Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.
A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.
What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]9^{2} = 7^{2} + d^{2}[/tex]
[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer:
A
Step-by-step explanation:
a car travled 20 miles in 0.4 hours. what was the cars speed? Include units of measure.
Answer:5
Step-by-step explanation:∧
speed=distance/timedistance=20 miles
time=0.4
speed=20/0.4
Answer=5
PLEASE ANSWER WILL GIVE BRAINLIEST
Answer:
The answer is B
Step-by-step explanation:
V=lwh
3=15·15·20
3=1500
which is a common denominator of 1/4 and 3/5?
and
A.
9
B.
15
C.
16
D.
20
Answer:
20
Step-by-step explanation:
In a video game, Clare scored 50% more points than Tyler. If Tyler scored 60 points on the video game, how many
points did Clare score?
60
70
80
90
100
Which one
Answer:
90
Step-by-step explanation:
She scored 50% more so scored 1.5x tyler
1.5 * 60 = 90
Answer:
90
Step-by-step explanation:
so for this, all we have to do is add %50 of the first score to the second one, first lets find out what %50 of that score is
%50 of 60 = 30 (because %50 is half of something)
next, we add that new amount to the first score
60 + 30 = 90
so 90 is %50 more then 60, or 90 is %150 of 60
The Science Club went on a twoday field trip. The first day the members paid $50 for transportation plus s19 per ticket to the planetarium. The second day they paid $85 for transportation plus s16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for then members of the club. An expression that represents the total cost in dollars for two days for the n mambers Of the club is given by
Answer:
(50+19)+(85+16)
170xn
Step-by-step explanation:
the standard form of the equation through the points (-2,-2) and (2,-1)
Answer:
y = 1/4x - 3/2
Step-by-step explanation:
for slope, use formula (y2-y1)/(x2-x1):
(-1-(-2))/(2-(-2))
=1/4
use formula y=mx+b for equation:
y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))
-1=1/4(2)+b
-1=1/2+b
-3/2 = b
equation:
y = 1/4x - 3/2
673. Решите уравнения:
1) x: 5,8 = 365;
3) x: 8,1 = 0,15;
2) x : 8,4 = 2,3;
4) x: 0,22 = 4,9.
Answer:1 ) x: 5.8 = 365
Step-by-step explanation:
x = 365 × 5.8
x = 2117
2117: 5.8 = 365
2) x: 8.4 = 2.3
x = 2.3 × 8.4
x = 19.32
19.32: 8.4 = 2.3
3) x: 8.1 = 0.15
x = 0.15 X 8.1
x = 1.215
1.215: 8.1 = 0.15
4) x: 0.22 = 4.9
x = 4.9 x 0.22
x = 1.078
1.078: 0.22 = 4.9
find the value of x??
Answer:
[tex]\huge\boxed{x=10}[/tex]
Step-by-step explanation:
Look at the picture.
[tex]\dfrac{3x}{y}=\dfrac{4x+20}{2y}\qquad|\text{cross multiply}\\\\(3x)(2y)=(y)(4x+20)\qquad|\text{divide both sides by}\ y\\\\(3x)(2)=4x+20\\\\6x=4x+20\qquad|\text{subtract}\ 4x\ \text{from both sides}\\\\6x-4x=4x-4x+20\\\\2x=20\qquad|\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{20}{2}\\\\x=10[/tex]
Find the value of x. Round to the nearest tenth.
Answer:
x = 11.8
Step-by-step explanation:
Side a = 11.78983
Side b = 3
Side c = 10
Angle ∠A = 120° = 2.0944 rad = 2/3π
Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad
Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad
The answer for x is 11.8
A decreased by 20% and then increased by 20% express using algebra
asapppppp
Answer:
96%
Step-by-step explanation:
assume the whole number is x
the first thing is decreasing by 20 %
x - 20%x = 80% x
then now the 80%x is the whole number
now It's the turn of increasing
80%x + 20% * (80% x) = 80%x + 16%x = 96% x
I hope this is hlepful to you !!!!
Feel free to ask me in the comments
SHOW YOUR WORK/SHOW HOW YOU GOT YOUR ANSWER
Ella has $35 in her bank account. She deposited a check for $140 and then withdrew $80. How much money is left in her bank account?
Find the smaller angle (in degrees) between the hands of a clock at 3:25.
Answer:
uhh
Step-by-step explanation:
I'm not sure what It is
2 x 1/2 x 2 1/2 = 2 1/2
Is this correct?
Answer:
Yes
Step-by-step explanation:
2 x 1/2 = 1
1 x 2 1/2 = 2 1/2
Answer:
Yes
Step-by-step explanation:
2 x 1/2= 1
1 x 2 1/2= 2 1/2
3(n – 1) = 6
How do I solve this equation?
Answer:
n=3
Step-by-step explanation:
distribute, then add 3 to both sides, then divide both sides by 3
Answer:
n = 3
Step-by-step explanation:
3(n−1)=6
Step 1: Simplify both sides of the equation.
3(n−1)=6
(3)(n)+(3)(−1)=6(Distribute)
3n+−3=6
3n−3=6
Step 2: Add 3 to both sides.
3n−3+3=6+3
3n=9
Step 3: Divide both sides by 3.
3n/3 = 9/3\
n= 3
PWEASE HEELP:)In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Jennifer must spend $250 or more in order to qualify for a free t-shirt at the store. She already spent $112.49. How much more money does Jennifer need to spend so that she can earn the free t-shirt?
Answer:
ummmm this is easy
Step-by-step explanation:
she has to spend $137.51 more, all you have to do is
$250 - $112.49 = $137.51
I am not sure if you were serious with this question or not but here is the answer lulu
hope this helps :) :) :) :)
Find the slope. hsjsnsjsbjabajabahabh
Answer:
the slope is 2
Step-by-step explanation:
to find slope all you need to do is look at the places where the line and the graph intersect. you should be able to find atleast 2 places. Once you have done that, count up how ever many spaces it is until you are on the same line with the place where the line intersects with the graph remember that number in your head, then could left or right until you are on top of the other place where it intersects, remember that number. In this case I counted 2 spaces up and 1 space to the left which gave me 2/1 which is 2
hope this helps. have a good day!
Please answer fast I need the Answer
Answer:
just do it urself
Step-by-step explanation:
aid 100% more than b . Which of these shows the ratio a:b ? . A is 100:1 , B is 1:100, Cis 2:1 and D is 1:2
Answer:
a:b = 100:1
Step-by-step explanation:
Given:
a is 100% more than b
Find:
a:b
Computation:
Assume;
Common multiply = p
So,
b = p
a = 100P
a:b = 100p : p
a:b = 100:1
cinco ejemplos de incremento
Answer:
Ejemplos de incremento matemático que pueden ocurrir son:
-Suma: se adiciona una cantidad adicional a otra previamente existente. Ejemplo: 5 + 2 = 7, donde 5 es la cantidad inicial, y 2 es la cantidad adicional, sumando 7 como cantidad final.
-Multiplicación: aquí se adiciona el mismo número inicial tantas veces como su multiplicador indique. Ejemplo: 5 x 3 = 15, donde el número inicial 5 es sumado 3 veces (5 + 5 + 5) para dar un total de 15.
-Potenciación: en este caso se multiplica el mismo número por sí, por la cantidad de veces que indique el número potenciador. Ejemplo: 7^2, donde 7 es multiplicado por 7 dos veces, es decir, 7 x 7, cuyo resultado es 49.
Así, cinco ejemplos de este tipo de operaciones pueden ser:
6^3 = 216
4x4 = 16
25+90 = 115
77 + 2x8 = 93
88 + 14 = 102
Take ur time i just need a anwser ;w;
Answer:20 people
Step-by-step explanation:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-4,-2);
y = 2.c + 6
y = -32 – 14
Yes
No
O Maybe
Answer:
Yes
(-4,-2) is a solution of a given system of equation
Step-by-step explanation:
Explanation:-
Given that the equation
y = 2 x + 6 ..(i)
Given point (-4,-2)
substitute x =-4 and y = -2 in equation (i)
-2 =2(-4) +6
-2 = -8+6
-2 =-2
∴ The point satisfies the given equation
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth
Answer:
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.
This means that [tex]\mu = 105, \sigma = 15[/tex]
What if the probabability that the baby weighs less than 150 Oz?
This is the pvalue of Z when X = 150. SO
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 105}{15}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.999
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
72 paper clips to 63 paper clips
Answer:
72>63
Step-by-step explanation:
what is the rest of the question like in what form
Write 1.653 x 10-4 as an ordinary number.
Answer:
Here is the work ive done here, im a professional so i want to make it very easy for you to understand! Here is the answer: https://youtu.be/dQw4w9WgXcQ
Answer:
16530
Step-by-step explanation:
It is the answer..
guys pls help me pls
Answer:
[tex]77 {m}^{2} [/tex]
Step-by-step explanation:
Given,
Height of the parallelogram = 7m
Base of the parallelogram = 11 m
Therefore, area of the parallelogram = b × h
= 7m × 11m
[tex]77 {m}^{2} (ans)[/tex]
Find the greatest common factor of 7x and 4x?.
Answer:
GCF = x
Step-by-step explanation:
The factor decomposition is:
7 * x for the first term
2 * 2 * x for the second term.
The ONLY common factor is "x", and the maximum power at which it appears in BOTH terms is "1" (one)
Therefore GCF = x
Encuentra el valor de las variables de cada ecuacion
3x=6
Answer:
x = 2Step-by-step explanation:
3x = 6
6/3 = 2
x = 2
thank u it really helped
Answer:
who are you thanking? Lol
Step-by-step explanation:
Determine the solution to the system of equations
{8x-3y=-11
-4x+2y=6}
And write your solution as an ordered pair.
Help!!
Answer:
no sé pero no se y no se y más no se