Answer:
la respuesta es (11.615)
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17
Step-by-step explanation:
5. A number m is less than – 3 or greater than or equal to 1.
write the sentence as an inequality.
Answer:
m < -3 or m ≥ 1
Step-by-step explanation:
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
A farmer wants to fence a piece of his land. Two sides of the triangular field have lengths of 120 feet and 325 feet. The measure of the angle between those sides is 70 degrees. How much fencing will a farmer need?
Farmer need 750.5 feet fencing for his triangular field.
What is triangle?"Triangle is two dimensional geometrical shape with three sides and three vertices. Sum of all the angles of a triangle is equals to 180°.
Formula used
Cosine rule
As per the diagram,
cosθ = (b² +c² -a²) / 2bc
cos 70° = 0.3420
According to the question,
Let AB = c , AC = b are given sides of measure 120 feet and 325 feet respectively.
and BC = a
Angle between given sides be θ = 70°
Substitute the value in the formula we get,
cos70° = [ (325)² +(120)² - a²] / 2(120)(325)
⇒ 0.3420 = [ 120025 - a²] / 78000
⇒ 120025 -a² = 26676
⇒ a² = 93349
⇒ a = 305.5
Total fencing required for triangular field = AB + BC +CA
= 120 + 325 + 305.5
= 750.5 feet
Hence, farmer need 750.5 feet fencing for his triangular field.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ2
how to prove triangles are congruent
Answer:
Step-by-step explanation:
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Answer:
by four method
Step-by-step explanation:
1st by AAA
2nd by AA
3rd by SSS
4th by SAS
What is the area of the rectangle below?
a. 16 units
b. 32 units?
c. 39 units
d. 52 units?
3 units
13 units
Answer:
39 units
Step-by-step explanation:
when its a rectangle just multiply the two side lengths together to get the answer
What is the perimeter of each figure? I'm sorry-
Answer:
1. 4x + 10
2. 3x + 22
The midpoint of \overline{\text{AB}} AB is M(5, 1)M(5,1). If the coordinates of AA are (3, 6)(3,6), what are the coordinates of BB?
Answer:
(7, -4)
Step-by-step explanation:
The formula for calculating midpoint is expressed as;
M(X, Y) = (x2+x1)/2, (y1+y2)/2
X = x1+x2/2
Y = y1+y2/2
Given
X = 5, Y = 1, x1 = 3, y1 = 6
Get x2
X = x1+x2/2
5 = 3+x2/2
10 = 3+x2
x2 = 10-3
x2 = 7
Get y2;
Y = y1+y2/2
1 = 6+y2/2
2 = 6+y2
y2 = 2-6
y2 = -4
Hence the coordinate of B is at (7, -4)
If the candies cost $0.80 per pound, how much money did Zachary spend all together? Show your work.
Answer:
Step-by-step explanation:
tfygggggggggggggggggggghzegrxdrcgfexrydgbfetyrhfgvbyhgrthvbthg6cygn
Tanijah paid $4.00 for 5 organic peaches. How much did she pay per peach?
Answer:
80 cents i think if i did my math right
Step-by-step explanation:
80 times 5 is 400
Adrian invested $790 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $2,550?
Answer:17
Step-by-step explanation:
trust me its right, no cap
As per compound interest, it would take 17 years for the value of the account to reach $2,550
What is the compound interest?If the invested amount is 'P', the rate of interest is r%, and the time of investment is 'n' years, then the compound interest after mentioned duration is = P[1 - [tex]e^{rn}[/tex]]
Given, the invested amount (P) = $790.
Rate of interest (r) = 6.9% = 0.069.
Let, the amount is invested for 'n' years.
The value of the amount after 'n' years = $2550.
Now, as per compound interest:
A = P. [tex]e^{rn}[/tex]
⇒ 2550 = 790 [tex]e^{(0.069n)}[/tex]
⇒ [tex]e^{(0.069n)}[/tex] = (2550 ÷ 790)
⇒ [tex]e^{(0.069n)}[/tex] = 3.23
⇒ 0.069n = 1.172
⇒ n = 17
Learn more about compound interest here: https://brainly.com/question/20903348
#SPJ2
The scale of a room in a blueprint is 5 in.: 9 ft. A wall in the same blueprint is 30 in. Complete the table.
Blueprint length (in.) 5
10
15
20
25
30
Actual length (ft)
9
How long is the actual wall?
The actual wall is
feet long
A window in the room has an actual width of 4.5 feet. Find the width of the window in the blueprint.
The width of the window in the blueprint is
in.
Answer:
54 feets
2.5 inches
Step-by-step explanation:
Given that:
Scale model:
5 in : 9ft
If 5 in = 9 ft
Hence, 1 in on the blue print equals
5 in = 9 ft
1 in = x
Cross multiply
5x = 9
x = 9/5 feets
Hence, 1 inches on the blueprint equals 9/5 feets actual
Blueprint length (in.) ___ Actual length (ft)
5 _________ 9
10 ________ 18
15 ________ 27
20 _______ 36
25 _______ 45
30 _______ 54
Hence ;
5 * 9/5 = 9 feets
10 * 9/5 = 18 feets
15 * 9/5 = 27 feets
20 * 9/5 = 36 feets
25 * 9/5 = 45 feets
30 * 9/5 = 54 feets
Window with actual width of 4.5 feets
Width of window in blue print :
Actual width ÷ 9/5
Actual width = 4.5 = 4 1/2 = 9/2
9/2 * 5 /9
= 5 /2
= 2 1/2 inches = 2.5 inches
What does a=? b=? Angle B=?
Answer:
If you were solving the right triangle, it would be:
m∠A = 46°
m∠B = 44°
m∠C = 90°
AB = 32
BC ≈ 23
AC ≈ 24
Step-by-step explanation:
To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:
m∠A = 46° (given)
m∠B = x
m∠C = 90° (given)
180 - (46 + 90) = x
180 - 136 = x
44 = x
m∠B = 44°
To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.
Recall that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
So:
sin46 = BC/32
BC = 32 (sin46)
BC ≈ 23
tan46 = BC/AC
AC = BC/tan46
AC = (23.01887361...) (tan46)
AC ≈ 24
Which is the correct equation for a line that has a slope of 2 and passes through the point (-1, -5). Use the graph below or graph paper if needed.
PLEASE HELP ASAP
A.y = 2x - 5
B.y = 2x + 5
C.y = 2x - 3
D.y = 2x + 3
9514 1404 393
Answer:
C. y = 2x - 3
Step-by-step explanation:
The y-intercept (b) can be found from ...
y = mx + b
y - mx = b . . . . . subtract mx
Here, you are given (x, y) = (-1, -5) and slope m = 2.
b = -5 -2(-1) = -5+2 = -3
The correct equation is ...
y = 2x -3 . . . . . matches choice C
_____
On the graph, you can plot point (-1, -5) left of the y-axis 1 unit and down from the x-axis 5 units. The slope of 2 tells you the line will rise 2 units from there to a y-value of -3 when it runs 1 unit to the right to an x-value of 0. That point (0, -3) is the y-intercept, showing you that choice C is correct.
Segment A'B' is parallel to segment AB.
What is the length of segment AB?
Answer:
7.5
Step-by-step explanation:
5/6=x/9
cross multiply
6x=45
x=45/6
x=7 3/6 = 7 1/2 = 7.5
Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.
Answer:
Im not sure but i think its b or c
Step-by-step explanation:
I would probably mostly recommend b
I urgently need help!!!!!!
Answer:
You are given a right triangle. The sum of the two acute angles should add up to 90 degrees. Set up an equation using the expressions given and solve for x. Once you know the value of x plug it back into each expression to find the measure for each angle.
Step-by-step explanation:
Angle 1 + angle 2 = 90
solve for x = ____
Plug the value into each expression to find the measure of each angle.
Answer:
D
Step-by-step explanation:
(2x+6)+(5x+14)=90
7x+20=90
7x=70
x=10
(2x+6)=26°
(5x+14)=64°
-(5 – 9) - (-2)(2)
how do i solve this?
Answer:
8
Step-by-step explanation:
-(5 – 9) - (-2)(2)
-(-4) - (-2)(2)
4 - (-4)
4 + 4
8
Use PEMDAS
Answer: The answer is 8
Step-by-step explanation:
20 POINTS PLZ HELP
4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.
Answer:
mmm... i think its 6-
Step-by-step explanation:
Write as a repeated addition. Use fraction
strips or a number line to calculate each
answer.
a) 2 x 1/3
b) 2 x 5/4
c) 4 x 5/2
d) 5 x 1/6
e) 6 x 3/5
f) 7 x 7/6
Please answer it it as quickly as possible....
Answer:
A) 2/3
B) 5/2
C)5/2
D) 5/6
E) 9/5
F) 49/6 (LOWEST TERM IT URSELF PLS)
the sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?
Answer:
By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.
What is the greatest common factor of the number pair 20 and 30
Answer:
10
Step-by-step explanation:
do prime factorizations of each number and multiply the common factors
20 = 2 · 2 · 5
30 = 2 · 3 · 5
common factors are 2 and 5
multiply them to get 10
PLLLLLEEEAAAAASSSSEEE ANSWER NEED HELP!!!!!!!!!!!!!!!!!!!!!! WILL MARK 5 STARS!!!!!!!!!!!!!!!!
Answer:
UT = 8
Step-by-step explanation:
From the picture, we can make the following equation...
5 + 2x - 6 = x + 6
By solving it we get
5 + 2x - 6 = x + 6
2x - 1 = x + 6
2x = x + 7
x = 7
Therefor if UT = 2x - 6, then UT is equal to...
2x - 6 = UT
2(7) - 6 = UT
14 - 6 = UT
8 = UT
1. Write the next three terms of the arithmetic sequence
1, 8, 15, 22, ...
Answer:
29,36,43
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
the numbers are being added by 7
1 + 7 = 8
8 + 7 = 15
and so on
-3(x-2) i am having trouble with this lol
Answer: -3x + 6
Step-by-step explanation:
Multiply using the disturbutive property.
Answer:
-3x + 6
Step-by-step explanation:
-3x - 3x (-2)
multiply it
-3x+6
Factorise 3y^3-4xy+2y
Answer:
3y^3-4xy+2y
y(3y²-4x+2)
WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set
Answer:
they need to save $630 in order to have enough for the trip
270 + 630 = $900
Plz help!!! 10 pts..
Answer:
63 boquets were sold in the afternoon.
Step-by-step explanation:
Divide 90 by 10 to get 9. Then multiply 9 by 3.
Answer:
23.1 pounds.
Step-by-step explanation:
Multiply 140 by 0.165.
Please help! I will mark brainliest if you are correct
convert 40/99 into a decimal round to the nearest tenth if possible
Answer:
.40
Step-by-step explanation:
convert the fraction to a decimal by dividing the numerator by the denominator.