Answer:
Step-by-step explanation:
True
Answer:
To get 20 cups of purple paint, the table shows that we need 8 cups of blue paint and 12 cups of red paint. We can solve the problem using double (or triple) number lines.
Answer:
Step-by-step explanation:
In parallelogram opposite sides are equal.
y = 12
x = 5
In parallelogram diagonals bisect each other
z = 8
Answer:
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
Step-by-step explanation:
We have the following inequality:
-1.1x + 6.4 > -1.3
to solve it, we need to isolate x, as follows:
-1.1x > -1.3 - 6.4
-1.1x > -7.7
x < -7.7/-1.1 (notice that while dividing with a negative number, the sign changes)
x < 7
Part 1) <span>In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
we know that
the law of cosines establishes that
c</span>²=a²+b²-2*a*b*cos C
in this problem
c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9
applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°
the answer Part 1) is the option
<span>D. 60
</span>
Part 2) <span>In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
we know that
</span>∠C=180-(62+43)-----> ∠C=75°
<span>
Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in
the answer Part 2) is
</span><span>D.31.2</span>
