x = 17/2
x = 8.5
The value of the variable 'x' will be 8.5. Then the correct option is D.
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3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
what is the difference between mutiplying and adding polynomials
Answer:
When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.
Step-by-step explanation:
.
Answer:
adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about
One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.
Answer:rental cost for each movie =$3.75 and for video games = $5.5
Step-by-step explanation:
Step 1 Let the cost of movie = x
and cost of video game = y
Cost at Ist Month for 6 movies and 5 video games for a total of $50 will be
6x+ 5y= $50------- Equation 1
Cost at 2nd Month for 2 movies and 3 video games for a total of $24 will be
2x+ 3y= $24-------- Equation 2
Step 2--- Solving
6x+ 5y= $50------- Equation 1
2x+ 3y= $24-------- Equation 2
Multiplying equation 2 by (3)
6x+ 5y= $50------- Equation 1
6x+ 9y= $72--------Equaton 3
subtracting equation 1 from equation 3
9y-5y=22
4y= 22
y=22/4= 5.5
Putting the value of y = 5.5 in equation 1
6x+ 5y= $50
6x + 5(5.5)= $50
6x =50-27.5
6x=22.5
x=22.5/6
x =3.75
Therefore rental cost for each movie =$3.75 and for video games = $5.5
HELP ASAP PLEASE THANKS! :))
Answer:
I believe the answer is p = -7/5
Step-by-step explanation:
Here's the equation and the workthru of my logic:
-5 (p + 3/5) = -4
Divide both sides by -5 to remove the -5 from the left side of the equation,
p + 3/5 = -4/5,
Subtract 3/5 from both sides to solve for p,
p = -4/5-3/5
p = -7/5
Solution is -7/5
Hope this helps.
Good luck!
solve the equation 4x²+4x+1=0
Answer: x = -1/2
4x² + 4x + 1 = 0
⇔ (2x + 1)² = 0
⇒ 2x + 1 = 0
⇔ x = -1/2
Step-by-step explanation:
Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar
Answer:
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
Let say Mira's breakfast Price = B $
Tip she left = 20 %
20 % Tip amount = (20/100) B = 0.2B $
Tip Amount She left = $ 1.8
Equating Tip Amount
0.2B = 1.8
=> B = 9
Price of Mira Breakfast = 9 $ before tip
Step-by-step explanation:
4/4-x = 5/4+x what is x
Answer:
-1/8
Step-by-step explanation:
MATH
.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?
Which of the following BEST describes the domain of the relation graphed below.
Answer:
The answer is D.
Step-by-step explanation:
Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]
1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces
Answer:
224 ounces
Step-by-step explanation:
11 What is most likely the equation of the graph below?
Answer:
f(x) = |x + 2|
General Formulas and Concepts:
Transformations Graph: f(x) = a|bx - c|+ d
a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/downStep-by-step explanation:
Step 1: Define
We see a transformation from a parent function of the absolute value.
Parent Graph: f(x) = |x|
Step 2: Find equation of graph
We see the transformation moving horizontally 2 units to the left.
c = -2
f(x) = |x + 2|
A line has a slope of 2 and passes through the point (0,0) what is its equation in slope intercept form
Answer:
y=mx+b is slope-intercept form
where m is the slop, and b is the y intercept
if m is the slop then we can plug that into the equation
y=2x+b
next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.
y=2x+0
eliminate the 0
y=2x is your equation
Step-by-step explanation:
Factor 28xy + 25 + 35x + 20y
HOPE THIS HELPS YOU...
Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.
Answer:
if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.
Step-by-step explanation:
Can i get brainliest plzzz?
Answer:
8
Step-by-step explanation:
They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.
Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?
Answer:
Step-by-step explanation:
At home depot
Price of Christmas tree = $149.00
Discount = 15%
Amount discounted = 15% of $149
Amount discounted = 15/100 * $149
Amount discounted = 15 * 1.49
Amount discounted = $22.35
Amount she paid = $149-$22.35
Amount she paid = $126.65
At Lowe's:
Price of Christmas tree = $175.00
Discount = 260%
Amount discounted = 20% of $175
Amount discounted = 20/100 * $175
Amount discounted = 0.2 * 175
Amount discounted = $35
Amount she paid = $175-$35
Amount she paid at Lowe's = $140
From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.
Amount she will save will be $140 - $126.65 = $13.35