Given:
The figure of a right angle triangle.
Measure of one angle is 45 degrees.
Hypotenuse = [tex]9\sqrt{2}[/tex]
Opposite side of angle 45 degrees = a
To find:
The value of a.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
It can be rewritten as:
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
For the given triangle,
[tex]\sin (45^\circ)=\dfrac{a}{9\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{a}{9\sqrt{2}}[/tex]
[tex]\dfrac{9\sqrt{2}}{\sqrt{2}}=a[/tex]
[tex]9=a[/tex]
Therefore, the value of a is 9 units.
Which expression is equivalent to squareroot a⁷
its D
Answer:
d) sqrt a^6 × a
Step-by-step explanation:
sqrt a^6 × a
= a× a =a
6+ 1 = 7
= sqrt a^7
(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?
A.38
B.40
C.49
D.89
Answer: B. 40
Step-by-step explanation:
We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40
A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third side?
Answer:
The third side must be between 10cm and 14 cmStep-by-step explanation:
Let the third side be x
Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:
2 + 12 > x ⇒ x < 142 + x > 12 ⇒ x > 10x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive numberCombined together we have:
10 < x < 14The third side must be between 10cm and 14 cm
i need help with this question.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 32*
Explanation:
9x + 3x-10 + 2x-6 = 180
x = 14
3(14) - 10 = 32
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
<A=32
Step-by-step explanation:
9x+3x-10+2x-6=180
14x-16=180
14x=196
x=14
3(14)-10=
Find the value of this expression if x = -2 and
y = 4.
ху
3
Answer:-8/3
Step-by-step explanation:
given xy/3
putting vales of x and y
(-2)(4)/3
-8/3
Solve the equation.
m2-14 – 29
Answer:
m = 15
Step-by-step explanation:
m + 14 = 29
Subtract the 14...
m = 15
I hope this helps :)
Answer:
m = 15
Step-by-step explanation:
Which choice is the conjugate of the expression below X is greater than equal to four? X-4-5
Answer:
√x-4 - 5
Step-by-step explanation:
a p E x
Answer:
D.
Step-by-step explanation:
A P E X
Solve this system using substitution: y=5x and 7x-3y=32
Answer:
x = -4 and y = -20
Step-by-step explanation:
y = 5x and 7x - 3y = 32
→ Substitute y = 5x into 7x - 3y = 32
7x - 15x = 32
→ Simplify
-8x = 32
→ Solve
x = -4
→ Substitute x = -4 into y = 5x
5 × -4 = -20
Determine the value of x that makes each equation true.
-3x =6.3
-1.2x = -30
x/-1.2 = -0.3
^fraction
Solve please help.
What is the median of these scores,
98,82,100,84?
Answer:
the median is 91
Step-by-step explanation:
have a good day
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only .
The sandwiches are made with either turkey or ham.
The fruit is either an apple or an orange.
The drink is either bottled water or juice.
The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich, an apple, and a bottle of water in your box?
Answer:
1/8
Step-by-step explanation:
1/2 x 1/2 x 1/2
Cody bought eight bags of jelly beans at the store. He counted the number of jelly beans in each bag. These are the results:
40, 40, 42, 50, 55, 57, 59, 61
Which measure of central tendency is most appropriate for the data, and why?
mean, since it represents the most frequent number
A
B
mean, since there are no outliers that affect the data
С
median, since there are no outliers that affect the data
median, since it represents the most frequent number
D
Answer:
Mean, since it represents the most frequent number
which triangle congruence postulate, if any, can be used to prove the two triangles are congruent
Answer:
dont know answer sorry minsan tama na sagot
what’s the comparison to 3/25 and 22/25
Answer:
This is the answer. Hope it helps
Step-by-step explanation:
3/25<22/25
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.
In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.
Answer:
QR = 4.6 ft
Step-by-step explanation:
By applying tangent rule in the given triangle PQR,
tan(62°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{8.6}{QR}[/tex]
QR = [tex]\frac{8.6}{\text{tan}(62)}[/tex]
QR = 4.573
QR ≈ 4.6 ft
What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm
Answer:
The volume is 2.4
Answer:
2.4 cm
Step-by-step explanation:
Length× Width × Height
[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]
[tex]\frac{36}{15} = \frac{12}{5}[/tex]
12÷5= 2.4
Keillisse bought a new eraser that came in a cardboard wrapper.
2cm,4cm,5cm
What is the minimum amount of cardboard used for the wrapper?
A. 38 cm
B. 40 cm
C. 76 cm
D. 80 cm
someone help with number 2. (it’s algebra 1)
Answer:
98 followers
Step-by-step explanation:
Because 82(1.045)^4 is equal to 97.7865252512 which is 98 when you round it to the whole number...
GOOD LUCK
Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?
Answer:
5040 possible arrangements
Step-by-step explanation:
Given
[tex]Trophies = 7[/tex]
Required
Possible arrangements
The 1st can be placed in any 7 positions
The 2nd, in 6 positions
-----
--
-
Up till the last in 1 position
So, the number of arrangements is:
[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]Arrangements = 5040\ ways[/tex]
a truck sits on the platform of a vehicle lift. Two moving arms raise the platform until a mechanic can fit underneath. Why will the truck always be parallel to the ground as it is lifted?
Answer:
Step-by-step explanation:Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.
La suma dels quadrats de tres nombres naturals consecutius i múltiples de 3 és igual a 450. Planteja una equació de segon grau i calcula els tres nombres.
Answer:
The 3 numbers are 9, 12, and 15.
Step-by-step explanation:
I will answer in English, below the answer you can see a translation in Catalan.
This can be translated to:
The sum of the squares of three consecutive and multiple natural numbers of 3 is equal to 450. Pose a quadratic equation and calculate the three numbers.
First, a multiple of 3 can be written as:
3*n
The consecutive multiple of 3 is:
3*n + 3
The consecutive multiple of 3 is:
3*n + 3 + 3
Then the sum of their squares is:
(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2
And we know that this is equal to 450, then we need to solve the equation:
(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2 = 450
let's solve this:
9*n^2 + (9*n^2 + 2*(3*n)*3 + 9) + (9*n^2 + 2*(3*n)*6 + 36) = 450
27*n^2 + 54*n + 45 = 450
we can write this as:
27*n^2 + 54*n + 45 - 450 = 0
27*n^2 + 54*n - 405 = 0
The solutions of this equation are given by the Bhaskara's formula, and the solutions are:
[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]
we know that our numbers are naturals, then the numbers are positives, which means that we only care for the positive solution of n, which is:
n = (-54 + 216)/54 = 3
Then the 3 numbers are:
3*n = 3*3 = 9
(3*n + 3) = (3*3 + 3) = 12
(3*n + 6) = (3*3 + 6) = 15
In Catalan:
En primer lloc, es pot escriure un múltiple de 3 com:
3 * n
El múltiple consecutiu de 3 és:
3 * n + 3
El múltiple consecutiu de 3 és:
3 * n + 3 + 3
Llavors, la suma dels seus quadrats és:
(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2
I sabem que això és igual a 450, llavors hem de resoldre l’equació:
(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2 = 450
resolem això:
9 * n ^ 2 + (9 * n ^ 2 + 2 * (3 * n) * 3 + 9) + (9 * n ^ 2 + 2 * (3 * n) * 6 + 36) = 450
27 * n ^ 2 + 54 * n + 45 = 450
podem escriure això com:
27 * n ^ 2 + 54 * n + 45 - 450 = 0
27 * n ^ 2 + 54 * n - 405 = 0
Les solucions d’aquesta equació vénen donades per la fórmula de Bhaskara, i les solucions són:
[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]
sabem que els nostres nombres són naturals, aleshores els nombres són positius, cosa que significa que només ens importa la solució positiva de n, que és:
n = (-54 + 216) / 54 = 3
Llavors els 3 nombres són:
3 * n = 3 * 3 = 9
(3 * n + 3) = (3 * 3 + 3) = 12
(3 * n + 6) = (3 * 3 + 6) = 15
52% of the total number of students in a school are boys. If there are 260 boys,
Question:
52% of the total number of students in a school are boys. If there are 260 boys, how many students are there in total? how many of them are girls?
Answer and Step-by-step explanation:
The total amount of students is 500.
Yo get this by dividing 260 by 52%, or 0.52
Now, we know 260 is the amount of boys, so to find the amount of girls, we subtract 260 from 500.
500 - 260 = 240.
There are 240 students that are girls.
This also means that 48% of the total number of students in a school are girls.
#teamtrees #PAW (Plant And Water)
can anyone help me with this math question
Answer:
Dan made more money last month
Step-by-step explanation:
15/100 10/100 Make the Percent's into decimal's and Dan's is still higher
()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square
inches. What are the dimensions of the paper?
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:
[tex]P=2(l+w)[/tex]
Perimeter of a rectangular paper is 22 inches.
[tex]2(l+w)=22[/tex]
[tex]l+w=\dfrac{22}{2}[/tex]
[tex]l=11-w[/tex] ...(i)
Area of a rectangle is:
[tex]A=lw[/tex]
Area of the rectangular paper is 28 square inches.
[tex]28=lw[/tex]
Using (i), we get
[tex]28=(11-w)w[/tex]
[tex]28=11w-w^2[/tex]
[tex]w^2-11w+28=0[/tex]
Splitting the middle term, we get
[tex]w^2-7w-4w+28=0[/tex]
[tex]w(w-7)-4(w-7)=0[/tex]
[tex](w-7)(w-4)=0[/tex]
Using zero product property, we get
[tex](w-7)=0\text{ and }(w-4)=0[/tex]
[tex]w=7\text{ and }w=4[/tex]
If [tex]w=7[/tex], then by using (i)
[tex]l=11-7[/tex]
[tex]l=4[/tex]
If [tex]w=4[/tex], then by using (i)
[tex]l=11-4[/tex]
[tex]l=7[/tex]
Therefore, the dimensions of the paper are either [tex]7\times 4[/tex] or [tex]4\times 7[/tex].
Find the circumference of the circle. Use 3.14 for pi round the nearest hundredth rig necessary. 30 in the circumference of the circle is abt something in
Answer:
C=2 [tex]\pi[/tex] r
Step-by-step explanation:
Why should Emily use a wire to connect point 2 to point 4? A) Metal wire is always expensive to work with. B) Metal is a good insulator of electricity. C) Metal wire is a good conductor of electricity. D) Metal is an inexpensive material to work with.
Answer:
c.) Metal wire is a good conductor of electricity.
Step-by-step explanation:
https://byjus.com/questions/why-are-metals-good-conductors-of-electricity/#:~:text=Metals%20are%20an%20excellent%20conductor,of%20the%20interacting%20metal%20ions.
"Metals are an excellent conductor of electricity and heat because the atoms in the metals form a matrix through which outer electrons can move freely. Instead of orbiting their respective atoms, they form a sea of electrons that surround the positive nuclei of the interacting metal ions."
Hope this helped!
Stay safe! <3
The recommended amount of fertilizer is 0.6 lb per 100 square feet of garden space. How much fertilizer would be needed to fertilize 250 square feet of garden space?
Answer:
1.5 lb
Step-by-step explanation:
Steps to determining the answer
calculate the lb that would be needed for 1 square foot of the gardenMultiply the answer gotten from the above step by 250 square feetLb that would be needed for 1 square foot = 0.6 lb / 100 = 0.006
Lb needed for 250 square foot = 0.006 x 250 = 1.5 lb
Give examples of numbers that you would multiply by 3 to get an answer that is greater than 3, equal to 3, or less than 3
Answer:
1. 3 x 3 = 9
2. 3 x 1 =3
3. 3 x 0.4 = 1.2
Step-by-step explanation: Hope this helps :)
Went out to eat on his birthday 4 shot 3 dead in tha worst way
Answer:
That's unfortunate. Is everything okay?