Answer:
See below.
Step-by-step explanation:
Remember SOHCAHTOA.
Soh... Sine = Opposite / Hypotenuse
...cah... Cosine = Adjacent / Hypotenuse
...toa Tangent = Opposite / Adjacent
In this case, we’ll use CAH.
cos(45) = x/6[tex]\sqrt{2}[/tex]
x = cos(45) * 6[tex]\sqrt{2}[/tex]
x = 6
Answer:
x = 6
Step-by-step explanation:
this is a 45-45-90 triangle where the leg to hypotenuse ratio is always 1 : [tex]\sqrt{2}[/tex]
so if a leg equals two then the hypotenuse is 2[tex]\sqrt{2}[/tex]
in this case, x = 6[tex]\sqrt{2}[/tex] ÷ [tex]\sqrt{2}[/tex] which is 6
Lee kept track of how many kilometres she walked each week for the past two months.
These are the number of kilometers she walked each week.
8, 10 , 9, 10, 7, 8, 8, 4
Find the mean, median, and mode.
Which measure of central tendency will help her predict how much she will walk in week six.
Answer:
median: 8
mode: 8, 10
mean: 8
The mean will help her predict how much she will walk in week six.
Step-by-step explanation:
First order the numbers:
4, 7, 8, 8, 8, 9, 10, 10
median: 8
mode: 8, 10
mean: 8
Which measure of central tendency will help her predict how much she will walk in week six. The mean will help her predict how much she will walk in week six.
HELPP PLEASEEE thanks!
Answer:
about 1587
that is the answer to the question
Step-by-step explanation:
I just typed it in a calculator
Answer: D
Step-by-step explanation:
Area is pi x r^2
Diameter is 2r
46.7/2 = 23.35
3 x 23.35^2 = 1635.67 or closest to D
Solve for xxx in the diagram below.
If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.
Answer:
[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]
7.865 rounded to the nearest whole number
Answer:
8
Step-by-step explanation:
Since the first decimal place is greater than 5, it rounds to 8, because 8 is the next whole number to 7.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The number of texts per day by students in a class is normally distributed with a
mean of 130 texts and a standard deviation of 20 texts. Identify all true statements.
1. A little more than 2% of the students text
under 90 times per day.
2. About 50% of the students text more than 130 times per day.
3. About 15% of the students send over 190 texts per day.
4. About 68% of the students text between 100 and 130 times.
5. A student texting 130 times per day would have a z score of 1.
6. A student texting 160 times falls between 1 and 2 standard deviations from the mean.
Answer:
1, 2, 6
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation[/tex]
Given that mean (μ) = 130 texts, standard deviation (σ) = 20 texts
1) For x < 90:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{90-130}{20} =-2[/tex]
From the normal distribution table, P(x < 90) = P(z < -2) = 0.0228 = 2.28%
Option 1 is correct
2) For x > 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
From the normal distribution table, P(x > 130) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 50%
Option 2 is correct
3) For x > 190:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{190-130}{20} =3[/tex]
From the normal distribution table, P(x > 3) = P(z > 3) = 1 - P(z < 3) = 1 - 0.9987 = 0.0013 = 0.13%
Option 3 is incorrect
4) For x < 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
For x > 100:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{100-130}{20} =-1.5[/tex]
From the normal table, P(100 < x < 130) = P(-1.5 < z < 0) = P(z < 0) - P(z < 1.5) = 0.5 - 0.0668 = 0.9332 = 93.32%
Option 4 is incorrect
5) For x = 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{130-130}{20} =0[/tex]
Option 5 is incorrect
6) For x = 130:
[tex]z=\frac{x-\mu}{\sigma} \\\\z=\frac{160-130}{20} =1.5[/tex]
Since 1.5 is between 1 and 2, option 6 is correct
Question 12
A tree is standing next to a 40 foot high building. The tree has an 18 foot shadow, while the building has a 16 foot shadow. How tall is the tree rounded to the nearest foot?
А
42 feet
B
36 feet
c
45 feet
D
7 feet
2021 Illuminate Education Inc
Answer:
A
Step-by-step explanation:
PLS HELP ASAPPPPPPPPPPPPPP
Answer:
G
Step-by-step explanation:
36+36=72
180-72=108
360-(108×2)
144
144÷2
72
PLEASE HELP
2. If f(x) = 3x2 – 7x + 2, then f(- 1) = ?
(A) 18
B. 12
C.-2
D.-8.
Answer: B. 12
Step-by-step explanation:
f(x) = 3x2 – 7x + 2
f(- 1) = ?
f(-1)=3(-1)^2-7(-1)+2
=3(1)+7+2
=3+7+2
=12
(NEED HELP ASAP) The map is similar to the map from the previous unit. The x-axis runs from -110 to +110. For the y-axis, the values run from -80 to +80. Each tick mark on the axes has the value of 5 m (so each square on the grid represents 10 m). The additional path, Archimedes Alley has been added to the map.
The standard form for one of the three equations is 9x - 20y - 900 = 0.
i) Determine the x- and y-intercepts for the line.
ii) Identify its equivalent equation in slope y-intercept form.
iii) Explain how you chose the equation in slope y-intercept form.
Which is a true statement?
A. m^2– n^2 = (m-n)(m-n)
B. m^2 + n² = (m + n) (m + n)
c. m^3 - n^3= (m - n) (m^2+ mn + n^2)
D. m^3+ n^3 = (m+n)(m^2 + mn +n^2)
Answer:
C-true
Step-by-step explanation:
A-false
B-false
C-true
D-false
used substitution
The product of the two expressions (m - n)(m + n) gives x² - 4
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the expression (m - n)(m + n):
Multiplying the two expressions gives:
m² + mn - mn - n²
This gives:
m² - n²
The product of the two expressions (m - n)(m + n) gives x² - 4
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
what you would do if Jesus came to your house.
Answer:
Give him a Big hug and be so happy
Ask him all the questions that I have by my thinking marathon at 3 a.m.
Please answer
Evaluate 60st when s = 5 and t = -3.7
Answer:
[tex]60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110[/tex]
Answer:
-1110
Step-by-step explanation:
given:
s = 5
t = -3.7
to find
60st
=60*s*t
=60*5*(-3.7)
=300*-3.7
=-1110
Which of the following is equivalent to the expression below?
log 4-log 24
Answer:
log (1/6)
Step-by-step explanation:
Using the property that log a - log b = log(a/b), we get that log 4 - log 24 = log(4/24) = log (1/6)
I hope this helps! :)
whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!
Answer:
me :- mighty assassin-,-
xd
Rationalize 1/√18
Will Mark as Brainliest for the best
Answer:
[tex]\frac{\sqrt{2} }{6}[/tex]
Step-by-step explanation
[tex]\frac{1}{\sqrt{18} } \\\frac{1}{\sqrt{18} } *\frac{\sqrt{18} }{\sqrt{18} } \\\frac{1*\sqrt{18} }{(\sqrt{18} )^2} \\\frac{1\sqrt{18} }{18} \\\frac{3\sqrt{2} }{18} \\\frac{\sqrt{2} }{6}[/tex]
Andrew found a pan of brownies with 3/4 of the brownies left. He ate 1/3 of what was left. What portion of the whole brownies did he eat?
Answer:
1/4
Step-by-step explanation:
Andrew found a pan of brownies with 3/4 of the brownies left. He ate 1/3 of what was left. What portion of the whole brownies did he eat?
The size of the brownies Andre ate =
1/3 of 3/4
= 1/3 × 3/4
= 1/4
Therefore, the portion of the whole brownies that Andre ate was 1/4
Which of the following theorems verifies that XYZ - UWV
Answer:
I think it's AA because the sum of a triangle is 180 and if you subtract the right angle and the other angle from 180 it gives you the same angle in the other triangle.
Step-by-step explanation:
180-(90+70)=20 The other angle in the first triangle
180-(90+20)=70 The other angle in the second triangle
These angles show that they're similar
Which expression is equivalent to the following complex fraction?
1/x-1/y
_____
1/x+1/y
Answer:
b
Step-by-step explanation:
1/x-1/y
Answer:b
Step-by-step explanation:math
which is the smallest?
9.4
12.19
12.469
12.4969
Answer:
9.4 is the smallest :)
Hope this helps!
please help me i have 5 minutes left: )! ill give Brainliest thanks<3
Answer:
B
Step-by-step explanation:
B
(15 Points)
Question: Triangle ABC has the coordinates A (4,2), B (7,6) and C (7,2). Is this an equilateral triangle, a right triangle, or an isosceles triangle. Use evidence to explain your answer.
Answer:
this is an equilateral triangle
by using distance formula
last one!!
pls help!!
Answer:
1) Slope = 2; y-intercept = 3
2) Slope = -3.7; y-intercept = 18
Holly checked her answer to a division problem by estimating the quotient. Which is the best estimation of the
quotient?
5.97)
23.584
4
5
6
7
Answer:
4
Step-by-step explanation: 6 22 22 04
it looks like you want to divide 23.584 by 5.97
to estimate this 23.584 is close to 24 and 5.97 is really close to 6
24/6 = 4
2. Find the base of a triangle which has an area of 2 1/4 square inches, and a height of 1/8 in.
Answer:
36 inches
Step-by-step explanation:
Given data
Area of triangle =2 1/4 square inches
Area =9/4 square inches
Height of triangle =1/8 inches
We know that the expression for the area of triangle is
Area = 1/2Base *Height
9/4=1/2*Base *1/8
9/4=Base/16
Cross multiply
16*9=Base*4
144=Base*4
Base =144/4
Base=36 inches
Is -33.1 a whole number
Answer:
No
Step-by-step explanation:
This is because it's part of a whole. It has to be an integer to be whole.
Answer:
no because Whole numbers include positive integers along with 0 and also Whole numbers include natural numbers that begin from 1 onwards and also this a negative are not considered as a whole number so its a no
Step-by-step explanation:
Which of the following is the value of 2x3 + 5x + 9 wher
x= 10?
Answer:
Ans = 65
Step-by-step explanation:
2x3 + 5x + 9
2x3 + 5x10 + 9
6 + 50 + 9
56 + 9
= 65
Find the largest interior angle of the
triangle given the information below.
C bears 056° from D.
F bears 115° from D
F bears 184° from C.
Answer:
The largest interior angle of ΔCDF is ∠F
Step-by-step explanation:
The bearings of the vertices of the triangle are given as follows;
The bearing of C from D = 056°
The bearing of F from D = 115°
The bearing of F from C = 184°
By angle addition property, we have;
The bearing of F from D = The bearing of C from D + ∠D
∴ ∠D = The bearing of F from D - The bearing of C from D
By plugging in the values, we have;
∠D = 115° - 056° = 59°
∠D in triangle ΔCDF = 59°
∠D = 59°
By alternate interior angles, we have;
The bearing of C from D = 056° = ∠BCD
Also, we have;
The bearing of F from C = ∠BCF + ∠ACB
∠ACB = 180°
∴ ∠BCF = The bearing of F from C - ∠ACB
∠BCF = 184 - 180° = 4°
∠C in ΔCDF = ∠BCD - ∠BCF
∴ ∠C = 056° - 4° = 52°
∠C = 52°
From angle sum property of ΔCDF, we have; ∠F = 180° - ∠C - ∠D
Therefore; ∠F = 180° - 52° - 59° = 69°
We have; ∠C = 52°, ∠D = 59°, ∠F = 69°, therefore;
∠F in triangle ΔCDF, has the largest interior angle.
Solve using the quadratic formula: 2x^2 + 7x - 5 = 0
Step-by-step explanation:
my answer is in the above image
The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to find the value of h. Then, explain how this value translates the graph of the parent function.
Answer:
ty
Step-by-step explanation:
mtj