Answer:
Height is 135 ft
Step-by-step explanation:
Notice that wire, pole, and ground form a right angle triangle, for which we name h = height of the pole one of the legs (the horizontal leg) is h - 51. The wire (which is the hypotenuse of the right angle triangle is: h + 24.
Then we can use the Pythagorean theorem to solve for the height (h):
h^2 + (h - 51)^2 = (h + 24)^2
h^2 + h^2 -102 h + 2601 = h^2 + 48 h + 576
grouping all terms on the left of the equal sign, we get:
h^2 -150 h + 2025 = 0
This gives two possible answers:
h = 135
and
h = 15
We opt for h = 135, because the other solution will render a negative leg for the triangle.
Is 16:14 equivalent to 64:60
Answer:
no
Step-by-step explanation:
64/16 = 4
60/14 = 4.28...
Please help!! Timed!! Brainliest for correct, multiple choice !
Answer:
its d)x=3.
Step-by-step explanation:
If we're finding the extrema using the vertex then its x=3
3. What is the value of (4/3)^3
Answer:
64/27 = 2.37037037
Step-by-step explanation:
(4/3)^3
Calculate 4/3 to the power of 3 and get 64 /27
64/27
The slope is 2.
O True
O False
Answer:
false
Step-by-step explanation:
`Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-2}{1}[/tex]. So, it is false.
Answer:
False
Step-by-step explanation:
Slope = Change in y/ Change in x
=(1-3)/(2-1)
=-2
What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)?
Answer:
undefined
Step-by-step explanation:
Can someone help me with this problem?
Answer:
Step-by-step explanation:
The dashed vertical line indicates that -3 is not included so x is greater than -3. The diagonal line is solid indicating that it is included so y is greater than or equal to -4x/5 -2. So it is second answer.
How can you use ratios to convert metric units of measure?
Answer:
We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.
Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.
Step-by-step explanation:
Find the value of x.
9514 1404 393
Answer:
120°
Step-by-step explanation:
There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...
125° -90° = 35°
115° -90° = 25°
The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...
x = 180° -35° -25° = 120°
The value of x is 120°.
Answer:
not sure
Step-by-step explanation:
The product of two numbers is 110 the difference of two numbers is one what are the two numbers
Answer:
The correct answer is 10 and 11.
1. identify the corresponding sides on the figure below
What is the possible value of k such that √50 and √k can be written as a single term?
The possible value of k such that √50 and √k can be written as a single term is; 50
Since √50 and √k are equal as described in the question;
√50 = √k.
The question requests that we determine What is the possible value of k such that √50 and √k can be written as a single term.
The possible value of k is therefore; 50.
Read more;
https://brainly.com/question/11388449
I need help with this ion understand it
Answer:
c. 30
Step-by-step explanation:
Reference angle = [tex] /theta [/tex] = ?
Hypotenuse = 23
Adjacent side = 20
Thus, applying CAH:
[tex] Cos(/theta) = \frac{adj}{hyp} [/tex]
[tex] Cos(/theta) = \frac{20}{23} [/tex]
[tex] /theta = cos^{-1}(\frac{20}{23}) [/tex]
[tex] /theta = 29.5918458 [/tex] ≈ 30° (nearest degree)
Name the segment that is parallel to the
given segment.
9. AB
10. BC
11. EF
12. CA
13. GE
14. FG
Answer:
13 is the answer (GE) i hope this helped
a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?
Answer:
[tex]Tree = 17ft[/tex]
Step-by-step explanation:
Given
[tex]Wall = 4ft\ 3in[/tex]
[tex]Wall\ Shadow = 6ft[/tex]
[tex]Tree\ Shadow = 24ft[/tex]
Required:
Determine the height of the tree
To do this, we make use of the following equivalent ratios
Wall : Wall Shadow = Tree : Tree shadow
Substitute values for Wall, Wall Shadow and Tree Shadow
[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]
Convert all units to ft
[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]
[tex]4.25ft : 6ft = Tree : 24ft[/tex]
Convert to fractions
[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]
Cross Multiply
[tex]Tree * 6ft = 4.25ft * 24ft[/tex]
[tex]Tree * 6ft = 102ft^2[/tex]
Make Tree the subject
[tex]Tree = \frac{102ft^2}{6ft}[/tex]
[tex]Tree = \frac{102ft}{6}[/tex]
[tex]Tree = 17ft[/tex]
Hence, the tree is 17ft tall
Classify the following triangle Check all that apply.
12
YON
NA, obtuse
LM B salene
u Cequilateral
D. sosceles
E, acute
O Fright
Answer:
B and E
Step-by-step explanation:
✔️The triangle given has 3 unequal angles and 3 unequal side lengths. A scalene triangle has unequal angles and side lengths. Therefore, the triangle above is a scalene triangle.
✔️Each of the 3 angles of the triangle is less than 90°. An acute triangle has each of its 3 interior angles measuring less than 90°. Therefore the given triangle above is an acute triangle.
Find the 8th term of the geometric sequence 3, 12, 48, ....
Answer:
The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)
So, the required 8th term is 49152.
Geometric Series:The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.
The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]
And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]
The given series is,
3, 12, 48, ....
First term=3
The common ratio is,
[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]
So, the given series is geometric series so the 8th term by the above formula is,
[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]
Learn more about the topic Geometric Series:
https://brainly.com/question/26042879
What does this fraction show or model what’s the answer I need help
Answer:
I belive that the answer is D because there is 2 items and if u count the different colors by 1 it would be 6
In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.
-4, -2, 0, 2, ____, ____, ____,
Arithmetic
Geometric
Neither
Common difference
Common ratio
Answer:
d = 2
Next 3 terms = 4, 6 and 8
Step-by-step explanation:
Given the sequence
-4, -2, 0, 2, ____, ____, ____,
common difference = -2-(-4) = 0-(-2) = 2
Since they have the same common difference, hence it is an arithmetoc progression
Tn = a +(n-1)d
a is the first term = -4
n is the number of terms
d is the common difference = 2
Get the fifth term
T5 = -4+(5-1)2
T5 = -4+(4)(2)
T5 = -4 + 8
T5 = 4
T6 = -4+(6-1)2
T6 = -4+(5)(2)
T6 = -4 + 10
T6 = 6
T7 = -4+(7-1)2
T7 = -4+(6)(2)
T7 = -4 + 12
T8 = 8
Hence the next 3 terms are 4, 6 and 8
A line passes through the point (8,-8) and has a slope of 3/4. Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y + 8 = 3/4(x - 8)
y + 8 = 3/4x - 6
y = 3/4x - 14
Combine these radicals.
- 12V12-23
O -503
0-2275
O -263
0 -10/12
Answer
its the 3rd answer 26V3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another.
11. Harvey the wonder hamster can run 3 1/4 km in 1/2 hour. If Harvey runs at a constant rate, how fast can he run in 1 hour. (Write your answer as a decimal.) *
Answer:
He runs 6.5 km in one hour.
Step-by-step explanation:
3 ¼ km per half hour = 6.5 km per hour.
Answer:
12 2/3
Step-by-step explanation:
there are 4 quarters to 1 hour
3 1/6 x 4 =
19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour
pls mark brainliest
Please help im confused
Answer:
1) 65.1
2) 3.4
Step-by-step explanation:
sorry I can't explain well but those are the answers
Answer:
Step-by-step explanation:
area of rectangle = 8×5 = 40 cm²
area of semicircle = ½×π4² = 8π cm²
total area = 40 + 8π ≅ 65.1 cm²
:::::
area of circle = π2² = 4π in²
area of square = 4⁴ = 16 in²
blue area = 16 - 4π ≅ 3.4 in²
The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. The article "Nutrient Intakes and Dietary Patterns of Older Americans: A National Study" (J. of Gerontology, 1992: M145–150) reports the following summary data on intake for a sample of males age 65–74 years: n=115, barx =11.3, and s=6.43. Does this data indicate that average daily zinc intake in the population of all males ageing 65–74 falls below the recommended allowance?
A. State the null and alternative hypotheses.
B. Calculate the test statistic
C. Define the rejection region at ?=0.05.
D. Make a decision about the test and interpret.
E. Find the p-value corresponding to the test and based on which make a decision about the test. (The decision should be the same with D.)
Answer:
H0 : μ = 15
H1 : μ < 15
−6.170774
Step-by-step explanation:
Given :
n=115, barx =11.3, and s=6.43
H0 : μ = 15
H1 : μ < 15
−0.053658 ;
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(11.3 - 15) ÷ (6.43/sqrt(115))
Test statistic = −6.170774
Rejection region :
Reject Null ; if
Tstatistic < Zcritical
The P value is 0.00001 ; using the p value from Z calculator
Since,
P value < α
0.00001 < 0.05
Reject the null
compare fractions
HELP, GIVING BRAINLIEST
Answer:
a) 5/6
b) 7/8
c) 3/4
Step-by-step explanation:
Draw models for the fractions provided and compare.
Hope this helps.
Answer:
5/6<6/7 3/4<5/6>7/8 2/3>3/4>7/12
According to Open Data Network, in 2016 there were approximately 3,737 people per square mile in Houston, Texas. If Houston, Texas is 600 square miles, approximately how many people lived in Houston, Texas in 2016?
Answer:
Number of people lived in Texas = 2,242,200
Step-by-step explanation:
Given:
People per square mile = 3,737
Area of Texas = 600 square mile
Find:
Number of people lived in Texas
Computation:
Number of people lived in Texas = People per square mile x Area of Texas
Number of people lived in Texas = 3,737 x 600
Number of people lived in Texas = 2,242,200
4. The length of a rectangle is eight more
than twice its width. The perimeter is 96
feet. Find the dimensions of the rectangle.
Variable:
Equation:
Solution:
Answer:
L = length
W = width
L = 2(2W + 8)
W = 2W
Perimeter: 96 = 4W + 16 + 2W
96 = 6W + 16
80 = 6W
13.33 = W
Plug this into the equation:
2(13.33) + 8
26.67 + 8 or 34.67 = L
Step-by-step explanation:
Help with geometry please
9514 1404 393
Answer:
27/36
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
tan C = AB/CB
tan C = 27/36
Find the distance d(P1, P2) between the points P1 and P2.
P1 = (4,-5); P2 = (3,3)
d(P1,P2) =
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
[tex]\displaystyle d = \sqrt{65}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
P1 (4, -5) → x₁ = 4, y₁ = -5
P2 (3, 3) → x₂ = 3, y₂ = 3
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3-4)^2+(3--5)^2}[/tex][Distance] [√Radical] (Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(3-4)^2+(3+5)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(-1)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{1+64}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Sam ate 2/7 of a pizza. Jules ate 2/5 of the same pizza, not the portion of it left by Sam. How much was left. Write a fraction.