Answer:
11.8 ft
Step-by-step explanation:
Since the length of one side, l = 5.3 ft, the longer base b = 12.7 ft and the one brace, d form a triangle with angle between the longer base and side being the angle facing the brace is θ = 68.4°, we use the cosine rule to find the length of thee brace.
So d² = l² + b² -2lbcosθ
So, substituting the values of the variables into the equation, we have
d² = (5.3 ft)² + (12.7 ft)² -2(5.3)(12.7)cos68.4°
d² = 28.09 ft² + 161.29 ft² - 134.62(0.3681)
d² = 189.38 ft² - 49.56 ft²
d² = 139.82 ft²
taking square-root of both sides, we have
d = √139.82 ft²
d = 11.82 ft
d ≅ 11.8 ft to the nearest tenth of a foot.
This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm
Answer:
[tex]18cm[/tex]
Step-by-step explanation:
A of triangle =
[tex] \frac{1}{2} bh[/tex]
[tex] \frac{1}{2} \times 9 \times 8[/tex]
[tex] = 36cm2[/tex]
A of square=
[tex]s2[/tex]
[tex]36 = s2[/tex]
[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]
[tex]18cm = s[/tex]
Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Answer:
c
Step-by-step explanation:
HELP!! I tried solving this and cant seem to get it right.
Answer:
x= 20
y = 10
Step-by-step explanation:
Angles 3x° and 60° are Corrosponding angles so they are equal:
[tex]3x = 60 \\ \frac{3x}{3} = \frac{60}{3} \\ x = 20[/tex]
Angles (5y-5)° and 135° are Cointerior so add to give 180°:
[tex]5y - 5 + 135 = 180 \\ 5y + 130 = 180 \\ 5y = 180 - 130 \\ \frac{5y}{5} = \frac{50}{5} \\ y = 10[/tex]
Substitute y and x into the respective formula's to get your angles.
3y - 5 (2x + 3) - 12
Answer:
The answer is 3y - 10x - 27
Rationalise the denominator and simplify:
7/√7
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]
[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]
[tex] = √7[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Step-by-step explanation:
Given,
7/√7
The denominator is √7.
We know that
Rationalising factor of √a is √a.
Therefore, the rationalising factor of √7 is √7.
On rationalising the denominator them
=> (7/√7) × (√7/√7)
=> 7(√7)/(√7 × 7)
=> 7√7/7.
Hence, the denominator is rationalised.
Given circle and circle with radii of 6cm and 4cm respectively.
Compare the length of EF and GH.
The length of EF is ____the length of GH
The length of EF is___
The length of GH is ___
Solution :
Given that :
The radius of circle A = 6 cm
The radius of circle C = 4 cm
In circle A
[tex]\angle EAF = \theta = 140^\circ[/tex]
The length of arc EF = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]
[tex]$=2 \times 3.14 \times 6 \times \frac{140^\circ}{360^\circ}$[/tex]
= 14.653 cm
In circle C
[tex]\angle GCH = \theta = 140^\circ[/tex]
The length of arc GH = [tex]$2 \pi r \times \frac{\theta}{360^\circ}$[/tex]
[tex]$=2 \times 3.14 \times 4 \times \frac{140^\circ}{360^\circ}$[/tex]
= 9.769 cm
Therefore,
The length of EF is 14.653 cm
The length of GH is 9.769 cm
The length of EF is 1.5 times the length of GH
i.e. 14.653 = 1.5 x 9.769
14.653 = 14.653
Hence proved.
what is the answer to 3x + 2(4x − 6) = 8x + 1
Answer:
x=13/3
Step-by-step explanation:
Use long division to find the quotient below.
(2x² - 5x-3) + (x-3)
O A. X-1
B. X+1
O C. 2x-1
O D. 2x + 1
Answe
Đáp án: A
Step-by-step explanation:
Let g be the function defined by g(x) = x3 + x. If f(x) = g-1(x) and f(2) = 1, what is the value of f ′ (2)?
Answer:
f'(2) = 1/4
Step-by-step explanation:
We know that:
g(x) = x^3 + x
and f(x) is the inverse function of g(x), such that:
f(2) = 1
this is because:
g(1) = 1^3 + 1 = 2
We want to find:
f'(2)
The general formula for this case is:
if f(x) is the inverse of g(x)
and f(x) = y
then:
f'(y) = 1/g'(x)
Then in this case,
f'(2) = 1/g'(1)
so we just need to differentiate g(x)
g'(x) = 3*x + 1
and:
g'(1) = 3*1 + 1 = 4
Then:
f'(2) = 1/g'(1) = 1/4
f'(2) = 1/4
ZA and ZB are complementary angles. If m A = (2x – 13) and m
ZB = (4x - 5), then find the measure of ZB,
Answer:
43º
Step-by-step explanation:
complementary angles total 90
(2x - 13) + (4x - 5) = 90
Combine like terms
6x - 18 = 90
6x = 72
x = 12
ZB = 4x - 5
ZB = 4(12) - 5
ZB = 43º
A tiger eats about 15 pounds of food per day. A large dogs eats about 18 ounces of food per day. How many more pounds of food does a tiger eat per day?
A) 12 3_4pounds
B) 13 1_2pounds
C) 13 7_8pounds
D) 14 1_9pounds
Answer:
B
Step-by-step explanation:
Given the following quadratic equation: 0 = (x - 8) (3x - 5)
Find the solutions (Show all work) need help please
Answer:
x=8
x=5/3
Step-by-step explanation:
evey bracket equal =0 to get solution
x-8=0
x=8
3x-5=0
3x=5
x=5/3
Answer:
x=5/3 or x=8
Step-by-step explanation:
0=3x^2-29x+40
-3x^2+29x-40=0
(3x-5)(x-8)=0
-3x+5=0 or x-8=0
x=5/3 or x=8
What is the maximum number of right angles that can be contained in a
triangle?
O A. 3
OB. O
O c. 1
OD.2
Answer:
ONE...
total of three angles that add up to 180
if you had a second, that would be 180 none left for the third angle
Step-by-step explanation:
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Solve for x:
5 + 3x = 8x - 15
Answer:
4 =x
Step-by-step explanation:
5 + 3x = 8x - 15
Subtract 3x from each side
5 + 3x-3x = 8x-3x - 15
5 = 5x -15
Add 15 to each side
5+15 = 5x -15+15
20 = 5x
Divide each side by 5
20/5 = 5x/5
4 =x
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
Step-by-step explanation:
sorry dont know ut
(12 POINTS)If you can’t help out it would mean so much ty!!!
Add the Integers
2+(-2)
Answer:
0
Step-by-step explanation:
2+(-2) is basically 2-2 which is 0
Mrs. Clever rolls a number cube once.
x
1 5.
What is the probability of a 4 being on top?
A. O out of 6
B. 1 out of 6
C. 3 out of 6
D. 4 out of 6
חד
6 out of 6
Answer:
I think it would be 1 out of 6 or B.
Step-by-step explanation:
I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.
These trapezoids are similar. Which of the following is the correct similarity statement?
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produced?
Find the value of x in the isosceles triangle shown below.
The perimeter of the square below is 36 yards. What is the length of each side?
Answer:
A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four
Answer:
9 yards
Step-by-step explanation:
A square has 4 congruent sides
Given the perimeter, the sum of the 4 sides is 36 yards, then
length of side = 36 ÷ 4 = 9 yards
pls say the answer :( pls say it
Refer to the pic ...(◕ᴗ◕✿)✌️✌️
Please help me solve my problem!!!
Answer:
360°
Step-by-step explanation:
360°
Answer:
360 degrees
Step-by-step explanation:
For a polygon of n sides, the sum of the measures of the interior angles is
(n - 2)180.
A quadrilateral has 4 sides, so n = 4.
(4 - 2)(180) = 2(180) = 360
Answer: 360 degrees.
Ill mark as brainiest :)
Answer:
1 ruler costs $0.60
Step-by-step explanation:
$20-$4.70=$15.30
Calculator =$7.50
3 Packs of Pens = $1.80 each
4 rulers= x each
$7.50 + 3($1.80) + 4x = $15.30
7.50 + 5.40 + 4x = 15.30
12.90 + 4x = 15.30
4x = 2.40
x = 0.60
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
A boat sails due south from a port at a steady speed of 9km/h. The wind blows the boat due west at a speed of 3km/h. How far is the boat from the port after one hour?
I need to figure this out with the formula a2 + b2 = c2
We are solving for c2 - the hypotenuse.
Answer:
10
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
81+9=c^2
100=c^2
c=10
Sandra went to the grocery store with $25 to buy fruit. If she spent $12 on apples and $8 on bananas, which set of equations could be used to find the amount of money Sandra had left?
A. 25 - 12 = 13
13 + 8 = 21
B. 25 + 13 = 38
38 - 8 = y
C. 20 - 8 = y
y + 25 = 37
D. 12 + 8 = 20
25 - 20 = y
Answer:
D
Step-by-step explanation:
She spent $12 and *$ on two separate things, meaning she spent $20 on both.
So, 12 + 8 = 20.
If she started with 25, we subtract 20 from 25 to get how much she has left.
So, 25 - 20 = y.
Therefore, the answer is D.
Answer:
D
Step-by-step explanation:
I agree with the previous answer, it's D.
Sandra spent $12 on apples and $8 on fruit, so you would add.
That's $20, so to find out how much money she has left you do 25 - 20.