Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00
which expression are equivalent to the given expression square root of 40
Answer:
2√10
Step-by-step explanation:
√40 = √(2 × 2 × 2 × 5) = 2√10.
An isosceles triangle always has three interior angles that measure 60° each.
Is it true or false?
Please give real answers with explanation. 100 points + I will give brainliest. No Docs/No Files/No Links only answer with explanation.
Answer:
False
Step-by-step explanation:
The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!
Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).
Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b
help me please please
Answer:
A
Step-by-step explanation:
For a number to be written in scientific notation, you need to have it in the form:
a x 10^n
Where a is between 1 and 10(not including 10), and n is an integer. We can notice that in option A, 0.1(a) is not between one and ten, so it is not in scientific notation.
which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096
Answer:
1/(4^(n-1))
Step-by-step explanation:
if you start at zero then this should be the solution
Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree
Answer: 13.8 m
Step-by-step explanation:
Given
From point A, angle of elevation is [tex]19^{\circ}[/tex]
From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]
Suppose the height of tree is h
From figure, we can write
[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]
Similarly
[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]
Deduce the value of h
[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]
Thus, the height of the tree is 13.8 m
Will give brainlist!!
Answer:
B
Step-by-step explanation:
Have a wonderful day
Consider the following sequence of numbers
Answer:
There are no questions below .
pls help me ill give brainliest and no links ty!<3:)
T is the midpoint of PQ
PT=TQ
5x+7 = 7x-7
2x= 14
x= 14/2
x= 7
PT = 5(7)+7 = 42
The circumference of a circle is 20 pi inches. What is the area in square inches of the circle express your answer in terms of pi
Answer:
314 c m 2
Step-by-step explanation:i think i dont know (sorry)
A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.
Answer:
$749.89
Step-by-step explanation:
TV price = 100% = 695.95
Sales TAX = 7.75% = x
Total price = 107.75% = x dollars
1.0775 * 685.95 = 749.886125 ≈ 749.89
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve for the roots using the quadratic formula. Express your answers to two decimal places.
2x^2 − 5x − 1 = 0
Answer:
x = 2.69 or x = -0.19
Step-by-step explanation:
Given:
2x² − 5x − 1 = 0
x = {-b ± √b² - 4ac} / 2a
a = 2
b = -5
c = -1
x = {-b ± √b² - 4ac} / 2a
= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2
= {5 ± √25 - (-8)} / 4
= {5 ± √25 + 8} / 4
= 5 ± √33 / 4
= 5 ± 5.75 /4
x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4
x = 10.75/4 or x = -0.75/4
x = 2.69 or x = -0.19
Find the volume of the cone. round your answer to the nearest tenth.
Answer:
18 and if I round it off to the nearest tenth it will be 20
just so you know I'm not that good at maths
Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)
Answer:
(x-4) (x-2)
Step-by-step explanation:
x^2−6x+8
What 2 numbers multiply to 8 and add to -6
-4*-2 = -8
-4+-2 = -6
(x-4) (x-2)
The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm
Answer:
r≈5.09cm
Step-by-step explanation:
When adding two
rational numbers what
will the sign be if both
numbers are positive?
Answer:
Step-by-step explanation:
Adding two rational numbers results in a positive sum.
Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333...
x+2=-19.333+2
=-17.333...
what is 345% written in decimal form? i really need help :( thanks if u can!!
Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get
2 pan......................
.................
Answer:
1/8 of the whole pan
Step-by-step explanation:
Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.
Help me ASAP please
Answer:
f(x) = x³ - 3
Step-by-step explanation:
Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < o then a shift down o c units
Here a shift down of 3 units, hence c = - 3, thus
f(x) = x³ - 3
What is the measure of arc XZ?
ohh dear u still have school i have a holiday for two months
Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7
Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6
Answer:
6xStep-by-step explanation:
9x - 3x
[When like terms are combined then as per statement they get subtracted]
= 6x (Ans)
Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?
What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.
Answer:
1185 10/30 square feet
Step-by-step explanation:
Area of a rectangle = length * width
Given
Length = 25 2/5 feet
width = 46 4/6
Substitute into the formula;
Area = 25 2/5 * 46 4/6
Area = 127/5 * 280/6
Area = 35,560/30
Area = 1185 10/30
Hence the area of the rectangle is 1185 10/30 square feet
I need help finding the slope G and J
Answer:
[tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
G(-6 , 2) = (x1 , y1)
J(-4 , -3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=-3-2/-4-(-6)
=-5/-4+6
=-5/2
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.
What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.
Step-by-step explanation:
• the area of circle M = 3.14×11² = 379.94
• the circumference of circle M =
2×3.14×11 = 69.08
• XY =√36²-11²=√1296-121=√1175=34.28
• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°
• the area of triangle XY = ½×11×34.28
= 188.54
• the area of minor sector
= 72.21/360 × 379.94 = 76.20
• the minor arc from point X to
the point where YM intersects
withthe circle
= 72.21/360 × 69.08 = 13.86
Help? Luis has saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Choose the correct word in each drop-down menu.
This___ represent an exponential function, because his savings increase by a constant___
1st blank (does not, does)
2nd blank (ratio, difference)
Answer:
1). Does Not
2). Ratio
Step-by-step explanation:
According to the Question,
Given that, Luis has saved $15. He doubles the amount he saves each week.
This DOES NOT represent an exponential function, because his savings increase by a constant RATIO.