Answer:
28 cm
Step-by-step explanation:
Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.
So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.
[tex] P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ) [/tex]
[tex] P(\triangle ABC) = \frac{1}{2} \times 56 [/tex]
[tex] P(\triangle ABC) = 28\: cm [/tex]
A recipe for cake calls for 3/4 cup of sugar and 2 cups of flour.
Write an equation to represent the relationship between s, sugar, and f, flour.
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
Answer:
32 tablespoons of sugar.
Step-by-step explanation:
What's the probability you will flip 3 coins in a row and they all land on HEADS?
A. 3 out of 6 chance
B. 1/8 chance
C. 2 in 16 chance
D. 4 in 5 chance
Answer:
B. 1/8 chance
Step-by-step explanation:
Every time you flip a coin you have a 1/2 probability of landing on heads.
If you repeated the process three times in the row
It would be 1/2 x 1/2 x 1/2 = 1/8
The odds they all land on heads is 1/8
Can someone pls help me with this ?
Answer:
1,3,4,5
Step-by-step explanation:
I cant see 8
Which coordinates represent a translation of B(1, 2) 3 units to the left and 2 units up?
B′(–2, 0)
B′(–2, 4)
B′(4, 4)
B′(4, 0)
Answer:
(-2,4)
Step-by-step explanation:
B(1,2)
(x-3, y+2)
1-3=-2
x=(-2)
2+2=4
y=4
Hope this helps! :)
Answer:
B'(-2, 4)
Step-by-step explanation:
If it goes 3 units left, that means you're doing x - 3.
If it goes 2 units up that means you're doing y + 2 This would be:
(1 - 3, 2 + 2)
(-2, 4)
what does 19+r=
PLEASE HELP
solve for the missing side,x
Answer:
5.98°
Step-by-step explanation:
Given
with reference angle 50.1°
perpendicular (p) = x
base (b) = 5
Now
tan 50.1° = p / b
1.195 = x / 5
x = 1.195 * 5
x = 5.98
Hope it will help :)
Use the Distributive Property to rewrite the algebraic expression. 9(3p + 6)
wrong answers reported
Answer:
27p+54
Step-by-step explanation:
Multiply 9 to all the numbers inside the parenthesis!
Hope this helps! :)
PLEASE ANSWER!!!!!
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth.
[tex] \sin = \frac{opp}{hyp} [/tex]
[tex] \sin(15) = \frac{280}{hyp} [/tex]
[tex]hyp = \frac{280}{ \sin(15) } [/tex]
[tex]hyp = 1081.836925 \: feet[/tex]
The direct line distance from the eagle to the mouse is 1081.837 feet
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
For ΔWXY,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]
Now,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]
[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]
[tex]900\sin X=680\sin (157^\circ)[/tex]
[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]
[tex]\sin X=0.295219[/tex]
[tex]X=\sin^{-1}(0.295219)[/tex]
[tex]X=17.17067[/tex]
[tex]X\approx 17[/tex]
Therefore, the value of ∠X is 17 degrees.
Sam bought 6 pens for an unknown price plus a
backpack. If he spent a total of $28.50, write an
equation to find the cost of each pen.
[tex] \sqrt{ x} = \sqrt{2} + 1 \: then \: x = [/tex]
helpppp asap
edit:help guys i have examm
Answer:
3+2√2Step-by-step explanation:
Given the expression
√x = √2 + 1
To get x, we will have to square both sides
(√x)² = (√2 + 1)²
x = (√2 + 1)(√2 + 1)
x = √4+√2+√2+1
x = 2+2√2+1
x = 3+2√2
Hence the value of x is 3+2√2
Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3
Given:
The expression is
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
Using distributive property, we get
[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]
[tex]=-6y+9+3y-6[/tex]
On combining like terms, we get
[tex]=(-6y+3y)+(9-6)[/tex]
[tex]=-3y+3[/tex]
Therefore, the correct option is B.
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1
Answer:
rabbit!
Step-by-step explanation:
:-)
3/10 divided by 2/5?
Answer:
3/4 is your answer
Step-by-step explanation:
factorise 49x²-y² class 8
Answer:
(7x-y)(7x+y)
Step-by-step explanation:
Answer:
(7x-y)×(7x+y)
Step-by-step explanation:
49x²-y²
7²x²-y²
(7x²)-y²
(7x-y)×(7x+y)
Find the length of the hypotenuse of the triangle. 4.5 m 6 m The length of the hypotenuse is meters.
Answer:
c = 7.5 meters.
Step-by-step explanation:
hello :
use phtagore - rule :
c² = 6²+4.5²
c² = 36 + 20.25
c² =56.25
c = √56.25
c = 7.5 meters.
Help with this please!
Answer:
47
Step-by-step explanation:
mean is found by dividing the sum of the terms by the number of terms:
(43+48+41+41+x)/5=44
173+x=220
x=220-172=47
i really need help please i am failing amth
Answer:
The correct answer is 95 degree........
Answer:variable is 75
Step-by-step explanation:
Which equation represents a line which is parallel to the line y=2x-5
1. 2x+y=8
2.x+2y=-4
3.y-2x=-8
4.x-2y=6
Answer:
3
Step-by-step explanation:
when two lines are parallel, they have the same slope
you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope
slopes:
1. -2
2. -1/2
3. 2
4. 1/2
Answer:
3. y-2x=-8
Step-by-step explanation:
A teacher can grade 10.5 tests every 30 minutes. How many tests can they grade in two 45 minute prep periods?
Answer:
31 tests.
Step-by-step explanation:
The rate for the grading is 10.5 every 30 minutes.
Two 45 minute prep periods are 90 minutes.
90 / 30 = 3.
Since three 30 minute periods fit into 90 minutes, we get
3 x 10.5 = 31.5 tests.
Since a teacher did not finish grading the .5 of the test, we don't count it.
Our answer is 31 tests.
The circumference of a circle is 8.88cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
2.82
Step-by-step explanation:
The formula for the circumference of a circle is given as:
π × D
Where D represents the Diameter of the circle.
From the question:
The circumference of a circle is 8.88cm.
The Length of the Diameter is calculated as:
8.88cm = π × D
D = 8.88 cm/π
D = 2.8265917893 cm
Approximately to 2 decimal places = 2.83cm
Therefore, the length of the diameter = 2.83 cm
What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for pi.
Answer:
28.27433
Step-by-step explanation:
c = 2π * r
Please help and hurry please
Answer:
x=7.48
Step-by-step explanation:
13^2+x^2=15^2
169+x^2=225
x^2=56
x=7.48
Answer:
x = 7.48 (2d.p.) or 7.5 (1 d.p.)
Step-by-step explanation:
Use Pythagoras' Theorem.
15 x 15 (or 15²) = 225
13 x 13 = 169
√H - A = O
225 - 169 = 56
√56 = 7.48 (2d.p.) or 7.5 (1 d.p.)
What is the solution to the systems of linear equations shown?
Answer:
C
Step-by-step explanation:
The solution to the systems of linear equations through graphing is simply the coordinates of the intersection point of the two lines.
The coordinates of the intersection line is written like this: (x, y)
Since the point is 0 on the x-axis and 3 on the y-axis, the Solution = (0, 3)
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
find the missing measure
The roots of a quadratic equation are 5 and
2
3
. If one of the two factors of the equation is
x
−
5
, which expression could be a second factor?
2
x
−
3
2 x − − 3
2
x
+
3
2 x + 3
3
x
−
2
3 x − 2
3
x
+
2
3 x + 2
I think before we get to this answer we need to understand how roots of a quadratic equation works.
When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)
In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.
Hope this helped you and if there is any questions about this please let me know in the comments.
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
When can we say that a function is continuous?