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masha68 [24]
2 years ago
13

Find the measure of the indicated angle to the nearest degree

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0

Answer:

6). Option A

7). Option C

8). Y = 62°

Step-by-step explanation:

6). Let the missing angle = x°

    By applying cosine rule to find the missing angle,

    cos(x°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

                = \frac{35}{37}

    x = \text{cos}^{-1}(\frac{35}{37})

    x = 18.92°

    x ≈ 19°

    Option A is the answer.

7). Let the missing angle = x°

   By applying cosine rule in the given triangle,

   cos(x°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

   cos(x°) = \frac{37}{38}

   x = \text{cos}^{-1}(\frac{37}{38})

   x = 13.17

   x = 13°

   Therefore, Option C is the answer.          

8). tanY = 1.8807

    Y = \text{tan}^{-1}(1.8807)

    Y = 62°

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In a recipe, the ratio of fluid ounces of water to fluid ounces of tomato paste is 3:4. You plan to make 35 fluid ounces of sauc
WITCHER [35]
3:4......added = 7

3/7(35) = 105/7 = 15 oz water
4/7(35) = 140/7 = 20 oz tomato paste <==
4 0
3 years ago
Given △XPS≅△DNF, find the values of x and y.
White raven [17]

Answer:

x = 3

y = 15

Step-by-step explanation:

If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:

XP ≅ DN

PS ≅ NF

XS ≅ DF

Given that:

XP = 4y - 3

DN = 57

NF = 51

XS = 17x + 3

DF = 54

Therefore:

XP = DN

4y - 3 = 57 (Substitution)

Add 3 to both sides

4y = 57 + 3

4y = 60

Divide both sides by 4

y = 60/4

y = 15

Also,

XS = DF

17x + 3 = 54 (substitution)

Subtract 3 from each side

17x = 54 - 3

17x = 51

Divide both sides by 17

x = 51/17

x = 3

4 0
2 years ago
n social studies class, Cole is making a scale drawing of a flag. The flag measures 24 inches high by 36 inches wide, having thr
Ray Of Light [21]
The complete question in the attached figures

we know that

1 ft---------------> 0.083333 in

so
<span>24 inches high--------------> 24*0.083333=2 ft
</span><span>36 inches wide--------------> 36*0.083333=3 ft

</span><span>we will analyze each drawing
</span><span>
drawing a) scale 1/4 in/ 1 ft ----------> (1/4)/1=1/4
for a high of 2 ft-------------> 2*(1/4)=0.5 in
f</span>or a wide of 3 ft-------------> 3*(1/4)=0.75 in
drawing a) is not solution

drawing b) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing b) is not solution

drawing c) scale 1/2 in/ 1 ft ----------> (1/2)/1=1/2
for a high of 2 ft-------------> 2*(1/2)=1 in
for a wide of 3 ft-------------> 3*(1/2)=1.5 in
drawing c) is not solution

drawing d) scale 1 in/ 1 ft ----------> (1)/1=1
for a high of 2 ft-------------> 2*(1)=2 in
for a wide of 3 ft-------------> 3*(1)=3 in
drawing d) is a solution

the answer is 
The correct model of the flag  is the drawing D

8 0
3 years ago
A = {1, 3, 5, 7, 9}
kondor19780726 [428]
The \cap symbol means intersection, so everything that is in both sets, and the \cup symbol means union, so the two sets combined.

B \cup C = \{1, 2, 4, 5, 6, 7, 8, 9, 10\} = S
A \cap S= \{1, 5, 7, 9\}

So the answer is A.

7 0
2 years ago
Calculate the area of the shaded sector in the circle​
agasfer [191]

Answer:

Approximately, 6.283..

Step-by-step explanation:

First calculate the area of the whole circle

We have radius(r)=4 cm

Area of circle(a)=pir^2

=pi×(4)^2

=pi×16

=Approximately,50.265......

A cirlce has a total of 360 degrees

Therefore,we can conclude 360 degrees=50.265...

or,1 degree=50.265/360

1 degree=Approximately,0.139

Now,

Area for the shaded region = Area of 45 degree

=0.139×45=Approximately,6.283.....

Therefore,the area of the shaded region is approximately,6.283....

6 0
3 years ago
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