Answers
Answer:
8 feet
Step-by-step explanation:
Let b be the length of the base. Then the height is b+6 ft.
The area of the parallelogram is given by:
Area = b(b + 6) = 160
Solving for b, we get,
[tex]b^2 + 6b - 160 = 0[/tex]
Factoring the expression, we get:
(b - 8)(b + 20) = 0
Therefore, b = 8 or b = -20.
Since the base cannot be negative, b = 8.
Therefore, the length of the base of the parallelogram is 8 feet.
Related Questions
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
Answers following the rounding instructions: see below for details
BC = 5.1
m∠B = 23°
m∠V = 116°
Step-by-step explanation:
Givens:
AC = 3
AB = 7
m∠A = 41°
Unknowns:
BC = ?
m∠B = ?
m∠C = ?
Find side BC using the law of cosines: c² = a² + b² - 2ab cos(C)
a² = 3² + 7² - 2(3)(7)(cos41)
a = √9 + 49 - 42(cos41)
a = 5.128 ≈ 5.13
side BC = 5.13
Use the law of sines to find m∠B: sin(A) / a = sin(B) / b = sin(C) / c
m∠B = sin⁻¹[sin41/5.13 x 3] = sin⁻¹(0.3837) = 22.56 ≈ 22.6°
Sum of interior angles of a triangle is 180, so now you can find m∠C:
m∠C = 180 - 22.6 - 41 = 116.44 ≈ 116.4°
Rounding side BC to nearest tenth: BC = 5.1
Rounding angles to nearest whole degree:
m∠B = 23°
m∠V = 116°
100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answers
Answer:
38.9 in²
Step-by-step explanation:
You want the area of the composite figure that is an 8-inch square with a semicircle removed.
Semicircle areaThe missing semicircle has a diameter of 8 in, so a radius of 4 in. The area of that half-circle is ...
A = 1/2πr² = (π/2)(4 in)² = 8π in² ≈ 25.1 in²
Square areaThe area of the square without the semicircle removed is ...
A = s² = (8 in)² = 64 in²
Composite areaAfter removing the semicircle from the square, the remaining area is ...
A = square area - semicircle area
A = 64 in² -25.1 in² = 38.9 in²
The area of the figure is about 38.9 square inches.
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how many inches is it from end to end on a bed that is 6 feet long? It is measured in the.
Answers
The calculated inches from end to end on the bed is 72 inches
How to determine the inches from end to end on the bedFrom the question, we have the following parameters that can be used in our computation:
Length = 6 feet long
By conversion of units, we have
1 feet = 12 inches
using the above as a guide, we have the following:
Length = 6 * 12 inches long
Evaluate the products
Length = 72 inches long
Hence, the inches from end to end on the bed is 72
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find the surface area
Answers
The surface area of the cylinder is: 156π.
Here, we have,
given that,
the cylinder has:
radius = 6 in
height = 10 in
now, surface area of the cylinder is:
SA = 2πrh + πr²
here, we have,
SA = 2π *6 * 10 + π6²
= 120π + 36π
= 156π
Hence, The surface area of the cylinder is: 156π.
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ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST SOMEBODY PLEASE PLEASE HELP ME IM BEGGING YOU
Answers
Answer:
B Mean: 17.5 | W Mean: 20.5 | B Mode: 15 | W Mode: 20.5 | B Mode: 14 & 15 | W Mode: 20 & 21 | B Range: 17 | W Range: 3
Step-by-step explanation:
100 Points! Geometry question. Find each measure. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
a. 73°
b. 98°
Step-by-step explanation:
In quadrilateral EFGH
∡E+∡G=180° sum of opposite angle of quadrilateral inside the circle is 180°
substituting value
11x+8+8x+1=180°
19x+9=180°
19x=180=9
19x=171
x=171/19
x=9°
similarly,
∡H+∡F=180° sum of opposite angle of quadrilateral inside the circle is 180°
substituting value
6y-4+5y-3=180°
11y-7=180°
11y=180°+7
11y=187°
y=187/11
y=17°
Now
a. m∡G=8x+1=8*9+1=73°
b. m∡H=6y-4=6*17-4=98°
A 27 - foot ladder is leaning against the wall. If the top of the ladder touches 22.5 feet up the wall, what is the angle evaluation of the ladder
Answers
Answer:
Step-by-step explanation:
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
Answers
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
Need the answer ASAP
Answers
Answer: A. x=3 y= -1 z=4
Step-by-step explanation:
I plugged it into my graphing calculator.
>2nd Matrix
>Edit >A
>choose 3x3
>Enter all coefficients as they look
>2nd Matrix
>Edit >B
>Choose 3x1
>Enter answers as they look
Go to main page
[tex][A]^{-1} [B]\\[/tex]
Answers end up being 3, -1, 4
a shade of paint purple berry can be made by mixing red and blue paint in the ratio 5:2. Emma has 30 litres of red paint and 10 litres of blue paint.work out the maximum volume of purple berry that can be made
Answers
Answer:The max volume of Purple berry paint is 85
Step-by-step explanation:
Purple = Red + Blue
P = 5 : 2
Simplify 5 : 2 which is 2.5 : 1
P = 30L : 10L
P = (30 x 2.5 ) + (10 x 1)
P = 75 + 10
P = 85 L
A stainless steel patio heater is a square pyramid. the length of one of the base is 23.8. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?
Answers
To find the height of the square pyramid, we can use the Pythagorean theorem. The slant height of the pyramid (s) is the hypotenuse of a right triangle formed by the height (h), half the length of the base (b/2), and the slant height.
Using the Pythagorean theorem:
s^2 = (b/2)^2 + h^2
We are given that the length of one of the base sides (b) is 23.8 and the slant height (s) is 89.3.
Plugging in the values:
89.3^2 = (23.8/2)^2 + h^2
Simplifying:
h^2 = 89.3^2 - (23.8/2)^2
h^2 = 7950.49 - 141.64
h^2 = 7808.85
Taking the square root of both sides:
h = √7808.85
h ≈ 88.37
Therefore, the height of the square pyramid is approximately 88.37 inches.[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
Suppose that the volume, V,
of a right circular cylinder is
1280 cubic centimeters and
the radius of its base is
8 centimeters. What is the
height of the cylinder?
D
Answers
Answer:
[tex]\huge\boxed{\sf h \approx 6.4\ cm}[/tex]
Step-by-step explanation:
Given data:Volume = v = 1280 cm³
Radius = r = 8 cm
π = 3.14
Required:Height = h = ?
Formula:V = πr²h
Solution:Put the given data in the above formula.
Finding height of cylinder.
1280 = (3.14)(8)²(h)
1280 = (3.14)(64)(h)
1280 = 200.96 (h)
Divide both sides by 200.961280 / 200.86 = h
h ≈ 6.4 cm[tex]\rule[225]{225}{2}[/tex]
Find x (circle)
(Btw I don’t know if 5.6 is correct so just ignore that)
Answers
Answer:
A. 11.2
Step-by-step explanation:
But this has nothing to do with 5.6 × 2. Erase that! Lol.
You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.
The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.
The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.
The hypotenuse is 14.
Let's do some Pythagorean Theorem.
Leg^2+ leg^2=hypotenuse^2
you know,
a^2 + b^2 = c^2
fill in what we know.
8.4^2 + b^2 = 14^2
simplify.
70.56 + b^2 = 196
subtract 70.56
b^2 = 125.44
squareroot both sides
b = 11.2
A sample of 22 observations selected from a normally distributed population produced a sample variance of 18 . a. To see if the population variance differs from 14 write the null and alternative hypotheses. b. Using �=.05α=.05, find the critical values of �2χ2. Display the chi-square distribution curve's rejection and nonrejection areas. c. Determine the test statistic �2χ2 value. d. Will you reject the null hypothesis presented in component an at a 5% significance level?
Answers
The degrees of freedom is 21, the critical values correspond to the points where the chi-square distribution curve separates the rejection and non-rejection areas and chi-square test statistic is 27.
The null and alternative hypotheses can be stated as follows:
Null Hypothesis (H0): The population variance is equal to 14.
Alternative Hypothesis (Ha): The population variance differs from 14.
To find the critical values of χ2 with α = 0.05, we need to determine the degrees of freedom first.
For a sample variance, the degrees of freedom (df) is given by (n - 1), where n is the sample size.
In this case, n = 22, so the degrees of freedom is 21.
Using a chi-square table or statistical software, we can find the critical values for a chi-square distribution with 21 degrees of freedom and α = 0.05.
The critical values correspond to the points where the chi-square distribution curve separates the rejection and non-rejection areas.
To determine the test statistic χ2 value, we need to calculate the chi-square test statistic using the given information.
The chi-square test statistic is calculated as:
χ2 = (n - 1) ×(sample variance) / (population variance)
Plugging in the values, we have:
χ2 = (22 - 1) × 18 / 14
=27
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The cafeteria lunch menu lists:
Pizza Cheese, Sausage, Pepperoni
Dessert - Pudding or Cookie
Drink-Water, Milk, Soda
How many different lunch meals can you construct from these choices?
O 18
O
O 81
03
Answers
Answer: 18
Step-by-step explanation:
Multiply number of each item possible
3*2*3=18
What is n^2-11n+10
Please explain step by step and detailed to get the answer
Answers
The factored expression of n² - 11n + 10 is (n - 10)(n - 1)
How to factorize the expressionFrom the question, we have the following parameters that can be used in our computation:
n² - 11n + 10
To determine the pair of factors to factor the expression, we find two expressions
That must add up to -11nThat must mutiply to 10x²using the above as a guide, we have the following:
The expressions are -10n and -n
So, we have
n² - 11n + 10 = n² - 10n - n + 10
When factored, we have
n² - 11n + 10 = (n - 10)(n - 1)
Hence, the factored expression of n² - 11n + 10 is (n - 10)(n - 1)
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Jane buys p packets of plain crisps and c packets
of cheese and onion crisps. Write down an
expression for the total number of packets of
crisps Jane buys.
Answers
The expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
How to obtain the total number of packets?The amounts of packets of crisps purchased are given as follows:
p packets of plain crisps.c packets of cheese and onion crisps.The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.
Hence the expression for the total number of packets of crisps that Jane buys is given as follows:
p + c.
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Write a sine function with an amplitude of 5, a period of
Pi/8,and a midline at y = 7.
f(x) = 4sin(8x) + 5
f(x) = 5sin(16)+7
f(x) = 5sin(16x) + 4
f(x) = 4sin(8x) + 7
Answers
Answer:
[tex]\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}[/tex]
Step-by-step explanation:
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function[tex]\boxed{f(x) = A \sin (B(x + C)) + D}[/tex]
where:
A is the amplitude (height from the midline to the peak).2π/B is the period (horizontal distance between consecutive peaks).C is the phase shift (horizontal shift - positive is to the left).D is the vertical shift (y = D is the midline).Given values:
Amplitude, A = 5Period, 2π/B = π/8Phase shift, C = 0Vertical shift, D = 7Calculate the value of B:
[tex]\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16[/tex]
Substitute the values of A, B C and D into the standard formula:
[tex]f(x) = 5 \sin (16(x + 0)) + 7[/tex]
[tex]f(x) = 5 \sin (16x) + 7[/tex]
Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:
[tex]\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}[/tex]
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer:
B. Similar
Step-by-step explanation:
The two spheres are similar, but not congruent. They have the same shape, but different sizes.
The scale factor between the two spheres is 9/6= 3/2, which means that the radius of the larger sphere is 3/2 times the radius of the smaller sphere.
8 minutes before 6=?
Answers
Answer:
5:52
Step-by-step explanation:
Answer: 5:52
Step-by-step explanation:
100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answers
Answer:
626.71 cm^2
Step-by-step explanation:
Area of figure = area of half circle + Area of half circle + area of a rectangle
here, diameter=15 cm
radius = 15/2=7.5 cm
length=30cm
breadth=15cm
Now
Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth
=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15
=626.71 cm^2
Can someone help me with 12 & 13. And show your work!
Answers
Answer:
please see answers below
Step-by-step explanation:
Volume of sphere = (4/3) X π X r ³
volume of hemisphere = (2/3)X π X r ³
12) volume of hemisphere = (2/3)X π X r ³
= (2/3) X π X (5)³
= (250/3)π
= 261.80 km³ to nearest hundredth
13) 18 foot is the diameter. radius = 1/2 X diameter = 9.
volume of hemisphere = (2/3)X π X r ³
= (2/3) X π X (9) ³
= 1526.81 ft³ to nearest hundredth
10 cm
15 cm
17 cm
5 cm
What is the volume of this figure?
6 cm
10 cm
Answers
The Volume of Trapezoidal prism is 420 cm².
From the given figure we can write the dimension of the prism as
a = 5, b=15, c= 15, d= 15
h= 7 and l = 6 cm
Now, Volume of Trapezoidal prism
= 1/2 (a+b) x h x l
= 1/2 (5+15) x 7 x 6
= 1/2 x 20 x 42
= 10 x 42
= 420 cm²
Thus, the Volume of Trapezoidal prism is 420 cm².
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A spinner has six equal-sized sections. The sections are labeled red, blue, green, red, blue, and blue. How many outcomes are in the sample space?
Answers
The outcomes that are in the sample space are red, blue, green, red, blue, and blue.
How to determine the outcomes that are in the sample space?From the question, we have the following parameters that can be used in our computation:
Spinner = 6 sections
This means that
The spinner has 6 sections and as such, the sample size of the spinner is 6
The sample space are the colors in the spinner
So, we have
Space = red, blue, green, red, blue, and blue.
Hence, the outcomes that are in the sample space are red, blue, green, red, blue, and blue.
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Find the area of the following rectangle. a = 12 ft b = 14 ft A = ft 2
Answers
Answer:
The area of the rectangle is 168 ft².
Step-by-step explanation:
Formula: A = lw
where l and w are the length and width of the rectangle respectively.
We're given with the length and the width as
a = 12 ft
b = 14 ft
Let's solve for the area using the formula above.
A = lw
A = 12ft(14ft)
A = 168 ft²
These shapes are similar.
Find X.
X
9
5
27
15
21
Answers
Answer:
15
Step-by-step explanation:
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Pick A, B, C, or D
Answers
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
Answers
[tex]\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o[/tex]
Make sure your calculator is in Degree mode.
− 4 p − ( 5 p − 4 ) ≤ −4p−(5p−4)≤ 7 p + 10 + 3 p 7p+10+3p
Answers
Answer:
To solve the inequality −4p − (5p − 4) ≤ 7p + 10 + 3p, we can simplify and isolate the variable p. Let's work through the steps:
Step 1: Distribute the negative sign (-) inside the parentheses:
-4p - 5p + 4 ≤ 7p + 10 + 3p
Simplifying further:
-9p + 4 ≤ 10p + 10
Step 2: Group like terms by adding 9p to both sides of the inequality:
-9p + 9p + 4 ≤ 10p + 9p + 10
Simplifying further:
4 ≤ 19p + 10
Step 3: Subtract 10 from both sides of the inequality:
4 - 10 ≤ 19p + 10 - 10
Simplifying further:
-6 ≤ 19p
Step 4: Divide both sides of the inequality by 19:
-6/19 ≤ 19p/19
Simplifying further:
-6/19 ≤ p
So the solution to the inequality is p ≥ -6/19.
a) Su-Lo scored 45% in her test out of 80.
what mark did she
score?
Answers
Answer:
Step-by-step explanation:
To calculate Su-Lo's score on the test, we can multiply her percentage by the total marks for the test.
Su-Lo scored 45% out of 80, so her score can be calculated as follows:
Score = Percentage × Total marks
Score = 45% × 80
To find the score, we need to convert the percentage to a decimal by dividing it by 100:
Score = (45/100) × 80
Score = 0.45 × 80
Score = 36
Therefore, Su-Lo scored 36 marks on the test.