Answer:
a). 21.2
Step-by-step explanation:
square has 4 sides
one side = 60÷4 = 15
Use pythogoras theorem to find the hypotenuse thus the diagonal of the square.
x = √(15² + 15²)
x = √(225 + 225)
x = √450
x = 21.21 (2 dp)
Mrs. Corbett signed 1/2 of all the holiday cards and Mr. Corbett signed 3/8 of all of them. Mrs. Smith will sign the rest of them. If there were 32 cards in all, how many are left to be signed by Mrs. Smith?
Answer:
4 cards
Step-by-step explanation:
1. Approach
First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.
2. Find out how many were signed
To find out how much a fraction of a certain value is, multiply the fraction by the value.
[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]
3. Find out how many were left
Now subtract the number of signed cards from the total number of cards.
[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]
Find the unit rate for this situation: ride a bike 64 miles in 4 hours
Convert 60°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
c=5 (F 32)
F=ŚC+32

Answer:
the answer is 15.5⁰ Celcius
Can you conclude that these triangles are congruent?
Answer:
yes
Step-by-step explanation:
each side is length by with so you can tell these are congruent
Answer:
Yes
Step-by-step explanation:
The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.
When you buy a new car it is a depreciating asset. Which means the moment you purchase your car it begins losing value. If you
tried to sell it back to the dealership they would pay you less than you bought it for. The depreciation of a car is around 15% per
year. Complete the graphic organizer below for a car worth $20,000
I can't see the graph but I'll try anyway
Answer:
x y
0 $20,000
1 $18,000
2 $16,200
3 $14,580
4 $13,122
5 $11,809.80
1/4 y + 9=1/2 A -34 b 2 c 9 d 38
please help will mark braileist
Answer:
EG
Step-by-step explanation:
help lol i cant read the text, please tell me how u did it too <3
I can't read the text either, can you zoom in a bit?
GIVING BRAINLIEST!!!
Answer:
i think its 78.5 but the answers not on there the closest one there to it is 76.5 so just put that one
Step-by-step explanation:
can you please help me with this problem
Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle
Answer:
D) triangle
Step-by-step answer:
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
PyramidA three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.
Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
Find out more on Pyramid at: https://brainly.com/question/218706
Acil cevap lütfen hemen atarsanız sevinirim (✿^‿^)♥️♥️♥️
Answer:
hai :D
Step-by-step explanation:
Also try D
AVALIAÇÃO DIAGNÓSTICA
Resolva os problemas abaixo
1) O quilo do feijão que custava R$ 3,90 teve um aumento de 70% Oual é o novo preço do quilo do
feijão?
2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentual
de aumento do aluguel dessa casa
Answer:
hhhsyeuru isuegrjro ehgeurov didyrhy
please help it almost due to 15 points
Answer:
a=30
b=15
c=3
d=30
e=10
Step-by-step explanation:
Solve for A first and continue solving for one variable at a time
Please help on both! Will give brainliest!!
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
What is the answer to this ? I totally forgot how to this kind of math 5/7 x 1/2
Answer:
5/14
Step-by-step explanation:
Answer:
5/14 or 0.357
Step-by-step explanation:
just multiply across (5x1 and 7x2 --> 5/14)
Please answer ASAP
The perimeter of a rectangle is 176 m. The length is equal to 3 times the width decreased by 4. Find the dimensions of the rectangle.
Answer:
L=65m
W=23m
Step-by-step explanation:
[tex]3W-4=L\\2L+2W=176\\\\2L+2W=176\\-2L+6W=8\\8W=184\\W=23m\\L=23*3-4=65m[/tex]
The length and width of the rectangle are 63m and 25m.
What is a rectangle?A rectangle is a quadrilateral, a 2d shape that has four sides and four vertices.
We have,
The perimeter of a rectangle = 176 m
Length of the rectangle = L = 3 x (W- 4 )
Width of the rectangle = W
The perimeter of a rectangle is given by:
176 = 2 ( L + W )
176 = 2 ( 3 ( W - 4 ) + W )
176 = 2 ( 3W - 12 + W )
176 = 2 ( 4W - 12 )
176 = 8W - 24
176 + 24 = 8W
200 = 8W
W = 200 / 8
W = 25 m
Now,
Put W = 25 in L = 3 x ( W - 4 )
L = 3 x ( 25 - 4 )
L = 3 x 21
L = 63 m
We can cross-check:
Perimeter = 2 ( 63 + 25 ) = 2 ( 88 ) = 176 m
Thus the length and width of the rectangle are 63m and 25m.
Learn more about rectangles here:
https://brainly.com/question/14207995
#SPJ2
Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back the money he had pad a total of 9281.25. How long did it take Marcus to pay back the money?
Answer:
2.5 years
Step-by-step explanation:
Given data
P=9000
r= 1.25%
A= 9281.25
The simple interest expression is given as
A=P(1+rt)
substitute
9281.25= 9000(1+0.0125*t)
9281.25=9000+112.5t
collect like terms
9281.25-9000=112.5t
281.25= 112.5t
t= 281.25/112.5
t= 2.5
Hence the time is 2.5 years
The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.
cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)
Answer:
8(cos35)
Step-by-step explanation:
Your welcome.
The expression that models the height is 8 cos35
SOH CAH TOA identityFrom the given information, we have the following
Hypotenuse = 8metersHeight = adjacentUsing the SOH CAH TOA identity
cos theta = adj/hyp
cos 35 = adj/hyp
cos 35 = adj/8
Hyp = 8 cos35
Hence the expression that models the height is 8 cos35
Learn more on SOH CAH TOA here: https://brainly.com/question/22307176
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
if its possible, whats -12/3 simplifies
Answer:
-4
Step-by-step explanation:
14% of math students got an A on the test. 29% got a B. What percentage of students got a C, D, or an F?
Answer:
57% of students
Step-by-step explanation:
14 + 29 = 43%
100% - 43% = 57%
120 pounds decreased by 5%
Answer:
114 pounds
Step-by-step explanation:
PLEASE HELP ASAP!!
Graph the function
h (x) = -4x-1.
Answer:
Hope this helps!
2
What is the system by which we can convert between
metric and customary units?
A None; it's different for every unit
B A base-6 algorithm
C A base-10 system
D A mix between multiplication and division
Answer:
i think that it's A.
Step-by-step explanation:
Metric units are the standard units of measurement while customary units are derived from the metric units. To convert between both units, you need a mix between multiplication and division.
Take distance as an instance.
The metric unit of distance is meters.
The customary units are: feet, inches, yards, miles, etc.
To convert from meters to feet, we multiply by 3.281
For instance:
[tex]2\ meters = 2 \times 3.281\ feet[/tex]
[tex]2\ meters = 6.562\ feet[/tex]
To convert from feet to meter, we divide by 3.281.
For instance:
[tex]6.562\ feet = \frac{6.562}{3.281}\ meters[/tex]
[tex]6.562\ feet = 2\ meters[/tex]
Hence, option (d) is true
Read more about metric and customary units at:
https://brainly.com/question/346695
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
Helppppppppppppppppp
Answer:
The answer will be 24
Step-by-step explanation:
Hope this Helped
Answer:
24
Step-by-step explanation:
help please with math
Answer:
(2 x a)+(3 x b)+c=total points
Step-by-step explanation:
: Santiago realizó los siguientes movimientos en su Cuenta bancaria: el lunes consignó $300.000, el martes retiró $120.000, el miércoles retiró $95.000 Y el jueves consignó $80.000. ¿Cómo se representan matemáticamente los movimientos bancarios de Santiago?
Answer:
Step-by-step explanation:
Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:
Lunes → + 300.000Martes → -120.000Miércoles → -95.000Jueves → +80.000Al realizar la sumatoria se obtiene:
+300.000 - 120.000 - 95.000 + 80.000 = + 165.000
En la semana Santiago obtiene en su cuenta bancaria $165.000