x will equal 30...set them equal to each other and solve from there
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
WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE
Answer:
There is nothing attached
Step-by-step explanation:
No question given. What is the problem?
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
Learn more on word problem here: https://brainly.com/question/21405634
#SPJ2
3. x + y = 15
X - y = 3
solving systems of equations
Answer: x=10 y=5 = 15xy
Step-by-step explanation:
Which chemical equation is balanced?
Answer:
D as in dog
Step-by-step explanation:
) A rectangles length is 4 more than 3 times its width.
Its perimeter is 152. Find the length and width.
Answer:
no entiendo nada
Step-by-step explanation:
Let the width of the rectangle be 'w'
According to the question length of the rectangle (l) is 4 more than 3 times it's width;
[tex] \longrightarrow [/tex] l = 3w + 4
Perimeter of rectangle = 152
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 152 \\ \\ \rm \implies 2(3w + 4+ w) = 152 \\ \\ \rm \implies 2(4w + 4) = 152 \\ \\ \rm \implies 2 \times 4(w + 1) = 152 \\ \\ \rm \implies 8(w + 1) = 152 \\ \\ \rm \implies w + 1 = \dfrac{152}{8} \\ \\ \rm \implies w + 1 = 19 \\ \\ \rm \implies w = 19 - 1 \\ \\ \rm \implies w = 18[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 18
Length of rectangle (l) = 3 × 18 + 4 = 58
Answer this question please.
Answer:
x = 11
Step-by-step explanation:
We know that vertical angles (opposite angles when two lines cross), are equal.
2x - 6 = 6x - 50
4x = 44
x = 11
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!
About how many male math teachers will there be in 2016?
A. 32
B.52
Answer:
From the answers you provided the best answer is B.52
Step-by-step explanation:
It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.
Answer:
is it 32?
Step-by-step explanation:
sorry if im wrong
hope this helps
Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)
Answer:
y = 1/2x + 1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
Step 1: Define
y-intercept (0, 1)
Point (2, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-1}{2-0}[/tex]Subtract: [tex]m=\frac{1}{2}[/tex]Step 3: Write equation
y = 1/2x + 1
1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces
Answer:
224 ounces
Step-by-step explanation:
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]
Which of the following figures has rotated 90 counterclockwise about the origin?
Answer:
I believe the answer is B, although im not quite sure.
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!
Use this diagram and information given to find mangleAFE.
abcdef500
Given: mangleAFB = mangleEFD = 65°
Points B, F, D and points E, F, C are collinear.
The measure of angleAFE is
°.
Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]
When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,
[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]
Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D
.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?
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
Factor 28xy + 25 + 35x + 20y
HOPE THIS HELPS YOU...
What is the equation of the line?
Answer:
y=2x=2
Step-by-step explanation:
bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time
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]
For more information visit:
https://brainly.com/question/13283964?referrer=searchResults
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit
$50,000 into the account. How much will be in the account after 20 years?
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18
Answer:
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18
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|
4/4-x = 5/4+x what is x
Answer:
-1/8
Step-by-step explanation:
MATH
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
Brainliest
Answer: what is 123-12(324-234)
·ω·
Answer:
-957
Step-by-step explanation:
324-234=90
12*90=1080
123-1080=-957
Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.
WILL GIVE BRAINIEST AND 20 POINTS AND 5 STARS !! NEED HELP ASAP, PLEASE EXPLAIN STEP BY STEP.Kole works in an electronic store. He estimates that he spends 42% of his pay in his own store. Write the decimal that represents the amount of pay he spends in the electronics store.
Answer:
0.42
Step-by-step explanation:
move the decimal point 2 to the left
Need Help QUICK, Will MARK BRAINLIEST!!!! LOTS OF POINTS
Answer:
Step-by-step explanation:
Help with what
Answer:
what is the question???
Step-by-step explanation:
Can someone plz help
One question only
I WILL CROWN BRAINLIEST
LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.
Answer:
25.2 feets
Step-by-step explanation:
Given that:
Rectangular shaped living room has the dimension:
21 feets by 14 feets
Length of diagonal :
Using Pythagoras :
A² = B² + C²
Diagonal² = 21² + 14²
Diagonal = √(441 + 196)
Diagonal = √637
Diagonal = 25.238
Diagonal = 25.2 feets ( nearest tenth)