Answer:
30 and 60
Step-by-step explanation:
Let x represent the first angle
(x) the sum of the first angle plus twice of the second angle 2(90 - x)
x + 180 - 2x = 150
180 - 150 = 2x - x (we export like terms to the same side of the equation)
30 = x is the measure of the first angle and since the second angle is complementary to this the measure of the second angle is 90 - 30 = 60
a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?
Answer:
[tex]f(20) =3.25[/tex]
Step-by-step explanation:
Given
[tex]f(m) = 1.25 + 0.10m[/tex]
Required
[tex]f(20)[/tex]
We have: [tex]f(m) = 1.25 + 0.10m[/tex]
Substutute 20 for m
[tex]f(20) =1.25 + 0.10*20[/tex]
[tex]f(20) =1.25 + 2[/tex]
[tex]f(20) =3.25[/tex]
What is an equation for the line that passes through the coordinates (2, 0) and (0, 3)?
If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)
9514 1404 393
Answer:
largest: 1024 m²smallest: 0 m²Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
The largest enclosed area is (32 m)² = 1024 m².
__
The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.
The smallest enclosed area is (64 m)(0 m) = 0 m².
_____
"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².
The pyramid shown below has a square base, a height of 7, and a volume of 84 cubic units.
What is the length of the side of the base?
12
36
6
18
In the accompanying diagram of circle o, chords AB and CD
intersect at E. If AE = 3, EB = 4, CE = x, and ED = x +1,
find CE
Answer:
x = 3
Step-by-step explanation:
Given :
AE = 3, EB = 4, CE = x, and ED = x +1,
Equating chord AB and CD
AE*EB = CE*ED
3*4 = x*(x+1)
12 = x² + x
x² + x - 12 = 0
x² +4x - 3x - 12 = 0
x(x + 4) - 3(x + 4)
(x + 4) = 0 or (x - 3) = 0
x = - 4 or x = 3
Distance can't be negative :
x = 3
Find the value of x. Leave your answer in simplest radical form.
a rectangular room is 15ft long, 14ft wide and 8.0ft high. what is the length of the longest diagonal from one corner to another of the room
Answer:
20.51ft
Step-by-step explanation:
Given data
Length= 15ft
Width= 14ft
Height= 8ft
Because we want to find the diagonal, let us use the Length and the width
We can get the diagonal by applying the Pythagoras theorem
z^2= x^2+y^2
z^2= 15^2+ 14^2
z^2= 225+ 196
z^2= 421
square both sides
z= √421
z=20.51 ft
Hence the diagonal is 20.51ft
The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.
StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths
Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equalit
QueSLUIT Consider the universal set U of all the integers from 2 to 20, including both 2 and 20. Let B be the set of multiples of 2, not counting 2 itself. Find Bº. Write your answer in standard set notation, for example {1,2,3,4,5). Do not use the notation B° = in the answer
Step-by-step explanation:
{2,3,5,7,9,11,13,15,17,19}
[tex]xy = 3xy + 25 \\ 3 = y - 20[/tex]
solve for x andy
Answer:
x= -0.5
y= 23
Step-by-step explanation:
3=y-20 so y= 23
xy=3xy+25
23x=69x+25
-46x= 25
x=-0.5
AB = 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
12 cm
55°
6 cm
Answer:
12.7 cm
Step-by-step explanation:
We can obtain CB using Pythagoras :
CB = √12² - 6²
CB = √108
CB = 10.39
Using CB,
We can apply trigonometry on triangle BCD to obtain the length of CD
Sin θ = opposite / hypotenus
Sin 55 = CB / CD
Sin 55 = 10.39 / CD
CD = 10.39 / sin 55
CD = 12.68
CD = 12.7 cm
Write the equation in standard form for the circle with center (0, -2) and radius 7.
Answer:
(x)^2+ (y+2)^2 = 49
Step-by-step explanation:
The standard form of a circle is
(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-0)^2+ (y--2)^2 = 7^2
(x)^2+ (y+2)^2 = 49
How much flour would Henry need to make 15 batches of cookies
Answer:
he would need around 20 cups of flour depending on how much the recipe calls for
This college has one of the highest median graduation rates and the best consistency in graduation rates over time.
Answer:
70 has the most groups
Step-by-step explanation:
from the graph
Answer:
Step-by-step explanation:
The dark blue graph illustrates these two requirements. The rates represented there have the highest median.
Same graph illustrates consistency in outcomes, as the graduation rates vary little from their median.
In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
II. Which of the following is a solution of
the equation 25m 25?
A 0.10
B 0.15
C 0.18
D 0.30
Answer:
A 0.10
Step-by-step explanation:
We are given the following equation:
[tex]25m = 2.5[/tex]
Passing 25 to the right side of the equality, doing the inverse operation(division).
[tex]m = \frac{2.5}{25} = 0.1[/tex]
Thus, the correct answer is given by option A.
complete the equation describing how X and Y are related.
Answer:
y=3x-2
Step-by-step explanation:
Phương trình có dạng: ax+b=y
Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:
-2a+b=-8 và –a+b=-5
Giải hệ phương trình ta được a=3, b=-2
Please solve for angle C
Answer:
29
Step-by-step explanation:
tan c = opposite / adjacent
c = tan -1 (25/45) = 29
Answer:
Step-by-step explanation:
tan C = opp/adj
sin C = 25/45
sin C = 0.5556
C = sin^-1 0.5556
= 33.75
For a whole life inurance on (x), you are given the following:
• Z is the present value for the insurance benefits • Benefits are paid at the moment of death
• μ(t)=0.02,t≥0
• δ = 0.08
• bt =e0.03t,t≥0 Calculate Var(Z).
Answer:
chjggjhchhhv
Step-by-step explanation:njbjbkk,
I have a linear equation word problem pic to follow
Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)
Answer:
the first one and the second
Step-by-step explanation:
.
Kate lanes a letter against her house to get to the roof. The house is 25 feet tall and I put a ladder is 15 feet away from the side of the house. What is the angle that the latter makes with the ground?
Answer:
this is the correct answer
PLEASE HELP DUE IN 15 MINUTES
9514 1404 393
Answer:
3280Step-by-step explanation:
The equation y = 8x means the value given for x is multiplied by 8.
1. 8 × 4 = 32 . . . scales in 4 days
2. 8 × 10 = 80 . . . scales in 10 days
QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared
Answer:
Step-by-step explanation:
81x² - 6x
Answer:
81x² - 6x
Step-by-step explanation:
81x² - 6x
A student needs 12 minutes to solve an algebra problem how many minutes does the student need to solve 6 problems
Answer:
72
Step-by-step explanation:
12 * 6 = 72
of course, IRL not every problem takes the same amount of time
Answer: if they are all algebra questions then 72
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12= 70
F(x)<0 over (- infinity, -3) and what other interval? (-2.4,-1.1)
Answer:
option 4 is the answer to this question
Answer:
D
Step-by-step explanation:
Which graph shows Point Pin Quadrant II and Point Q as (3,-4)
Answer:
p would be up top on the negative side (left)
q would be at the bottom on the positive side (right)
GEOMETRY PLEASE HELP!!!!!!!
If the triangle shown in the diagram is dilated by a scale factor of 1 / 2
What will be the area of the resulting triangle?
A) 1.5 units²
B) 3 units²
C) 6 units²
D) 12 units²
Answer:
1.5 units^2
A
Step-by-step explanation:
AB (the base) = 4 - 1 = 3
AC (the height) = 5 - 1 = 4
Area = 1/2 * b * h
Area = 1/2 * 4 * 3
Area = 6 units^2
Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.
So AB becomes 1.5
AC becomes 2
The area of the new triangle = 1/2 * 1.5 * 2 = 1.5
Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.
PLEASE HELP ME!!!
WILL BE WORTH 10 POINTS!!!
I WILL MARK BRAINLIEST!!!
Please answer the 3 questions on the picture.
I would appreciate it so much!
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale
Answer:
D
5 sq.rt. 3
Step-by-step explanation:
use the pythagorean theorem: a^2 + b^2 =c^2
5^2 + x^2 = 10^2
25+ x^2 =100
x^2 = 100 - 25
x^2 =75
x = [tex]\sqrt{75}[/tex]
x = 5 [tex]\sqrt{3}[/tex]