Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.
Answer:
3.5 meters.
Step-by-step explanation:
Please refer to the attachment.
Since the two triangles share two congruent angles, by AA Similarity, the two triangles are similar.
Therefore, we can write the following proportion:
[tex]\frac{3}{5}=\frac{2.1}{x}[/tex]
To find the height of the lamppost x, we will simply have to solve for x.
So, let’s cross-multiply:
[tex]10.5=3x[/tex]
Divide both sides by 3:
[tex]x=10.5/3=3.5[/tex]
Hence, the height of the lamppost is 3.5 meters.
a) Caesar, a leader of Rome, was born in 25 B.C.E. (before the year 0) and died in the
year 44. How old was he when he died?
Answer:
55
Step-by-step explanation:
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20 POINTS!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
9514 1404 393
Answer:
8x +96 yd
Step-by-step explanation:
The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.
The overall length is the sum of the two horizontal segments at top:
(x -2) +(3x) = 4x -2
The overall height is the sum of the right-side vertical segments:
10 + 40 = 50
Then the perimeter is ...
P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96
The perimeter is 8x +96 yards.
In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars
Answer:
7/8
Step-by-step explanation:
In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars?
To solve the above, we add all the fractions together.
= Incisors + Premolars + Molars
= 3/8 + 1/4 + 1/4
Least Common Denominator = 8
= (3 × 1 + 2× 1 + 2 × 1)/8
= 3 + 2 + 2/8
= 7/8
Hence, the fraction of all the teeth are incisors, premolars, and molars is 7/8
Which scenario below represents 85%?
At a winter concert, the ratio of the number of boys to the number of girls is 3:8. if there are 250 more girls than boys, how many
boys are at the concert?
Answer:
150
Step-by-step explanation:
if 3:8 , that means the difference is 5. the difference is 250, so 250/5 =50.
then u multiply 3 by 50 and get 150. ur welcome man
(picture)
for each number on the left,place a check mark under the numbers it is divisible by.
45- 3, 5, 9
369- 3, 9
7870- 2, 5, 10
1976- 2, 4,
6003- 3, 9
136- 2, 3, 4
1674- 2, 3, 6, 9
35496- 2, 3, 4, 6, 9
Two bags of bird seed are used to fill these three bird feeders. How much bird seed does each feeder use? Represent the situation using the model. Then solve
Step-by-step explanation:
If two bags of bird seed are used to fill these three bird feeders, then we can say that;
2 bags of bird seed = 3 bird feeders
To know the amount of bird seed that each feeder use, we will say;
x bags of bird seed = 1 bird feeder
Equating both postulates and solving
2 bags of bird seed = 3 bird feeders
x bags of bird seed = 1 bird feeder
Cross multiply
3 * x = 2 * 1
3x = 2
subtract 2 from both sides
3x - 2 = 2-2
3x - 2 = 0
Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.
Next is to solve for x;
3x - 2 = 0
3x = 2
x = 2/3
Hence each feeder used 2/3 bird seed
8. Could an angle be complementary to itself? If, so what would it’s measure be?
9. Could an angle be supplementary to itself? If so, what would its measure be?
Answer:
8) angle that is complement of itself is 45°
9) When an angle is its own supplement, that means that the angle, plus itself, will equal 180 degrees.
Step-by-step explanation:
04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
What is the slope of y=-x+7y?
Answer:
The slope of y=-x+7y is m = - 1.
Step-by-step explanation:
y = m x + c
The intercept is (0,7) | constant term.
4(c + 3) = t
solve for c
Answer:
c=1/4t-3
Step-by-step explanation:
2 1/2 + 3 5/8
Add the fractions
Answer:
This equals 6 1/8
Step-by-step explanation:
Hope it helps!
Answer:
6 1/8
2 1/2 becomes 5/2 then you multiply the numerator and denominator by 4
after that it becomes 20/8 than you make 3 5/8 into 29/8 and add them together which makes 49/8 but when you simplify it becomes 6 1/8
CAN SOMEONE HELP THIS IS DUE
Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?
Answer:
His time in mph is 16.1 mph
round 8.923 to the nearest half
Answer:
The answer is 8.9
PLEASE MARK BRAINLIEST
Answer:
8.9
Step-by-step explanation:
CAN SOMEONE GIVE ME THE STEPS I HAVE THE ANSWERS I JUST NEED THE STEPS
Problem 1:
1) 3/5x-1 x 3/4=9/10
3x/5-1 x 3/4=9/10
2) 3x/5-1 x 3/4=9/10
3x/5-3/4=9/10
3) 3x/5-3/4=9/10
+3/4 +3/4
4) 3x/5=33/20
5) 5 x 3x/5= 5 x (33/20)
6) 3x=33/4
7) 3x=33/4
/3 /3
8) x=11/4
Problem 2:
1) 6/7+2/5x=-4/5
6/7+2x/5=-4/5
2) 6/7+2x/5=-4/5
-6/7 -6/7
3) 2x/5= --58/35
4) 5 x 2x/5= 5 x (--58/35)
5) 2x= --58/7
6) 2x= --58/7
/2 /2
x= --29/7
pls help−4(3/2x−1/2)=−15
Answer:
17/6
Step-by-step explanation:
what you do first is open up the brackets..
so
-4 x 3/2x and -4 x -1/2
you then multiply these
-12/2x and 4/2
-6x and 2
(-6x+2) = -15
solve for x
-6x=-15 -2
-6x=-17
x=17/6
crossing out the negatives !
The price of an item has been reduced by 15% the original price was $73
Answer:
$62.05 is the new price
the reduced price is $10.95
Step-by-step explanation:
73*.85=62.05
I need help because I was debating if it’s is 5 or 6
Answer:
it should be 5.5
Step-by-step explanation:
cross multiply and solve as an equation
PLSSSSSSS HELP PLSSSSSSSSSS HELPP
Answer:
I will solve each one and work from there:
A. 4(5-y) ≥80
20-2y≥80
-2y≥60
y≥-30
B. 2(y-3) ≥ 8
2y-6≥8
2y≥14
y≥7
c. 3y-4>1
3y>5
y>5/3
d. -3/4 / 6y>1/4
-3/4>1/4 x 6y
Notice how for each inequality it is y≥ or > abc
Although for d it is a number greater than 1/4 x 6y
Based off that i would assume that D is correct
Step-by-step explanation:
Marissa substracted a negative number from a positive number. Her result was negative. Is that reasonable? Explain.
Answer: It is not reasonable.
Step-by-step explanation: when subtracting a negative number from a positive number the answer is always going to be positive because two negatives make a plus. For example 3-(-5). The two negatives cancel each other out, so it’s 3+5=8
I need some help and fast
Solve this plz
Answer:
It could be or 70 or 78
Step-by-step explanation:
Answer:
there the same they are both 84
Step-by-step explanation:
what is the y-intercept of this table? i dont understand it please help thank you.
Answer:
-0.4
Step-by-step explanation:
you just take 2 of them to find it
hi pls help :))))))))
Answer:
The last one
Step-by-step explanation:
how do you find the value of √a⁴ ??
(ill give brainliest)
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as [tex]a^{2}[/tex]
Tarek will spend at most $31 on gifts. So far, he has spent $16. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answer:
c<$15
Step-by-step explanation:
$31-$16>c
$15>c
c<$15
Martha compra 2 kilos de tomate y 1 kilo de cebolla pagando S/ 8,40. Si la siguiente semana compra 1 kilo de tomate y 2 kilos de cebolla pagando S/ 7,80, ¿a cuánto está el kilo de cebolla?
Responder:
2,40
Explicación paso a paso:
Dado que:
Dejar :
Tomate = t
Cebolla = n
(2 kilo de t) + (1 kilo de n) = 8.40
(1 kilo de t) + (2 kilo de n) = 7.80
2t + n = 8,40 - - (1)
t + 2n = 7,80 - - (2)
De (2);
t = 7,80 - 2n
Ponga t = 7.80 - 2n en (1)
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2 (2,40)
t = 7,80 - 4,80
t = 3
Por lo tanto, el costo de 1 kilo de cebolla es 2,40
Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
9514 1404 393
Answer:
400; building and equipment fixed cost
Step-by-step explanation:
The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.
The y-intercept is 400. It is the daily fixed cost of the building and equipment.
Answer:
The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.
Step-by-step explanation:
Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.
Have a good day :)
John is twice as old as Mary. The sum of their ages is 21. How old is Mary?
Let J = John's age and M = Mary's age. Select the system equations that represents the problem.
J - 2M = 0
J = M + 2
M - 2J = 0
J + M = 21
Answer:
Mary is 7
Step-by-step explanation:
If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old
Correct answers are:
J + M = 21
J - 2M = 0
Anna is testing different weights of certain things. The bucket she is holding that is full of water weighs 5lbs. Anna weighs herself and she is 97 pounds. She then drinks all of the water out of the bucket and then weighs herself again. Now she weighs 104 pounds. If the bucket of water she held was only 5 pounds, how did Anna gain 7 pounds from drinking the water out of it?
__________________________________________________
Answer:
Anna drank the water and holding the bucket, which weights 2 pounds, so:
97 + 5 + 2 = 104 poundsAnswer:
104 lbs.Step-by-step explanation:
Anna's self weight = 97
Anna drank the water = 5
bucket weights = 2
total = 104 lbs.