Distribute the 3/4 into the parenthesis.
should get (15/4)Z+ 48/4
then simplify
Final answer= (15/4)Z+12
Answer:
Hence, ∠ABP=10°
Step-by-step explanation:
We are given that:
AB and CD are tangents of the circle.
Now we are given that m∠ACP=10°.
Also we are given that AP and CP are radius of the given circle that means length of AP and CP are equal.
Also we know that angle opposite to the equal sides are equal that means:
∠ACP=∠PAC.
Hence , ∠PAC=10°.
Also in a triangle the sum of all the angles is 180°.
i.e. ∠ACP+∠PAC+∠APC=180°
this means that 10+10+∠APC=180°
∠APC=180-20
∠APC=180-20=160°
As AB and CD are tangents to the circles that means:
∠BAP=∠BCP=90°
Also APCB is a quadrilateral and we know that sum of all the angles of a quadrilateral=360°
Hence,
∠BAP+∠BCP+∠APC+∠ABC=360°
⇒ 90+90+160+∠ABC=360
⇒ 180+160+∠ABC=360
⇒ 340+∠ABC=360
⇒ ∠ABC=360-340=20°
also ∠ABP=(1/2)∠ABC
Hence, ∠ABP=(1/2)×20°=10°
Hence, ∠ABP=10°
Answer:
960 ft
Step-by-step explanation:
We need to find the surface area. To do this, let's see the shapes that are present. There are two triangles with a base and height of 9 and 12, respectively. There is one rectangle with a base and height of 24 and 15, one with base and height of 24 and 12, and finally one with a base and height of 24 and 9.
The areas are:
Triangles: 1/2bh = 1/2(9)(12) = 48 (there are two of these)
Rectangle 1: bh = (24)(15) = 360
Rectangle 2: bh = (24)(12) = 288
Rectangle 3: bh = (24)(9) = 216
Adding all these areas together, we get 960.
Thus, Monique will need 960 feet of fabric to cover the prism.
Hope this helps!
Answer:
560 students
Step-by-step explanation:
We are given that the total number of students is
700
The survey results is 80% likes the new lunch menu
We are expected to establish what amount of students is 80%
=80/100*700
=0.8*700
=560
Hence 80% of 700 is 560
Answer:
undefined
Step-by-step explanation:
The slope formula tells you the slope is ...
m = (y2 -y1)/(x2 -x1)
Fill in the point coordinates, we find the slope to be ...
m = (6 -9)/(-5 -(-5)) = -3/0
This slope is undefined.
___
It means the line is a vertical line. The constant must match the x-coordinates of the points:
x = -5 . . . . the line through the given points
