Answer:
the answer is D
Step-by-step explanation:
An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters more than triple the width. What dimensions should she make the rectangle?
Answer:
The rectangle is 3.2 cm by 12.6 cm
Step-by-step explanation:
See attached image for a diagram.
Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.
Length = 3w + 3
The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.
The Pythagorean Theorem says [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex] so
[tex]w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\[/tex]
Now solve using the Quadratic Formula with [tex]a=5,\,b=9,\,c=-80[/tex].
[tex]w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2[/tex]
The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.
Pls need help Giving brainlest to the right anwser!!!
Answer:
1/6 or 3p = 1/2
Step-by-step explanation:
1/2 = 3p is the equation
So we need to divide 1/2 by 3 in order to get p
1/2/3 = 1/6
1/6 is p
3p = 1/2
lol can anyone help me asap
Answer:
A = 34.1 cm²
Step-by-step explanation:
Shape is a triangle.
Formula for area of a triangle is;
A = ½bh
In this triangle;
b is base = 11 cm
h is height = 6.2 cm
Thus;
A = ½ × 11 × 6.2
A = 34.1 cm²
Can someone answer this please
Answer:
Blue
Step-by-step explanation:
A straight line has an angle of 180 on each side.
5a+18+24-a+8a-30=180
12a+12=180
12a=168
a=14
Green: 14x5+18=88
Blue:24-14=10
Yellow:8x14-30=82
Determine the unknown measures of the triangle shown. Round to the nearest tenth, if necessary. x = in. y ≈ ° z ≈ ° A right triangle is shown. The hypotenuse has a length of x. The other 2 sides have lengths of 24 inches and 7 inches. The angle opposite to the side with length 7 inches is y, and the angle opposite to the side with length 24 inches is z.
9514 1404 393
Answer:
x = 25y = 16.3°z = 73.7°Step-by-step explanation:
The length of the hypotenuse can be found using the Pythagorean theorem:
x² = 7² +24² = 49 +576 = 625
x = √625 = 25
__
The angles can be found from the sine relation.
Sin = Opposite/Hypotenuse
sin(y) = 7/25
y = arcsin(7/25) ≈ 16.3°
The acute angles in a right triangle are complementary, so ...
z = 90° -16.3° = 73.7°
Answer:
x = 25 in.
y ≈ 16.3 degrees
z ≈ 73.7 degrees
Step-by-step explanation:
Which statement about 12 multiplied by 5/4 must be true?
•The product is greater than 12.
•The product is less than 5/4.
•The product is equal to 12 multiplied by the reciprocal of 5/4.
•The product is less than 12.
Answer:
The answer is A. The product is greater than 12
3. The parallelogram which measure 15 cm by 25 cm and a square have the same
perimeter. What is the length of one side of the square?
answer pls i follow and like and rate
Answer:
20 cm
Step-by-step explanation:
perimeter is found by add ing all sides, so 15+15+25+25 = 80
All sides of the square are equal so you divide the sum (80) by 4 which equals 20.
Answer:
20 cm
explanation: I think
Sana makatulong
The segments shown below could form a triangle.
A. True
B. False
Answer:
true
Step-by-step explanation:
Consider this expression (x+9)(x-2)-9×_6
What expression is equivalent to the given expression
Answer:
x^2 -2x-24
Step-by-step explanation:
Answer: (x+4)(x-6)
Step-by-step explanation: Plato Answer
which data set could not be represent by the box plot shown
Answer:
Mean, and the Mode
Step-by-step explanation:
the things it can represent are
Minimum: 4
Maximum: 14
First Quartile: 7
Second Quartile: 9
Third Quartile: 12
Median: 7.5
Find the equation of the straight line which passes through (3,5) and makes y-inte
r-intercept.
Answer:
Please restate your question.
It needs the y-intercept to be decipherable.
Step-by-step explanation:
the sum of two numbers is 8. the sum of the squares of the same two numbers is 40. what are the numbers?
Answer:
The numbers are 6 and 2
Step-by-step explanation:
Given this scenario, we can set up the following equations:
x + y = 8
x² + y² = 40.
___________
x + y = 8
y = 8 – x
(y)² = (8 – x)²
y² = (8 – x)²
x² + y² = 40
x² + (8 – x)² = 40
x² + 64 – 16x + x² = 40
2x² – 16x + 64 = 40
2x² – 16x = -24
2(x² – 8x) = -24
x² – 8x = -12
x² – 8x + 12 = 0
(x – 6)(x – 2) = 0
x = 6 or 2.
x + y = 8 →
(6 or 2) + y = 8
y = 8 – (6 or 2)
y = 2 or 6.
___________
x + y = 8 →
6 + 2 = 8 →
8 = 8 ✓
x² + y² = 40 →
6² + 2² →
36 + 4 = 40 →
40 = 40 ✓
Find the area in square inches. <3
NEED HELP WITH THIS please
Answer:
Step-by-step explanation:
Use the graph of the exponential function to answer the following question.
1 x)
21
2
-2
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A. The range is all real numbers.
B. f(x) is positive for all x-values less than 1.
C. As x increases, f(x) approaches, but never reaches, -1.
D. The x-intercept is 2.
HELP FILE IS BELOW MATH QUESTION ABOUT ANGLES
Answer:
A
Step-by-step explanation:
In image
l
v
it took 5 hours to mow 6 yards. at the rate, how many yards can be mowed in 20 hours
Answer:
24 yards
Step-by-step explanation:
Given: 5 hours to mow 6 yards.
To find: At the same rate, how many yards can be mowed in 20 hours?
Solution: There are lots of different ways of solving this but I will show you setting up fractions to know how much 5 hours are for 6 yards let "x" be the variable
Step 1: Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{6}{5} = \frac{x}{20} \\\\20*\frac{6}{5} = 20 * \frac{x}{20}[/tex]
Step 2: Cancel multiplied terms that are in the denominator
[tex]20*\frac{6}{5} = 20 * \frac{x}{20}\\\\20 * \frac{6}{5} = x[/tex]
Step 3: Multiply the numbers
[tex]20 * \frac{6}{5} = x\\\\24 = x[/tex]
Step 4: Move the variable to the left
[tex]24 = x\\\\x = 24[/tex]
Therefore, 24 yards can be mowed in 20 hours.
Expand (x-2)^2 in polynomial form
Answer:
x^2 -4x +4
Step-by-step explanation:
(x-2)(x-2)
x^2 -2x -2x +4
x^2 -4x +4
i hsve two questions, Matt is making a picture frame from a piece of wood trim that is 27 8 278 feet long. How can Matt rename the fraction as a mixed number?
and
Use comparative relational thinking to find the unknown number.
116
+
58
=
135
+
n
n
=
31
n is equal to 31
n
=
33
n is equal to 33
n
=
39
n is equal to 39
n
=
174
Answer:
Step-by-step explanation:
Find the missing term in the perfect-square trinomial.
____− 108y + 36
Answer: 81y^2
Step-by-step explanation: a^2-2ab+b^2=(a-b)^2 Plug values and solve.
pls answer ill mark brainlist in the screenie
Answer:
the green socks are cheaper than the orange
Step-by-step explanation:
common maths
Answer:
Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25
Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45
Green socks are cheaper
Step-by-step explanation:
Question 2 of 5
✓25 =
O A. 10
B. 6
C. 4
D. 5
Answer:
The answer would be : D. 5
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples will be used with the data collected showing the hours per week the husband spends on child care. The sample data is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
Complete question :
The time married men with children spend on child care averages 6.4 hours per week (Time, March 12, 2012). You belong to a professional group on family practices that would like to do its own study to determine if the time married men in your area spend on child care per week differs from the reported mean of 6.4 hours per week. A sample of 40 married couples are surveyed to collect the hours per week the husband spends on child care. The sample mean is 7.0 hours per week, and the sample standard deviation is 2.4276 hours per week. Use Excel to answer the following questions. a. What are the hypotheses if your group would like to determine if the population mean number of hours married men are spending in child care differs from the mean reported by Time in your area? b. What is the test statistics of the population mean? c. Using a .05 level of significance, what are the critical values? d. What is your conclusion?
Answer:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic = - 1.563
Critical value = ±2.023
Fail to reject the null ; there is no significant evidence to support the claim that mean number of hours spent differs
Step-by-step explanation:
H0 : μ = 6.4
H1 : μ ≠ 6.4
Test statistic, Z :
(Xbar - μ) / (s/√n)
(6.4 - 7) / (2.4276/√40)
-0.6 / 0.3838372
T= -1.563
α = 0.05 ; df = n - 1 = 40 - 1 = 39
Critical value(0.05, 39) = ±2.023
|T| > +Tcritical ; Reject the Null
Since |T| < +Tcritical ; then we fail to reject the Null, hence, we conclude that there is no significant evidence to support the claim that mean number of hours spent by married men in child care differs.
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The bulder needs to cut
? Inches off the block of wood.
Answer:
1.25 inches
Step-by-step explanation:
5 - 5% is 4.75
4.75 - 3.5 is 1.25
Relationship in Figures
Fill in the blank:
If two triangles are in perspective, then the intersection points of corresponding sides of the two triangles will be ________.
a. coplanar
b. collinear
c. coangular
d. coagulate
Please select the best answer from the choices provided
Answer:
B. Collinear
Step-by-step explanation:
I calculated logically
i give points for answer that sounds like a good reward
Answer:
6(x+3)=24
x represents the price of one ticket
x = 1
You can figure out the last part
Step-by-step explanation:
The x represents the price of one ticket because you are paying for 6 tickets and 6 - $3 snacks
6(x+3) = 24
x+3 = 4
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Indicate True of False for 3g > 15 Substitute 5 for g.
Answer:
False
Step-by-step explanation:
(3)(5)>15
15>15
False
Solve the equation 8-2x=-8x+14
Answer:
x= -3/5
Step-by-step explanation:
You deposit $300 in an account that pays 1.48% annual interest. What is the balance after 1 year if the interest is compounded daily?
A. $368.57
B. $304,47
C. $301.48
D. $301.01
Answer:C. $301.48
Step-by-step explanation:
I really need major help .
Answer:
Step-by-step explanation:
A)
exponential , b/c it curves upwards
B)
a linear graph with have a constant number of growth, and an exponential, needs that number to change, so that's why the exponent is required.
C)
Maybe a temperature function that could follow the outdoor temp over a few hour period , say in the morning.. as the temp goes up in a linear fashion.
maybe the temp at 8 am would be 50 then at 9 it would be 55 and at 10 it would be 60 and at 11 it could be 65 , something like that seems like it would be a good working example of a linear function that was not chosen